From 0aaa6900abf63c53c7f387a6c96c39aee2e2aea9 Mon Sep 17 00:00:00 2001 From: MarcelloSeppi Date: Mon, 8 Mar 2021 16:27:47 +0100 Subject: [PATCH] Final commit --- Project.ipynb | 2636 ++++++++++++++++++++++++++++++++++++++- ProjectAssignment.ipynb | 74 ++ useful.py | 473 +++++++ 3 files changed, 3155 insertions(+), 28 deletions(-) create mode 100644 ProjectAssignment.ipynb create mode 100644 useful.py diff --git a/Project.ipynb b/Project.ipynb index 3a44eb5..09ed7be 100644 --- a/Project.ipynb +++ b/Project.ipynb @@ -4,50 +4,2630 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# The motion of intermediate-mass black holes\n", + "# The motion of intermediate-mass black holes (IMBHs)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Task: \n", + " 1. Locate (if present) the black hole of intermediate mass (IMBH) in each simulation. \n", + " 2. Calculate centre of mass (COM) of the simulation.\n", + " 3. Determine the x,y,z components of the distance from the COM of the simulation.\n", + " 4. Graph the temporal evolution and the distribution over all times for a given simulation.\n", + " - e.g. by plotting a histogram, measuring the standard deviation, skewness and kurtosis (within each simulation).\n", + " 5. Discuss the statistical significance of the results and any strategies to improve it." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Contents:\n", + "\n", + "Dataset structure and initial investigations.\n", + "\n", + "Introduction - General information about IMBHs. \n", + "\n", + "Evolution of the mass in each simulation. Number of particles in the simulation over time. \n", + "\n", + "Motion of the Centre of Mass in simulations. \n", + "\n", + "Identify possible IMBH as particle with largest mass at final time.\n", + "\n", + "Graphing motion relative to COM of the IMBH candidate. \n", + "\n", + "Conclusion - Statistical significance of results and possible improvements." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Introduction" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### What is an IMBH?\n", + "\n", + "An Intermediate Massive Black Hole is a black hole (BH) with a mass approximately in the range $10^2 - 10^5 M_\\odot$. \n", + "\n", + "### Why \"intermediate\"?\n", + "\n", + "There are other types of BH.\n", + "\n", + "Stellar-mass Black Holes are BHs with masses in the range $8 - 100 M_\\odot$, the same magnitude as the mass of stars. They are formed by the hyperdense core of dead stars. There are different methods which have been successfully used to detect the existence of this kind of BH: kinematic effects, electromagnetic observations and gravitational wave detections. This kind of BH is the most commonly observed because of the way they are formed.\n", + "\n", + "Super Massive Black Holes (SMBH) are BHs of mass $M>10^5 M_\\odot$. Their method of formation is still unknown, but it is theorised that they have origins in the beginnings of the universe. Although there are not as many SMBHs as other types, they can be more easily detected because of their huge mass. Methods include X-ray detections or kinematic observations. Recently, an optical image of the SMBH in the centre of the galaxy \"M-87\" was taken.\n", + "\n", + "The mass range of IMBHs is between these two categories, as such they can be considered as the link between SMBHs and stellar-mass BHs.\n", + "\n", + "### Do IMBHs really exist?\n", + "\n", + "So far, there is no unambiguous evidence for the existence of IMBHs. Some electromagnetic observations have hinted the presence of IMBHs$^{[1][2][3]}$, but the results are not conclusive. The reason behind this uncertainty is the lack of detectors and techniques sensitive enough for measuring effect on the required scale. This has led to increased global interest from reasearchers on this topic$^{[4][5][6]}$. In the coming years, detectors such as GAIA will be able to verify if, or not, IMBHs exist.\n", + "\n", + "### Why attempt detection of IMBHs?\n", + "\n", + "An important consequence of the discovery of an IMBH is that it could deepen our understanding of cosmological dynamics and SMBHs. In theory, there could be a population of electromagnetically invisible IMBHs which could further explain the formation mechanism of SMBH.\n", + "\n", + "### What is the origin of IMBHs?\n", + "\n", + "The origin of IMBHs is still uncertain. We can exclude the theory that IMBHs are formed from the inert core of a star, as is the case for stellar-mass BHs, because no stars of sufficient mass have been detected$^{[7]}$. Stellar mass range is $0.1-100 M_\\odot$, so a very massive star could possibly form a very light IMBH. For heavier IMBHs, another explanation must be found.\n", + "\n", + "There are three main hypothesis$^{[8]}$: the first is that IMBHs have a cosmological origin, as an intermediate step towards the formation of SMBHs; the second is that they are the result of the merging of multiple massive stellar-mass BHs; the third is that they were formed by the remnants of very massive stars, the first generation of stars (Population III stars).\n", + "\n", + "### Where are IMBHs likely to be found?\n", + "\n", + "There are several candidates for IMBHs in different types of cosmic structures. In **[2]**, the authors suggested the presence of an IMBH in a spiral galaxy, while in **[1]**, a potential IMBH has been spotted in a globular cluster, and in **[3]** the candidate can be found inside a lenticular galaxy. Scientists believe they are widespread throughout the cosmos, the challenge is in detecting them." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "from useful import *\n", + "%matplotlib inline\n", + "\n", + "#useful variables\n", + "colors = [\"royalblue\", \"firebrick\"]\n", + "corrected_dataset = False\n", + "\n", + "seed = \"blackhole\"\n", + "np.random.seed(np.sum([ord(c) for c in seed]))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## The dataset" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Project structure\n", + "\n", + "We were provided two N-Body simulations, placed in two respective folders.\n", + "Each simulation is composed of several text files containing snapshots of the simulation. Thus, each simulation is constituted of files that correspond to its time evolution." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "#relative locations of each dataset\n", + "pathname_1 = '../1/'\n", + "pathname_2 = '../2/'\n", + "\n", + "#creating an array of filenames to iterate over.\n", + "filenames_1 = np.loadtxt(pathname_1+'filename.dat', dtype = str)\n", + "filenames_1 = np.array([pathname_1+i for i in filenames_1 if os.path.isfile(pathname_1+i)==True])\n", + "filenames_2 = np.loadtxt(pathname_2+'filename.dat', dtype = str)\n", + "filenames_2 = np.array([pathname_2+i for i in filenames_2 if os.path.isfile(pathname_2+i)==True])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Each snapshot presents a grid of entries. The components of position, velocity directions, mass and index of the particles are stored in corresponding columns. The index is an integer which allows to identify each particle in the simulation. Each row represents a particle of the simulation.\n", + "\n", + "The units of measure used in the simulation are the N-BODY units: the total mass of the system and the virial radius are normalized to $1$. Because of this fact, we just have a scale factor and we don't know anything about the dimensions and the mass of the system in SI.\n", + "\n", + "The time is measured in mega-years.\n", + "\n", + "### Dataset into variables\n", + "\n", + "We chose to store our dataset into `pandas.DataFrame` because:\n", + "- some built-in routines in `pandas` module compute faster than in `numpy`\n", + "- `pandas` is required to work with `seaborn`\n", + "- `pandas.DataFrame` allow using a more readable syntax, when slicing along columns or indices\n", + "\n", + "We chose to use a `MultiIndex` to index our simulations. As first level of the index we put the epoch, so that each time snapshot of the simulation corresponds to a specific value in the first index. As second level of the index, we put the index of the particle, so that the trajectory of a particle corresponds to a specific value in the second index." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Loading database\n", + "Loading complete\n", + "\n", + "Loading database\n", + "Loading complete\n", + "\n" + ] + }, + { + "data": { + "text/html": [ + "
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0.01.00.034890-0.063926-0.206574-0.539871-0.631123-1.0395870.0007971.00.0
2.00.042413-0.0801440.234427-0.278229-0.5355051.0508780.0007672.00.0
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5.0-0.224274-0.7126150.6465940.3264790.488394-0.1278820.0006955.00.0
.................................
4992.031996.01.30574732.57687830.624529-0.148412-0.015964-0.2500680.00001631996.04992.0
31997.01.44694829.03774335.741730-0.041182-0.046502-0.5932270.00001631997.04992.0
31998.01.81434730.99653832.2990300.0362950.0268860.1103730.00001631998.04992.0
31999.0-5.65524440.13289328.773527-0.0777810.074813-0.0490890.00001631999.04992.0
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" + ], + "text/plain": [ + " x y z vx vy vz \\\n", + "t idx \n", + "0.0 1.0 0.034890 -0.063926 -0.206574 -0.539871 -0.631123 -1.039587 \n", + " 2.0 0.042413 -0.080144 0.234427 -0.278229 -0.535505 1.050878 \n", + " 3.0 -1.099345 0.874376 0.283639 0.236003 0.658489 -0.153412 \n", + " 4.0 -0.008523 0.051145 0.207674 -0.269871 0.806241 0.543916 \n", + " 5.0 -0.224274 -0.712615 0.646594 0.326479 0.488394 -0.127882 \n", + "... ... ... ... ... ... ... \n", + "4992.0 31996.0 1.305747 32.576878 30.624529 -0.148412 -0.015964 -0.250068 \n", + " 31997.0 1.446948 29.037743 35.741730 -0.041182 -0.046502 -0.593227 \n", + " 31998.0 1.814347 30.996538 32.299030 0.036295 0.026886 0.110373 \n", + " 31999.0 -5.655244 40.132893 28.773527 -0.077781 0.074813 -0.049089 \n", + " 32000.0 1.616896 30.226627 33.283588 -0.317683 -0.089222 0.179668 \n", + "\n", + " m idx t \n", + "t idx \n", + "0.0 1.0 0.000797 1.0 0.0 \n", + " 2.0 0.000767 2.0 0.0 \n", + " 3.0 0.000741 3.0 0.0 \n", + " 4.0 0.000717 4.0 0.0 \n", + " 5.0 0.000695 5.0 0.0 \n", + "... ... ... ... \n", + "4992.0 31996.0 0.000016 31996.0 4992.0 \n", + " 31997.0 0.000016 31997.0 4992.0 \n", + " 31998.0 0.000016 31998.0 4992.0 \n", + " 31999.0 0.000016 31999.0 4992.0 \n", + " 32000.0 0.000016 32000.0 4992.0 \n", + "\n", + "[10889715 rows x 9 columns]" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "simulation_1 = simulation_to_pandas(filenames_1)\n", + "simulation_2 = simulation_to_pandas(filenames_2)\n", + "\n", + "simulation_1" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "To simplify syntax in the code, time and index were redundantly kept as columns in the dataframe and indexes of each entry.\n", + "\n", + "### The dataset at a first glance\n", + "\n", + "First of all we notice that the two simulations have similar time range and slightly different time sampling, and both contains $32000$ particles." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Time of simulation 1: 0.0 <= t <= 4992.0\n", + "Number of Time-Snapshots in simulation 1: 346\n", + "Number of particles in simulation 1: 32000\n", + "\n", + "Time of simulation 2: 0.0 <= t <= 4990.0\n", + "Number of Time-Snapshots in simulation 2: 351\n", + "Number of particles in simulation 2: 32000\n" + ] + } + ], + "source": [ + "timestamps_1 = get_times(simulation_1)\n", + "print('Time of simulation 1: '+str(timestamps_1[0])+' <= t <= '+str(timestamps_1[-1]))\n", + "print('Number of Time-Snapshots in simulation 1:', timestamps_1.size)\n", + "print('Number of particles in simulation 1:', get_idx(simulation_1).size)\n", + "print()\n", + "timestamps_2 = get_times(simulation_2)\n", + "print('Time of simulation 2: '+str(timestamps_2[0])+' <= t <= '+str(timestamps_2[-1]))\n", + "print('Number of Time-Snapshots in simulation 2:', timestamps_2.size)\n", + "print('Number of particles in simulation 2:', get_idx(simulation_2).size)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "To get an idea of the initial conditions in each simulation, we plot the position distribution of all particles in the first snapshot of each simulation." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "sns.pairplot(simulation_1.loc[0][[\"x\", \"y\", \"z\"]], plot_kws={\"color\": colors[0]}, diag_kws={\"color\": colors[0]})\n", + "\n", + "sns.pairplot(simulation_2.loc[0][[\"x\", \"y\", \"z\"]], plot_kws={\"color\": colors[1]}, diag_kws={\"color\": colors[1]})" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can notice that the particles have initial position normally distributed around 0, with same dispersion along the three axis. We notice that the shapes of our clusters are spherical, both with reduced radius $\\sim5$.\n", + "\n", + "We look also at the time evolution of the cluster, plotting the position of the particles at the beginning, halfway and at the end of the simulation. We consider only the $xy$-plane because as seen in the plots above, the spherical symmetry should cause the behaviour along the $z$ coordinate to be consistent with the others'." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, axs = plt.subplots(1,3, figsize=(15,5))\n", + "times = [timestamps_1[0], timestamps_1[timestamps_1.size//2], timestamps_1[-1]]\n", + "for i,t in enumerate(times):\n", + " axs[i].scatter(simulation_1.loc[t][\"x\"], simulation_1.loc[t][\"y\"], color=colors[0], alpha=0.4, s=4)\n", + " axs[i].set_title(\"Cluster at time = \"+str(t))\n", + " axs[i].set_xlabel(\"x\")\n", + " axs[i].set_ylabel(\"y\")\n", + "fig.suptitle(\"Scatterplot of positions in simulation 1\")\n", + "plt.show()\n", + "\n", + "fig, axs = plt.subplots(1,3, figsize=(15,5))\n", + "times = [timestamps_2[0], timestamps_2[timestamps_2.size//2], timestamps_2[-1]]\n", + "for i,t in enumerate(times):\n", + " axs[i].scatter(simulation_2.loc[t][\"x\"], simulation_2.loc[t][\"y\"], color=colors[1], alpha=0.4, s=4)\n", + " axs[i].set_title(\"Cluster at time = \"+str(t))\n", + " axs[i].set_xlabel(\"x\")\n", + " axs[i].set_ylabel(\"y\")\n", + "fig.suptitle(\"Scatterplot of positions in simulation 2\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The cluster boundaries increase as the simulation evolves in time. We can observe that the cluster maintains approximately a spherical shape, but some particles are much farther from the centre than at the beginning.\n", + "\n", + "Comparing the initial positions (time $= 0.0$) of the particles in the two simulations, it seems that they are equal, possibly differing by just a slight perturbation. By printing out the position of each particle, it is possible to see that they are indeed slightly different (usually at the second-third digit). Probably the two simulations where produced with the same initial conditions adding some small random noise, which, in a unstable system, lead to substantially different evolutions in terms of the individual particles, but not necessarily of the simulation as an entire statistical system.\n", + "\n", + "It's important to check the mass distribution of the particles at the beginning of the simulation." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, axs = plt.subplots(1,2, figsize=(12,5))\n", + "masses = [simulation_1.loc[0][\"m\"], simulation_2.loc[0][\"m\"]]\n", + "for i,ax in enumerate(axs):\n", + " masses[i].hist(bins=np.logspace(np.log10(masses[i].min()), np.log10(masses[i].max()), 51), color=colors[i], ax=ax)\n", + " ax.set_title(\"Simulation \"+str(i+1))\n", + " ax.set_xlabel(\"Mass\")\n", + " ax.set_ylabel(\"Counts\")\n", + " ax.set_xscale(\"log\")\n", + " ax.set_xticks(np.logspace(np.log10(masses[i].min()), np.log10(masses[i].max()), 6))\n", + " ax.set_xticklabels(np.logspace(np.log10(masses[i].min()), np.log10(masses[i].max()), 6))\n", + " ax.xaxis.set_major_formatter(FormatStrFormatter('%.2e'))\n", + "fig.tight_layout()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "From these histograms, we can conclude that:\n", + "- the two simulationshave the same particles;\n", + "- particles with lower mass are more common than particles with larger mass;\n", + "- the mass of the most massive particle is about 50 times larger than the mass of the least massive one.\n", + "\n", + "### The physical meaning\n", + "\n", + "All the considerations done so far are intended to understand what is the physical entity hidden behind this simulation. The hints are:\n", + "- the cluster has spherical symmetry\n", + "- it is composed of $O(10^4)$ particles\n", + "- all the particles have comparable mass (at most differences of one magnitude or two)\n", + "- it has a gaussian density profile\n", + "- the small difference in the initial positions suggest some kind of instability\n", + "\n", + "Considering that we are looking for an IMBH, it looks reasonable to suppose that this simulation can represent a globular cluster. In fact, such structure has all the features mentioned above, and the detection of a IMBH in globular clusters is a research topic (as seen in **[1]**).\n", + "\n", + "The evolution of particles (stars and others) in a globular cluster is knowingly chaotic, implying a tendency to instability. This could fairly explain the reason for the motivaton of fine-tuning the initial conditions discussed above.\n", + "\n", + "If the simulation is really a globular cluster, there is the possibility that the instability of the system could lead to the ejection of some of its particles." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Initial number particles in simulation 1: 32000\n", + "Final number particles in simulation 1: 30753\n", + "Percentage decrease in number of particles of simulation 1: 3.897%\n", + "\n", + "Initial number particles in simulation 2: 32000\n", + "Final number particles in simulation 2: 30653\n", + "Percentage decrease in number of particles of simulation 2: 4.209%\n" + ] + } + ], + "source": [ + "initial, final = get_idx(simulation_1).size, get_idx(simulation_1.loc[timestamps_1[-1]]).size\n", + "print('Initial number particles in simulation 1:', initial)\n", + "print('Final number particles in simulation 1:', final)\n", + "print(f'Percentage decrease in number of particles of simulation 1: {round((initial-final)/initial*100, 3)}%')\n", + "print()\n", + "initial, final = get_idx(simulation_2).size, get_idx(simulation_2.loc[timestamps_2[-1]]).size\n", + "print('Initial number particles in simulation 2:', initial)\n", + "print('Final number particles in simulation 2:', final)\n", + "print(f'Percentage decrease in number of particles of simulation 2: {round((initial-final)/initial*100, 3)}%')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The possibility of the ejection of some particles actually realises. This means that we need to investigate further the behaviour of the particles and the mass in the system, before going on with other computations.\n", + "\n", + "While investigating this properties of the system, several anomalies in the datasets have been found. " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Evolution of the mass and number of particles, discussing errors in the dataset" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We now study how the total mass and the total number of particles in the simulation evolve in time." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "def mass_and_number_evolution(dataset):\n", + " relevant_ds = dataset[[\"m\"]] # extract mass column from dataset (as DataFrame)\n", + " relevant_ds.insert(1,\"n\", 1) # append constant column of value 1\n", + " m_and_n_evolution = relevant_ds.groupby(\"t\").sum() # sums values grouped by time\n", + "\n", + " max_n = len(relevant_ds.loc[0]) # number of particles in snapshot 1\n", + "\n", + " del(relevant_ds)\n", + " \n", + " return m_and_n_evolution[\"m\"],m_and_n_evolution[\"n\"]\n", + "\n", + "\n", + "mass_evolution_1, number_evolution_1 = mass_and_number_evolution(simulation_1)\n", + "mass_evolution_2, number_evolution_2 = mass_and_number_evolution(simulation_2)\n", + "\n", + " \n", + "# plot\n", + "plt.figure(figsize= [12,5])\n", + "\n", + "plt.suptitle('Evolution of Mass and No. Particles')\n", + " \n", + "plt.subplot(121)\n", + "plt.title('Simulation One')\n", + "plt.plot(timestamps_1,mass_evolution_1, 'b-', label='Relative total Mass')\n", + "plt.plot(timestamps_1,number_evolution_1/number_evolution_1[0], 'r-', label='Relative No. Particles')\n", + "plt.xlabel(\"simulation time\")\n", + "plt.grid(True)\n", + "plt.legend()\n", + " \n", + "plt.subplot(122)\n", + "plt.title('Simulation Two')\n", + "plt.plot(timestamps_2,mass_evolution_2, 'b-', label='Relative total Mass')\n", + "plt.plot(timestamps_2,number_evolution_2/number_evolution_2[0], 'r-', label='Relative No. Particles')\n", + "plt.xlabel(\"simulation time\")\n", + "plt.grid(True)\n", + "plt.legend()\n", + "\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "By looking at the mass and number of particle plots we can make some observations:\n", + "\n", + " 1. Mass is not constant over the simulation. It decreases almost linearly with time. \n", + " 2. Particle number is not constant. Particles are ejected/vanished/destroyed.\n", + " 3. At some isolated times some unexpected increases of the total mass and/or the total number of particles are observed in both simulations.\n", + "\n", + "### How can the mass (and no. of particles) increase?\n", + "\n", + "We now focus on studying the \"anomalous behaviour\" detected in point 3." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Increments in mass:\n", + "\n" + ] + }, + { + "data": { + "text/html": [ + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# computes variation in total m and n (assigns to previous time index), drop last nan value, round numerical error values to zero\n", + "mass_variations_1 = ( mass_evolution_1.shift(-1) - mass_evolution_1 ).drop(index=timestamps_1[-1]).round(14)\n", + "number_variations_1 = ( number_evolution_1.shift(-1) - number_evolution_1 ).drop(index=timestamps_1[-1]).round(14)\n", + "mass_variations_2 = ( mass_evolution_2.shift(-1) - mass_evolution_2 ).drop(index=timestamps_2[-1]).round(14)\n", + "number_variations_2 = ( number_evolution_2.shift(-1) - number_evolution_2 ).drop(index=timestamps_2[-1]).round(14)\n", + "\n", + "# extract time indexes of increments\n", + "# m\n", + "increasing_m_times_1 = (mass_variations_1[mass_variations_1>0]).index.tolist()\n", + "increasing_m_times_2 = (mass_variations_2[mass_variations_2>0]).index.tolist()\n", + "# n\n", + "increasing_n_times_1 = (number_variations_1[number_variations_1>0]).index.tolist()\n", + "increasing_n_times_2 = (number_variations_2[number_variations_2>0]).index.tolist()\n", + "\n", + "#display\n", + "print(\"Increments in mass:\\n\")\n", + "display_side_by_side(pd.DataFrame(mass_variations_1.loc[increasing_m_times_1]),pd.DataFrame(mass_variations_2.loc[increasing_m_times_2]))\n", + "print(\"\\nIncrements in number:\\n\")\n", + "display_side_by_side(pd.DataFrame(number_variations_1.loc[increasing_n_times_1]),pd.DataFrame(number_variations_2.loc[increasing_n_times_2]))\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We now look for the possible reasons of this anomalous behaviour.\n", + "\n", + "#### Are particles allowed to change mass?\n", + "First we check wether a single particle is allowed to change its mass during the evolution." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "tags": [] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Absolute sum of single particle mass variation:\n", + "sim 1 --> 0.0\n", + "sim 2 --> 0.00033723163999999995\n" + ] + } + ], + "source": [ + "def absolute_sum_of_single_particle_mass_variation(dataset):\n", + " relevant_ds = dataset[[\"m\"]] # extract the mass values from dataset\n", + " GB = relevant_ds.groupby(\"idx\") # group by index (each group is a trajectory)\n", + " variation = (GB.max()-GB.min()).sum().tolist()[0] # computes the absolute interval of mass visited by each particle, and cumulates\n", + " del relevant_ds, GB # clears memory\n", + " return variation\n", + "\n", + "print(\"Absolute sum of single particle mass variation:\")\n", + "print(f\"sim 1 --> {absolute_sum_of_single_particle_mass_variation(simulation_1)}\")\n", + "print(f\"sim 2 --> {absolute_sum_of_single_particle_mass_variation(simulation_2)}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This means that in the first simulation there is no change in mass in any particle, while in the second there is some change of mass.\n", + "Further investigation into the origin of this mass change tracks it back to a sudden almost doubling of mass in particle $66$, which is halved again in a couple of time steps." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "strange_particle = 66\n", + "time = trajectory(simulation_2,strange_particle,\"t\")\n", + "\n", + "plt.figure(figsize=[15,8])\n", + "\n", + "plt.suptitle(\"Discontinuity check for particle 66\")\n", + "\n", + "plt.subplot(131)\n", + "plt.title(\"mass\")\n", + "plt.plot(time,trajectory(simulation_2,strange_particle,\"m\"))\n", + "plt.grid(True)\n", + "plt.xlim([2770,2900])\n", + "\n", + "plt.subplot(132)\n", + "plt.title(\"position\")\n", + "plt.plot(time,trajectory(simulation_2,strange_particle,\"x\"))\n", + "plt.plot(time,trajectory(simulation_2,strange_particle,\"y\"))\n", + "plt.plot(time,trajectory(simulation_2,strange_particle,\"z\"))\n", + "plt.grid(True)\n", + "plt.xlim([2770,2900])\n", + "plt.ylim([-2.3,-0.5])\n", + "plt.legend([\"x\",\"y\",\"z\"])\n", + "plt.xlabel(\"\")\n", + "\n", + "plt.subplot(133)\n", + "plt.title(\"velocity\")\n", + "plt.plot(time,trajectory(simulation_2,strange_particle,\"vx\"))\n", + "plt.plot(time,trajectory(simulation_2,strange_particle,\"vy\"))\n", + "plt.plot(time,trajectory(simulation_2,strange_particle,\"vz\"))\n", + "plt.grid(True)\n", + "plt.xlim([2770,2900])\n", + "plt.legend([\"vx\",\"vy\",\"vz\"])\n", + "\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Since the other quantities show no anomalous behaviour, we consider this to be an error in the dataset, and so we correct it." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "### AAA ### Fix dataset\n", + "\n", + "# \"real\" mass value\n", + "m0 = simulation_2[\"m\"].loc[0,66]\n", + "# mask of mass anomaly\n", + "odd_mass_mask = simulation_2[\"m\"].loc(axis=0)[pd.IndexSlice[:,66]] > m0\n", + "# indexes to be changed\n", + "Idx = simulation_2[[\"m\"]].loc(axis=0)[pd.IndexSlice[:,66]][ odd_mass_mask ].index\n", + "# actuate change\n", + "simulation_2[\"m\"].loc[Idx] = m0\n", + "\n", + "del odd_mass_mask, Idx\n", + "_ = gc.collect()\n", + "\n", + "### AAA ###" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "And from now on we assume that **each particle preserves its mass during the simulation**." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Absolute sum of single particle mass variation:\n", + "sim 1 --> 0.0\n", + "sim 2 --> 0.0\n" + ] + } + ], + "source": [ + "print(\"Absolute sum of single particle mass variation:\")\n", + "print(f\"sim 1 --> {absolute_sum_of_single_particle_mass_variation(simulation_1)}\")\n", + "print(f\"sim 2 --> {absolute_sum_of_single_particle_mass_variation(simulation_2)}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "While this problemm in the dataset may in principle be responsable for one of the points of mass increments in simulation 2 it can not account for the others, nor can it be responsable for the ones in simulation one, so we look for other possibilities.\n", + "\n", + "#### Are there new incoming particles?\n", + "\n", + "A possibility that accounts for mass and particle increments is the existence of incoming particles.\n", + "In order to check if and how particles appear in the dataset, we check the minimal time associated to each particle index." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Comulated sum of particles starting times:\n", + "sim 1 --> 0.0\n", + "sim 1 --> 0.0\n" + ] + } + ], + "source": [ + "def comulated_particles_starting_times(dataset):\n", + " groupby_index = dataset[[\"t\"]].groupby(\"idx\") # extract list of times associated to each particle\n", + " return groupby_index.min().sum().tolist()[0] # sum over the minimum value of starting times for each particle\n", + "\n", + "\n", + "print(f\"Comulated sum of particles starting times:\")\n", + "print(f\"sim 1 --> {comulated_particles_starting_times(simulation_1)}\")\n", + "print(f\"sim 1 --> {comulated_particles_starting_times(simulation_2)}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Which means, given the fact that all times are bound to be positive, that every particle in the dataset starts at t=0 and there are no (new) incoming particles.\n", + "\n", + "#### Can escaped particles come back?\n", + "\n", + "Even if all particles starts at $t=0$, it may in principle be possible for an escaped particle to come back at a certain point.\n", + "\n", + "We now check if it is possible for previously escaped particles to come back.\n", + "We enquire into this by looking for missing values in the time series asociated to each particle." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "computing for sim 1...\n", + "computing for sim 2...\n", + "\n", + "\n", + "Particles with 'bubbles' in their time sequence:\n", + "\n" + ] + }, + { + "data": { + "text/html": [ + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# takes a few seconds...\n", + "def find_missing_time(dataset,timestamps):\n", + " groupby_index = dataset[[\"t\"]].groupby(\"idx\") # extract list of times associated to each particle\n", + " group_operation = lambda group : group.max()-timestamps[len(group)-1] # difference between timestamps value and expected time given the number of stamps\n", + " missing_time = groupby_index.agg(group_operation) # agg applies function to each group \n", + " missing_time = missing_time[missing_time[\"t\"]!=0] # filters for existing discrepancies\n", + " return missing_time.rename(columns={\"t\":\"missing_time\"})\n", + "\n", + "print(\"computing for sim 1...\")\n", + "missing_time_1 = find_missing_time(simulation_1,timestamps_1)\n", + "print(\"computing for sim 2...\")\n", + "missing_time_2 = find_missing_time(simulation_2,timestamps_2)\n", + "\n", + "print(\"\\n\\nParticles with 'bubbles' in their time sequence:\\n\")\n", + "display_side_by_side(missing_time_1, missing_time_2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here we can se the particle indexes with \"bubbles\" in their time sequence, and the corresponding time missing.\n", + "\n", + "Since the missing times amount to single time steps we conclude that escaped particles do not come back and the source of the time jumps is once again to be ascribed to corruption in the dataset. We now look exactly at which time frames are missing and reinsert them by linearly interpolate the values of the previous and following points.\n", + "\n", + "In order to find which time stamps are missing for a given particle, we compare the time sequence of a problematic particle with the time sequence of a particle which misses one frame at the beginning. At the beginnig this two sequences will be different but when the missing frame is reached the particle time sequence will collapse on the 'one missing' line. " + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "problematic_particles_1 = missing_time_1.index.to_numpy(dtype=int) # array of the indexes with anomalous trajectory\n", + "problematic_particles_2 = missing_time_2.index.to_numpy(dtype=int)\n", + "\n", + "plt.figure(figsize=[16,10])\n", + "\n", + "plt.suptitle(\"Difference from standard time sequence\")\n", + "\n", + "axsa_1 = plt.subplot(221)\n", + "axsb_1 = plt.subplot(222)\n", + "axsa_1.set_title(\"Simulation 1\")\n", + "axsb_1.set_title(\"Simulation 1\")\n", + "missing_times_1 = plot_time_differences(axsa_1,axsb_1,simulation_1,timestamps_1,problematic_particles_1,increasing_m_times_1,increasing_n_times_1)\n", + "\n", + "axsa_2 = plt.subplot(223)\n", + "axsb_2 = plt.subplot(224)\n", + "axsa_2.set_title(\"Simulation 2\")\n", + "axsb_2.set_title(\"Simulation 2\")\n", + "missing_times_2 = plot_time_differences(axsa_2,axsb_2,simulation_2,timestamps_2,problematic_particles_2,increasing_m_times_2,increasing_n_times_2)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On the right plots we can observe where the missing frames of each particle are located in the simulation. When a particle line collapses on the dashed line a time frame is missing.\n", + "\n", + "We observe that almost all anomalies in mass and number can be ascriben to missing time-frames. All exept one, which can instead be related to the \"mass anomaly\" previously studied and fixed.\n", + "\n", + "We now fix the dataset reconstructing the missing time steps by interpolation.\n", + "\n", + "#### Fixing the dataset\n", + "\n", + "For each problematic particle in simulations 1 and 2 we found the following missing times:" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Missing times from problematic particles:\n", + "\n", + "Sim 1:\n", + "particles --> [ 1 2 13 20 22 34 61 111 140]\n", + "missing times --> [290.0, 290.0, 350.0, 290.0, 350.0, 1400.0, 350.0, 1400.0, 1400.0]\n", + "Sim 2:\n", + "particles --> [ 38 40 67 72 89 152]\n", + "missing times --> [2310.0, 2310.0, 4730.0, 4730.0, 2310.0, 4730.0]\n" + ] + } + ], + "source": [ + "missing_time_stamps_1 = compute_missing_times(simulation_1,timestamps_1,problematic_particles_1,increasing_m_times_1,increasing_n_times_1)\n", + "missing_time_stamps_2 = compute_missing_times(simulation_2,timestamps_2,problematic_particles_2,increasing_m_times_2,increasing_n_times_2)\n", + "\n", + "print(\"Missing times from problematic particles:\\n\")\n", + "print(\"Sim 1:\")\n", + "print(f\"particles --> {problematic_particles_1}\")\n", + "print(f\"missing times --> {missing_time_stamps_1}\")\n", + "print(\"Sim 2:\")\n", + "print(f\"particles --> {problematic_particles_2}\")\n", + "print(f\"missing times --> {missing_time_stamps_2}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We now reconstruct the missing data and append them to our dataset." + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "### AAA ### Fix dataset\n", + "\n", + "if (corrected_dataset == False) :\n", + " simulation_1 = simulation_1.append(missing_frames(simulation_1,problematic_particles_1,missing_time_stamps_1))\n", + " simulation_2 = simulation_2.append(missing_frames(simulation_2,problematic_particles_2,missing_time_stamps_2))\n", + " gc.collect()\n", + " corrected_dataset = True\n", + "\n", + "# resorting the datasets\n", + "simulation_1.sort_index(axis=\"index\", inplace=True)\n", + "simulation_2.sort_index(axis=\"index\", inplace=True)\n", + "\n", + "### AAA ###" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "By observing the new mass and number evolution plot, we observe that the \"kinks\" previously present have now been removed." + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "mass_evolution_1, number_evolution_1 = mass_and_number_evolution(simulation_1)\n", + "mass_evolution_2, number_evolution_2 = mass_and_number_evolution(simulation_2)\n", + " \n", + "# plot\n", + "plt.figure(figsize= [12,5])\n", + "\n", + "plt.suptitle('Evolution of Mass and No. Particles')\n", + " \n", + "plt.subplot(121)\n", + "plt.title('Simulation 1')\n", + "plt.plot(timestamps_1,mass_evolution_1, 'b-', label='Relative total Mass')\n", + "plt.plot(timestamps_1,number_evolution_1/number_evolution_1[0], 'r-', label='Relative No. Particles')\n", + "plt.xlabel(\"simulation time\")\n", + "plt.grid(True)\n", + "plt.legend()\n", + " \n", + "plt.subplot(122)\n", + "plt.title('Simulation 2')\n", + "plt.plot(timestamps_2,mass_evolution_2, 'b-', label='Relative total Mass')\n", + "plt.plot(timestamps_2,number_evolution_2/number_evolution_2[0], 'r-', label='Relative No. Particles')\n", + "plt.xlabel(\"simulation time\")\n", + "plt.grid(True)\n", + "plt.legend()\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summing up: particles vanish and do npt come back\n", + "\n", + "We have seen that each particle index preserves its mass during the simulation, and that no new indexes appear, terefore **there are no incoming particles, nor merging events**. We have seen that during the simulation particles are ejected, without coming back, as illustrated by the decreasing particle number with respect to time. \n", + "\n", + "### Why some particles vanish?\n", + "\n", + "After fixing the datasets for the anomalous behaviour of some particles, we are left with an almost constant decrease in the number of particles and the mass of the system, which must be further investigated.\n", + "\n", + "First of all, we select some particles among the ones who vanish and we plot their 3D trajectory to see what happens." + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "vanished_particles_1 = get_vanishing_particles(simulation_1)\n", + "vanished_particles_2 = get_vanishing_particles(simulation_2)\n", + "\n", + "some_vanished_particles_1 = np.random.choice(vanished_particles_1, 4)\n", + "some_vanished_particles_2 = np.random.choice(vanished_particles_2, 4)\n", + "\n", + "fig, axs = subplots3d(1, 2, figsize=(15,7))\n", + "path_plot3D(take_these_particles(simulation_1, some_vanished_particles_1), axs[0], \"Some vanishing particles simulation 1\")\n", + "path_plot3D(take_these_particles(simulation_2, some_vanished_particles_2), axs[1], \"Some vanishing particles simulation 2\")\n", + "\n", + "del fig, axs\n", + "_ = gc.collect()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The trajectories of the disappearing particles finish with a straight line going out from the centre of the simulation. The physical meaning is that these particles, after making a scattering, they acquire enough kinetic energy to escape from the system. Once the simulation program computes an unbounded energy for some particles, it excludes them from the simulation.\n", + "\n", + "It could be interesting to study what are the particles which escape from the simulation.\n", + "\n", + "### Analysis of the ejected particles\n", + "\n", + "We have seen that during the simulation some particles are ejected, we now look for correlation between mass of the particles and probability of ejection.\n", + "\n", + "The distribution of the masses is definitely not uniform, so to get a meaningful result we divide the histogram of the masses of the ejected particles by the histogram of all the masses. In such a way, we obtain the frequency of ejected particles in each bin." + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "particles per bin:\n", + "\n", + "ejected --> [1476 559 188 77 33 31 43 93 62 32]\n", + "initial --> [34746 15890 7266 3322 1520 696 316 146 66 32]\n" + ] + } + ], + "source": [ + "escaped_1 = take_these_particles(simulation_1, vanished_particles_1) # selects the data of the particles that escape fron the simulation\n", + "escaped_2 = take_these_particles(simulation_2, vanished_particles_2)\n", + "\n", + "mmax = simulation_1[\"m\"].loc[0].max() # same for both datasets\n", + "mmin = simulation_1[\"m\"].loc[0].min()\n", + "logbins = np.logspace(np.log10(mmin), np.log10(mmax), 11)\n", + "\n", + "hist1_e, division = np.histogram(escaped_1[\"m\"].loc[0], bins=logbins)\n", + "hist2_e, division = np.histogram(escaped_2[\"m\"].loc[0], bins=logbins)\n", + "hist_e = hist1_e + hist2_e\n", + "\n", + "hist1, division = np.histogram(simulation_1[\"m\"].loc[0], bins=logbins)\n", + "hist2, division = np.histogram(simulation_2[\"m\"].loc[0], bins=logbins)\n", + "hist = hist1+hist2\n", + "\n", + "fig, ax = plt.subplots(1, 1, figsize=(8,5))\n", + "\n", + "ax.set_title(\"Ejection probability for different masses\")\n", + "ax.hist((logbins[1:]+logbins[:-1])/2,bins=logbins, weights=hist_e/hist, color='forestgreen', linestyle='-', linewidth=2)\n", + "ax.set_ylabel(\"Ejection probability\")\n", + "ax.set_xlabel(\"Reduced mass of particles\")\n", + "ax.set_xscale(\"log\")\n", + "ax.set_xticks(np.logspace(np.log10(mmin), np.log10(mmax), 6))\n", + "ax.set_xticklabels(np.logspace(np.log10(mmin), np.log10(mmax), 6))\n", + "ax.xaxis.set_major_formatter(FormatStrFormatter('%.2e'))\n", + "plt.grid(True)\n", + "fig.tight_layout()\n", + "plt.show()\n", + "\n", + "print(\"particles per bin:\\n\")\n", + "print(f\"ejected --> {hist_e}\")\n", + "print(f\"initial --> {hist}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The data shows likelihood of ejection increases with increasing mass. We notice that ***all*** the most massive particles, in both simulations, are ejected." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## The centre of mass" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "To better understand the dynamics of the system, we attempt several different approaches to determine the coordinates and motion of the centre of mass.\n", + "\n", + "The first approach is to compute the centre of mass in the standard way, obtaining its trajectory in the simulation." + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, axs = subplots3d(1,2, figsize=(15,7))\n", + "\n", + "fig.suptitle(\"Centre of mass trajectory\")\n", + "\n", + "COM_1_trajectory = pd.concat([centre_of_mass(simulation_1.loc[t]) for t in timestamps_1])\n", + "axs[0].scatter(COM_1_trajectory[\"x\"], COM_1_trajectory[\"y\"], COM_1_trajectory[\"z\"], color=colors[0], s=10, alpha=0.1)\n", + "\n", + "COM_2_trajectory = pd.concat([centre_of_mass(simulation_2.loc[t]) for t in timestamps_2])\n", + "axs[1].scatter(COM_2_trajectory[\"x\"], COM_2_trajectory[\"y\"], COM_2_trajectory[\"z\"], color=colors[1], s=10, alpha=0.1)\n", + "\n", + "for i,ax in enumerate(axs):\n", + " ax.set_title(\"Simulation \"+str(i+1))\n", + " ax.set_xlabel(\"x\")\n", + " ax.set_ylabel(\"y\")\n", + " ax.set_zlabel(\"z\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We notice some anomalous behaviour in the motion of the centre of mass:\n", + "- it does not move as a free particle (changes direction).\n", + "- its trajectory is not smooth (there are some discontinuities and some angles).\n", + "- it speeds up as the simulation evolves (color intensity in the plot indicates how much time is passed in a given position: in darker areas, the center of mass is moving more slowly).\n", + "\n", + "Since the function used to compute the centre of mass position is thought to be as computationally safe as possible, it is not likely that the anomalies are due to computational errors, also because of the range of the positions of the centre of mass is too big to be due to rounding errors. We must investigate the problem.\n", + "\n", + "The cause of this global acceleration is to be ascribed to the recoil left in the system by the particles which are ejected into hyperbolic orbits and are therefore excluded from the simulation (as discussed above): when the particles disappear from the simulation, their momenta vanish too and the centre of mass suddently loses some of its momentum.\n", + "\n", + "Hue density in the plot indicates the positions in which the centre of mass spends more time, and is therefore associated to lower speeds. We can observe that in the beginning the centre of mass is relatively still around the origin of the reference frame. As more mass is ejected form the system it acquires more and more momentum in random directions. We can observe that the trajectories shows an almost uniform motion with its direction changed by recoils, associated with particularly energetic ejection events.\n", + "\n", + "#### Drop the ejected particles from the computation\n", + "\n", + "In order to smooth the trajectory of the centre of mass, we extract the subset of all the particles which remain at the end of the simulation." + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [], + "source": [ + "survived_1 = drop_these_particles(simulation_1, vanished_particles_1)\n", + "survived_2 = drop_these_particles(simulation_2, vanished_particles_2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Compute the centre of mass over the core only\n", + "\n", + "As the simulation evolves, some particles move very far away from the centre of the cluster, with trajectories that while seeming unbound, are not discarded by the simulation algorithm. When computing the centre of mass position, the farthest particles have greater weight, and this is not physically meaningful. In fact, the particles which interact the most are the ones in the core of the cluster, so it is important to study the time evolution of the core of the cluster.\n", + "\n", + "We now plot the distribution of the positions of the particles along the $x$-axis (assuming a similar behavior in the $y$ and $z$ directions) at the beginning, in the middle, and at the end of the simulation." + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, axs = plt.subplots(1,3, figsize=(15,5))\n", + "times = [timestamps_1[0], timestamps_1[timestamps_1.size//2], timestamps_1[-1]]\n", + "for i,t in enumerate(times):\n", + " axs[i].hist(simulation_1.loc[t][\"x\"], bins=50, color=colors[0])\n", + " axs[i].set_title(\"Cluster at time = \"+str(t))\n", + " axs[i].set_xlabel(\"x\")\n", + "axs[0].set_ylabel(\"Counts\")\n", + "fig.suptitle(\"Distribution of positions in simulation 1\")\n", + "plt.show()\n", + "\n", + "fig, axs = plt.subplots(1,3, figsize=(15,5))\n", + "times = [timestamps_2[0], timestamps_2[timestamps_2.size//2], timestamps_2[-1]]\n", + "for i,t in enumerate(times):\n", + " axs[i].hist(simulation_2.loc[t][\"x\"], bins=50, color=colors[1])\n", + " axs[i].set_title(\"Cluster at time = \"+str(t))\n", + " axs[i].set_xlabel(\"x\")\n", + "axs[0].set_ylabel(\"Counts\")\n", + "fig.suptitle(\"Distribution of positions in simulation 2\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The histograms show that the more the simulation evolves, the effect of the particles furthest from the centre of mass becomes increasingly pronounced. Thus, we adopt an iterative algorithm which computes the centre of mass in such a way:\n", + "\n", + "1. compute the position of the centre of mass over all the particles\n", + "2. compute the distances of all the particles from that centre of mass\n", + "3. discard particles whose distance to the center of mass is above a decided relative threshold.\n", + "4. recompute the position of the centre of mass over those particles\n", + "5. iterate until the difference between two consecutive results falls below a certain sensitivity limit.\n", + "\n", + "We show that this method can give reliable results plotting the distribution of the positions of the particles in the last time snapshot, varying the value of the threshold." + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "thresholds = np.array([0.999, 0.99, 0.9, 0.5, 0.2])\n", + "\n", + "fig, axs = plt.subplots(1, len(thresholds), figsize=(13,3))\n", + "snap = simulation_1.loc[timestamps_1[-1]]\n", + "for i,ax in enumerate(axs):\n", + " _, selection = iterative_COM_core(snap, thresholds[i])\n", + " ax.hist(selection[\"x\"], bins=50, color=colors[0])\n", + " ax.set_xlabel(\"x\")\n", + " ax.set_title(\"Threshold = \"+str(thresholds[i]))\n", + "fig.suptitle(\"Simulation 1, position distribution in the last time snapshot\")\n", + "fig.tight_layout()\n", + "\n", + "fig, axs = plt.subplots(1, len(thresholds), figsize=(13,3))\n", + "snap = simulation_2.loc[timestamps_2[-1]]\n", + "for i,ax in enumerate(axs):\n", + " _, selection = iterative_COM_core(snap, thresholds[i])\n", + " ax.hist(selection[\"x\"], bins=50, color=colors[1])\n", + " ax.set_xlabel(\"x\")\n", + " ax.set_title(\"Threshold = \"+str(thresholds[i]))\n", + "fig.suptitle(\"Simulation 2, position distribution in the last time snapshot\")\n", + "fig.tight_layout()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The distribution corresponding to the threshold $0.9$ seems to be the best one, because the long tails are cut but it still preserves a sort of gaussian shape. We will set the default value of the threshold to $0.9$.\n", + "\n", + "We show a scatterplot of the last time snapshots in both simulations, enlighting the particles which are within the threshold." + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, axs = plt.subplots(1,2, figsize=(12,5))\n", + "\n", + "snap = simulation_1.loc[timestamps_1[-1]]\n", + "cm, selection = iterative_COM_core(snap)\n", + "axs[0].scatter(snap[\"x\"], snap[\"y\"], color='b', s=20, alpha=0.2, label=\"All particles\")\n", + "axs[0].scatter(selection[\"x\"], selection[\"y\"], color='r', s=2, label=\"Selected particles\")\n", + "axs[0].scatter(cm[-1,0], cm[-1,1], color='c', marker='*', s=100, label=\"Centre of mass\")\n", + "\n", + "snap = simulation_2.loc[timestamps_2[-1]]\n", + "cm, selection = iterative_COM_core(snap)\n", + "axs[1].scatter(snap[\"x\"], snap[\"y\"], color='b', s=20, alpha=0.2, label=\"All particles\")\n", + "axs[1].scatter(selection[\"x\"], selection[\"y\"], color='r', s=2, label=\"Selected particles\")\n", + "axs[1].scatter(cm[-1,0], cm[-1,1], color='c', marker='*', s=100, label=\"Centre of mass\")\n", + "\n", + "for i,ax in enumerate(axs):\n", + " ax.set_xlabel(\"x\")\n", + " ax.set_ylabel(\"y\")\n", + " ax.set_title(\"Simulation \"+str(i+1))\n", + " ax.legend()\n", + "fig.suptitle(\"Last time snapshots\")\n", + "fig.tight_layout()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The final result for the trajectory of the centre of mass is the following." + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Processing: 100%\r" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "COM_1 = compute_COM(survived_1)\n", + "COM_2 = compute_COM(survived_2)\n", + "\n", + "fig, axs = subplots3d(1,2, figsize=(15,7))\n", + "\n", + "fig.suptitle(\"Centre of mass trajectory\")\n", + "\n", + "axs[0].scatter(COM_1[\"x\"], COM_1[\"y\"], COM_1[\"z\"], color=colors[0], s=10, alpha=0.1)\n", + "\n", + "axs[1].scatter(COM_2[\"x\"], COM_2[\"y\"], COM_2[\"z\"], color=colors[1], s=10, alpha=0.1)\n", + "\n", + "for i,ax in enumerate(axs):\n", + " ax.set_title(\"Simulation \"+str(i+1))\n", + " ax.set_xlabel(\"x\")\n", + " ax.set_ylabel(\"y\")\n", + " ax.set_zlabel(\"z\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Despite having excluded the ejected particles from the computation, there is still an evidence of their existence. Excluding those particles is equivalent to consider them as an \"external perturbation\", which plays the role of a random external force acting on the system, making it drift in a non-inertial way. We cannot remove this effect from the simulation, but at least we have a more meaningful computation of the centre of mass, as portrayed by the smoothing of the paths when compared to the earlier plots.\n", + "\n", + "With this more sensible definition for the centre of mass, we may proceed to analyse the motion of the particles (and in particular of our IMBH candidate) in the centre of mass frame." + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [], + "source": [ + "del survived_1, survived_2, escaped_1, escaped_2\n", + "_ = gc.collect()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "tags": [] + }, + "source": [ + "## Analysis of relative position, velocities, and mass distribution" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "tags": [] + }, + "source": [ + "Given the demanding nature of the computation, we focus solely on the first simulation.\n", + "\n", + "Initially, we compute the relative properties over the whole dataset (relative position and relative velocities).\n", + "\n", + "Then we reinsert in the dataset the value of the masses, and for convenience we also compute the absolute distances of the particles from the centre of mass." + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "100.00%\t 261 s\r" + ] + } + ], + "source": [ + "relative_1 = change_to_COM_frame(simulation_1, COM_1)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Position and velocity distributions\n", + "We now study the distribution of the relative poitions and velocities over the whole evolution, to measure the extent of symmetry in the data, and the weight of the tails in each distribution through the measure of skewness and kurtosis." + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
Std. devSkewnessKurtosis
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y6.328723-5.114811447.166295
z6.139047-0.769170441.994772
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Std. devSkewnessKurtosis
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vy0.3168610.0031930.915024
vz0.3174960.0633374.375132
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "coords = ['x', 'y', 'z']\n", + "directions = ['vx', 'vy', 'vz']\n", + "\n", + "r1_stats_pos = pd.DataFrame({'Std. dev': relative_1[coords].std() , 'Skewness' : relative_1[coords].skew() , 'Kurtosis' : relative_1[coords].kurt()} )\n", + "r1_stats_vel = pd.DataFrame({'Std. dev': relative_1[directions].std(), 'Skewness' : relative_1[directions].skew(), 'Kurtosis' : relative_1[directions].kurt()})\n", + "\n", + "display_side_by_side(r1_stats_pos,r1_stats_vel)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "As far as skewness is concerned, both distributions seem fairly symmetric. \n", + "\n", + "The kurtosis index instead is very different between the two. The position distributions seems to encompass a larger range, while the velocity distributions seem low and homogeneous.\n", + "\n", + "We now plot the distributions explicitly." + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "xcounts, xbins = np.histogram(relative_1['x'], bins = 'fd')\n", + "ycounts, ybins = np.histogram(relative_1['y'], bins = 'fd')\n", + "zcounts, zbins = np.histogram(relative_1['z'], bins = 'fd')\n", + "\n", + "vxcounts, vxbins = np.histogram(relative_1['vx'], bins = 'fd')\n", + "vycounts, vybins = np.histogram(relative_1['vy'], bins = 'fd')\n", + "vzcounts, vzbins = np.histogram(relative_1['vz'], bins = 'fd')\n", + "\n", + "fig = plt.figure( figsize = (15,6))\n", + "\n", + "fig.suptitle('Position distribution in simulation 1')\n", + "\n", + "axs = plt.subplot(121)\n", + "plt.title(\"Coordinates distribution\")\n", + "plt.plot(0.5*(xbins[1:]+xbins[:-1]),xcounts,alpha=0.9,linestyle='',marker='.',label=\"x\")\n", + "plt.plot(0.5*(ybins[1:]+ybins[:-1]),ycounts,alpha=0.45,linestyle='',marker='.',label=\"y\")\n", + "plt.plot(0.5*(zbins[1:]+zbins[:-1]),zcounts,alpha=0.1,linestyle='',marker='.',label=\"z\")\n", + "plt.xlabel('x/y/z')\n", + "plt.ylabel('counts')\n", + "plt.xlim([-50,50])\n", + "plt.yscale(\"log\")\n", + "plt.legend()\n", + "plt.grid(True)\n", + "\n", + "axs = plt.subplot(122)\n", + "plt.title(\"Velocity components distribution\")\n", + "plt.plot(0.5*(vxbins[1:]+vxbins[:-1]),vxcounts,alpha=0.8,linestyle='',marker='.',label=\"vx\")\n", + "plt.plot(0.5*(vybins[1:]+vybins[:-1]),vycounts,alpha=0.5,linestyle='',marker='.',label=\"vy\")\n", + "plt.plot(0.5*(vzbins[1:]+vzbins[:-1]),vzcounts,alpha=0.2,linestyle='',marker='.',label=\"vz\")\n", + "plt.xlabel('vx/vy/vz')\n", + "plt.ylabel('counts')\n", + "plt.xlim([-2,2])\n", + "plt.yscale(\"log\")\n", + "plt.legend()\n", + "plt.grid(True)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "First of all we notice that the distributions of the three coordinates are similar, further pointing to spherical symmetry in the system.\n", + "\n", + "In agreement with the skewness and kurtosis indexes, both distributions are symmetric, but present a contrasting long range behaviour. For higher values, the velocity distribution is more similar to a reversed parabola, which is the log equivalent of a gaussian distribution. On the other hand, the position distribution tails are more similar to an inverse logarithm, pointing to a Lorentzian distribution.\n", + "\n", + "### Density profile in the star cluster\n", + "\n", + "We now study the density profile (mass over volume) of the cluster. Since we have seen that the cluster is highly symmetric, it makes sense to express such densities as radial functions.\n", + "\n", + "We define a general profiling function. The profiling function proceeds by computing the 2D histogram of the dystance and the quantity of interest. By contraction over the quantity dimension it obtains the quantity profile of the cluster (how much of the quantity is preset in each bin of distance). By dividing the quantity profile by the proper volume element, the density of the quantity as a function of the radial distance from the COM is obtained.\n", + "\n", + "We now apply our profiling function over distance and mass to obtaind the mass density profile." + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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Uei5MGpvNL/41qZTpE0uYOrGU6rFZJo4pIVfqEGtJkjQ0mQhLUpEaOyrL2FFZjjygvK2suTmxbE0Tzy5vYOnq7StbP/R0PXUNqcP540ZnqR6bZdK4/LDtSeMKr8eVOBdZkiQNaibCkqQ22Wx+DvHMTsOsW1oSL2zIz0PO75Pc3LZf8mPP1vOn+7fRvH2LZMpzwdzpOfabkX/MnZZfCMxeZEmSNBiYCEuSdimTibYFu7rS3JJYt6GZVeubWPFCE08va+CJpQ0svGML1/0x35OcCZg8voQZk0rZd1LrcykzJpVSVeFcZEmS1H9MhCVJey2bCSaOLWHi2BIOnQu8PF/e3JxYurqRZ1c0snRVI8+tbGTpqibuebSWpna7Po0bnWXm5FJmFBLkGdWlTKsuYfzorHsiS5KkXmciLEnqM9lsMGtKjllTch3Km5sTKworWT+/Kp8cP7+qkd/9bSu19dvnIpeXBdMmlDBtYilTJ5YwfWIJ06rzK1qPqnLLJ0mStGdMhCVJ/S6bjfxq1NWlHNduc+SUEms3NLNsdRPL1jRSs6aJmtWNPLWsgdsf2EZLu3nIo6oyTJtYwvTq0kIvcglTJpQwYZ8SqirCnmRJktQtE2FJ0qAREUwYU8KEMSW8tN1q1gCNTYlV65ryyfGaRmpWN7FsdSP3PlbHzXdu7VC3oiyfaL9kVo4DZ5Yxd3opk8aWUFHuXGRJkjQEEuGIeANwGjARuDyldMvARiRJGgilJdt7kaGiw7EttS0sW93I6nVNrHmxmTUvNvPsigZuuXMrv/nTlrZ6o0dkmDSuhMnj8ts97Tu5lDlTc8yY5IrWkiQVkwFJhCPiKuB0YE1K6eB25acC3wSywPdSSl9JKf0a+HVEjAG+DpgIS5I6GFGR4SUzy3jJzLIO5c0tiedW5Ochr1rbxKr1+S2gnlrWwF8ebGpbsCubgX0nlTJ7Wn7rqHyiXMLMyaX2IkuSNAwNVI/w1cBlwDWtBRGRBS4HTgJqgHsi4vqU0qOFKp8sHJckqUeymWDOtBxzpuV2ONbckli+polnahp4Znkjz9Q08MCT9dx697a2OpmAmVNKmTO1lHGjs4wdnWV6dSmzp5Qyfh9XtJYkaagakEQ4pXR7RMzsVHwU8HRKaQlARFwLvD4iHgO+AtyUUrq/fyOVJA1X2UzkF9maVMrx87eXb6trYXVhP+SnljXw2HMNPPhUPS9ubqaxaXu9kZUZZk7JJ8WzppQye2qOmVNKGeGeyJIkDXqDaY7wVGBZu/c1wNHA+4ETgdERMTel9D9dnRwRZwNnA1RXV7No0aK+jVb9YsuWLX4vVfRsBwNn5giYeTBwMKQEtQ0ZXtiUY82GHGs25lj9Yo6bnsvR0LQ9+R1d2cjE0Q1MHN1AVXkzZSWJCaMbmDymnqw58l6xLUi2A6m3DKZEuKvxZSmldClw6a5OTildCVwJMH/+/LRgwYLejU4DYtGiRfi9VLGzHQxuKSVWr29myfIGnl3RyJIVjTy7vJE7n2ykud12T+VlwfSJJUwcU8K0iSXMnJKfjzxjUikVZWbIPWFbkGwHUm8ZTIlwDTC93ftpwIoBikWSpB6JCCYVFtc69tDt5c3Nidr6xJbaFp54voEHn6pjxdomlr/QxN2P1rYNs46gbWGumZPzw6xbE2RXspYkqW8MpkT4HmBeRMwClgNnAGcNbEiSJO2ZbDYYURmMqMxv2fSql1a2HWtuTixf25Rf0XplI8+uaOS5lY3cvbi2rRc5EzBlQiFBnlLKrEJyPGVCiT3IkiTtpYHaPumnwAJgfETUAJ9JKX0/Is4Fbia/fdJVKaXFAxGfJEl9KZsNZlSXMqO6FI7YXt7YlKhZ0zE5fm5lI399qJaWtL3elAklzJueY970UuZOyzFrSiljR2XJZu1BliSpJwZq1egzuylfCCzs53AkSRoUSkuCWVNyzJqSY8GR28sbGhPLVjfmH4Utn55c2sCf7t++1VMETBlfwtxCgpxPlHPsMzI7AJ9EkqTBbTANjZYkSV3IlXa9H/LmbS0sqWng+VWNrNvYzPOrGnny+foOCfKEfbJtyfGcaTmmTihh30ml9h5LkoqaibAkSUPUyMoMh+1XzmH7lXco37ythaeXNfBU62NpA3c+UksqDK+uqggOmVPG7Kk5JozJcvDsMmZNKSWTMTmWJBUHE2FJkoaZkZUZjti/nCP2354g19a18PyqRpa/0MTfn6hj8bMN3L14U9vc4/JcML26hDnTchx3aAUTx5YwdUIJleUuzCVJGn5MhCVJKgIV5RkOmFnGATPLePXLqgBobkm88GIzDz5Vx9M1+UW67niwlt/9bSuQX7l65uRSDpiVY/8ZOWZUl7LfvjlXrZYkDXkmwpIkFalspnUP5BGcUihrbEo89lw9Gza3sGR5A48918Cf/17LwjsKyXEG5kwt5cDZZcybluOlB5QzaZy/TkiShhZ/ckmSpDalJcGhc/NDqv/hiPzexyklVq9v5rmVjTz6bD2Ll9Rz851b+U39FiA/53j2lBwHzynjkDllHDSnjJGV9hpLkgYvE2FJkrRTEa09xyUcc3AFAC0tiZo1Tdz9aC3L1zTx5NIGfn7rJn56S/6caRNLmDstx9zppbx0/3LmTc+5UrUkadAwEZYkSbstkwlmTCplxqTStrK6hhYef66BR56p58mlDTz+fD2L7t8GbKS0BA6aXcb06lIOm1fGkQeUM3qEexxLkgaGibAkSeoV5bkMh+9XzuHttnPauKWZuxfX8dSyBh58qo7b7t3KDX/eQibggJk5Dtg3x9SJ+eR45mS3cJIk9Q8TYUmS1GdGj8hy0tFVnHT09pWqn3i+gbsX13L3o3X87s6tbKvL7+E0qirDIXPL2H9Gjnkzchw0u4wRFc41liT1PhNhSZLUb7KZ4MBZZRw4q4x3nZ4vW7WuiQefquOBJ+t55Jl67niwFoAADt8/nxgfNLuMhiZ7iyVJvcNEWJIkDai2LZyOGQHA1toWnlya7zW+7/E6fnHbZq79/WaymX35/aNrmDutlLnTcxy+XznjRjvPWJK0+0yEJUnSoFJVkeGI/cs5Yv/8XOPGpsTDz9Tzfzc9ybotZVy3qI7Gpnzd2VNLmf+Scg6ane9lNjGWJPWEibAkSRrUSkuCl+5fzqaV61mw4FCamhNLljdy/+N13PNYLb9atJmf37oZgMnjshx9cAXzX1LOzCk5Jo/LEuGQaklSRybCkiRpSCnJBvvNyLHfjBxnnDyKhsbE0zUNLF5Sz9+fqOOmv27l13/aAsDcaaUctl85xx1awf4zclSUu/iWJMlEWJIkDXG50u0LcL3l1aOob2jhqWWNPPZcPX95sJbr/riZX962mUwGDp9XxuH7lfPSA8rZf98cWbdrkqSiZCIsSZKGlbJchoPnlHHwnHxivLW2hQefquORJQ387eFarrphI1fdsJGSLBx3WCWHzCnjsHllzJ5a6jBqSSoSJsKSJGlYq6rIcOyhlRx7aCVnv2EfXtjQxENP1fO3h2t5ZEk9f7p/G1DYx3hOGScdXcXBc8oYO8qFtyRpuDIRliRJRWXCPiW8+mUlvPplVQCsXt/E/U/U8cjT9dy1uJY7HsrvYzx1QgmHzStjwZGVHLFfOdmsvcWSNFyYCEuSpKJWPbaE17x8BK95+QiamxMPPV3Pk0sbePiZen73t60s/OtW9hmR4aiDKjhkbhnHHFzB2FEZh1FL0hBmIixJklSQzUbbHsZvPQnqG1q4+9E6Ft23jXsereWWu7YCMG50lpcfUsErD6/gsHnl5EpNiiVpKDERliRJ6kZZLsMrD6/klYdXklJ+/+K7Ftfy14dqWfjXLdz4ly2UlsBBs/M9xcccUsH0iSX2FkvSIGciLEmS1AMRwZxpOeZMy3HWKaPZWtvCI0vquf/xOu57rI7/uW4D/3PdBqZOKOHogyt4+SEVvHT/MpNiSRqETIQlSZL2QFVFhqMPquDogyoAWLWuibseqeXPD2zjuj9u5ro/bmbMqAwHzixjv31znPryKibs469ekjQY+L+xJElSL5g0roTXv2okr3/VSOoaWvjT/du4e3EdDz5Vxx0P1fK/N2zk8HllHHdYBcccXMHUiaUDHbIkFS0TYUmSpF5WnstwyjEjOOWYEQA8v7KRX/9pM3cvruXyX2zg8l9sYPaUUo49rILjDq1gvxk5h1BLUj8a9IlwRFQBVwANwKKU0o8HOCRJkqTdsu/kUj54xlhSStSsaeKOh2q58+FafnTTJn500yYmjy9hwUsrOfKAcg6eU+Yq1JLUxwYkEY6Iq4DTgTUppYPblZ8KfBPIAt9LKX0F+CfgFymlGyLiZ4CJsCRJGpIigunVpZxxUilnnDSKF15s4rZ7t3HXI7X89JZN/PSWTZRk4bRXjODYQyo4fL9ySktMiiWptw1Uj/DVwGXANa0FEZEFLgdOAmqAeyLiemAa8HChWnP/hilJktR3Jowp4a0njeKtJ41ia20LDzxZx+/u3Mr1t2/hN3/aQlV5cNRBFRx3WAWvOKzSnmJJ6iWRUhqYG0fMBG5s7RGOiJcDF6aUTim8/89C1RrgxZTSjRFxbUrpjG6udzZwNkB1dfWR1157bV9/BPWDLVu2MGLEiIEOQxpQtgMpr5jaQmNTsGRNBU8ur+TJFZVsrS8hm0kcsu9m5k2uZd7krZRkBzpKDYRiagfSzhx//PH3pZTm7+n5g2mO8FRgWbv3NcDRwKXAZRFxGnBDdyenlK4ErgSYP39+WrBgQd9Fqn6zaNEi/F6q2NkOpLxibQvNLYk7H6nl93dt5d7HMjzw7ChGj8hw8OwyjjmkgmMPrWDMSLPiYlGs7UDqbYMpEe5qrE9KKW0F/qW/g5EkSRoMspnguEMrOe7QSuoaWrj/8Tp+f/c2/vzANu54qJZvXgvzX1LOyUdXccwhFZTnMgMdsiQNeoMpEa4Bprd7Pw1YMUCxSJIkDTrluQzHHlrJsYdWsmVbC0tXN3Lbvdv4zZ82c+cjdQAcf2QlZ5w8innTcwMcrSQNXoMpEb4HmBcRs4DlwBnAWQMbkiRJ0uA0ojLDgbPKOHBWGe990z7c9Ugtf3mwltv/vo0/3reNqRNKOGL/cl66fxmvPLySbNaFtiSp1UBtn/RTYAEwPiJqgM+klL4fEecCN5PfPumqlNLigYhPkiRpKMlmoq2n+Jw3jeHGv2zhjoe2cevdW7nxL1soLVnH6/5hJP9weAUHzS4jkzEpllTcBiQRTimd2U35QmBhP4cjSZI0bIyozHDGyaM44+RR1DW0cMeDtdz4ly388rbN/PK2zZSWwOv+YSQLXlrJgbNyRJgUSyo+g2lotCRJknpReS7Dq19WxatfVsXGLc3c9UgtN96xtS0pnjQuy8lHV/EPR1Qye6pziiUVDxNhSZKkIjB6RJaTjxnByceMYPO2Fq7742bufKSWaxZu4pqFm5heXcKCl1Zy0tFVTJtYOtDhSlKfMhGWJEkqMiMrM7zztNG887TRPLeykT//fRt3La7lhzdt4oc3beKYg8s59eUjePkhFZSWOHRa0vBjIixJklTEZk4uZebk0bz9H0ezbHUj1/95C9ffnt+OKZOBl72knOOPrGTBkVXkSk2KJQ0PJsKSJEkCYHp1Ke978xj+45/24d7H6vjd37by14e2cdfiOr718xd5+SEVHHVQBcccUsGIisxAhytJe8xEWJIkSR1kM8HRB1Vw9EEVNDYl7nyklutv38Kt92zj1nu2AXDkAeWc/cZ9mDfdRbYkDT0mwpIkSepWaUnwysMreeXhlWzc0szCv27lLw9s477H6/j3L69i/xk5jjqonFNePoIp4/3VUtLQ4P9WkiRJ6pHRI7KcefIozjx5FPc9XsdNf93CXY/U8sTSBn540yYm7JPlta8cwWtfOYLRI7IDHa4kdctEWJIkSbvtyAPKOfKAcgBu+usWrlm4kdXrm7nqho1cdcNGDp1bxvHzKzn1mCrKcs4nljS4mAhLkiRpr7zm2BG85tgRpJT43m828thz9TzwZD0PPV3PN699kVOOqeKdp41m0jh/9ZQ0OPi/kSRJknpFRPBvb9gHgJo1jXz31xv48wO13HznVm6+cyujqjKceFQV73n9aMrtJZY0gHaZCEfEL4GrgJtSSi19H5IkSZKGumkTS/ns2RNIKfHUskZu+PNmfnvHVq7742au++NmZk8p5dVHVXHGSSOJcH9iSf2rJ3+K+zZwFvBURHwlIg7o45gkSZI0TEQE+83I8aG3jeNX/z2VD71tLABLVuR7jE/+wDI+//21bNzSPMCRSiomu+wRTindCtwaEaOBM4HfR8Qy4LvAj1JKjX0coyRJkoaB0SOynHbcCE47bgSr1zfx3V9v4LZ7t/HH+/KPU46p4mUHlnP8kZX2EkvqUz2aIxwR44B/Bt4O/B34MfAK4J3Agr4KTpIkScNT9dgSPvmv4/nwP7dw3+N1/P6urW1zib9w1TqqKoIffXaK2zBJ6hM9mSN8HXAA8EPgtSmllYVDP4uIe/syOEmSJA1v5bkMxx1ayXGHVvL8ykY+cNFqNm9rYWtt4o0fXc6oqgzve/MYjj20gqoKF9iS1Dt60iP8vZTSwvYFEVGWUqpPKc3vo7gkSZJUZPadXMpvvj6N5ubEpT97kdvu28qmrS18+QfrADjm4HI+/LZxjB1tL7GkvdOTP6t9oYuyv/V2IJIkSRJANhucf9ZYbrhoOjdfOp0jDygH4M5H6njzfy7nhHOW8tNbNtHcnAY4UklDVbc9whExCZgKVETEEUDrigWjgMp+iE2SJElFrrQk+NoHJgKweEk9P/7dRu58pI7v/noD3/31BgC+9oGJbcmyJPXEzoZGnwK8C5gGXNyufDPwiT6MSZIkSdrBQbPL+NI5E9lS28LrPlTTVv6RS9cA8OG3jeXlh1YwZqRDpyXtXLeJcErpB8APIuJNKaVf9mNMkiRJUrdGVGS47YoZtLQkFv51Kxf/ZD0AX//x+vzeJsDH3jGWU44ZMYBRShrMdjY0+p9TSj8CZkbEBZ2Pp5Qu7uI0SZIkqV9kMsHprxjB6a8YQV1DCz+4cSM/u3UzAF+9Zj1fvSafIP/yq1PtJZbUwc6GRlcVnv1TmiRJkga18lyGf/+nMbzjtNHc+XAtP7xpE8+tbATgTR9bDsC/v3Ef3nTCSEqysbNLSSoCOxsa/Z3C82f7LxxJkiRpz1WUZTh+fhXHz6+ivqGF136ohqbm/LHv/GoD3/nVBk48qpIPnTWWspz7EkvFapetPyL+OyJGRURpRPwhItZGxD/3R3CSJEnSnirLZbjlWzO47YoZfPXcCW3lt969jdecV8MJ5yzlzw9sIyW3YZKKTU/+DHZySmkTcDpQA+wHfKRPo+okIt4QEd+NiN9ExMn9eW9JkiQNfS87sILbrpjBBWeNZcqE7YMiP3PlWk46dxlPPF9vQiwVkZ3NEW5VWnj+R+CnKaX1ET2fVxERV5FPoteklA5uV34q8E0gC3wvpfSV7q6RUvo18OuIGAN8HbilxwFIkiRJBa2La63f1MzCO7Zw1Q0baUnw3q+ubqtz+UerecnMsgGMUlJf60mP8A0R8TgwH/hDREwA6nbjHlcDp7YviIgscDnwGuBA4MyIODAiDomIGzs9JrY79ZOF8yRJkqQ9NnZUln9+zWhuu2IGn3nP+A7H3vffq3nrJ5Zz3+O78yuvpKFklz3CKaWPR8RXgU0ppeaI2Aq8vqc3SCndHhEzOxUfBTydUloCEBHXAq9PKX2ZfO9xB5Hvgv4KcFNK6f6e3luSJEnalVe9tJLbrpjByrVNvO3TKwB4YUMzH7l0DQCvOKyCC/9tPJmMq01Lw0X0ZC5ERBwLzKRd4pxSuqbHN8knwje2Do2OiDcDp6aU3lN4/3bg6JTSud2c/wHgncA9wAMppf/pos7ZwNkA1dXVR1577bU9DU+D2JYtWxgxwh28VNxsB1KebUH9paUFvnPLNF7YlNvh2FtfsYr9p2wbgKjybAdS3vHHH39fSmn+np6/yx7hiPghMAd4ACgsPk8CepwId3XZLsq6zchTSpcCl+7sgimlK4ErAebPn58WLFiwF+FpsFi0aBF+L1XsbAdSnm1B/emEE/LP3/7li/zfHza3lf/sL5MAOOuUUfzLa0eT7edeYtuB1Dt6sljWfODA1LvL6NUA09u9nwas6MXrS5IkSXvtvW8aw3vfNIbm5sRJ71/WVv6Tmzfxk5s3AXDNhZOZNK6EkqxDp6WhoieLZT0CTOrl+94DzIuIWRGRA84Aru/le0iSJEm9IpsNbrtiBjdePI0DZnYcMv2OC1dy8vuX8Z3rXqS5JbkNkzQE9KRHeDzwaETcDdS3FqaUXteTG0TET4EFwPiIqAE+k1L6fkScC9xMfvukq1JKi3c3eEmSJKk/VZZnuOKj+T6iG/+yhYt/sr7t2M9u3czPbt1MSRZ+9NkpTBzbk1+1JQ2EnrTOC/fmBimlM7spXwgs3JtrS5IkSQPl9FeM4LTjqnjhxWY+8q01LFvdBEBTM5zxyfysv//91GT2nVw6kGFK6kJPtk/6U0TsC8xLKd0aEZXke3ElSZKkohYRTBxbwg8+M4XHnq3nfV9b3eH4v3x+JQDvfdM+HH9kJeNGZ8nvDCppIO1yjnBE/BvwC+A7haKpwK/7MCZJkiRpyHnJrDJuu2IGt10xg9e8vKrDsW//cgP/7xMrePX7lvF/f9g0QBFKatWTxbLeBxwHbAJIKT0FTOzLoCRJkqSh7CNvH8dtV8zg/DPHUFHWsQf427/cwAnnLOXWu7cOUHSSepII16eUGlrfREQJO9nzV5IkSVLea185kt9eMp3ffH3aDgnxl65exwnnLOXqGzeQUqKlxV+xpf7Sk8Wy/hQRnwAqIuIk4Bzghr4NS5IkSRo+RlZm+O0l0wH41aLNfOvnL7Ydu2bhJq5ZmB8u/fUPTmS/6TlGVPakv0rSnupJIvxx4N3Aw8C/k1/p+Xt9GZQkSZI0XL1xwUgWHFnJF65ay9+fqO9w7MPfXAPAq19WyRH7lfPql1VSljMplnpbT1aNbgG+W3hIkiRJ2ktjRma56IPVNDQmHn6mnmt+u5GHn9meFP/hnm384Z5tfP3H6/nZF6cwYYx7Eku9qdsWFREPs5O5wCmlQ/skIkmSJKlI5EqDIw8o58gDygG4/e/buPC7azvUeet/5fck/tmXpvR7fNJwtbM/LZ1eeH5f4fmHhee3Adv6LCJJkiSpSP3DEZXcePE0Hn+ugQ9fuqbDsbd+YgUwm6bKrRxzSAUjKhwyLe2pbhPhlNLzABFxXErpuHaHPh4RdwCf6+vgJEmSpGJTWZ7hpQeUc9sVM9i8rYXXf7imw/EvXb0OgNISuOKjk5gzLTcQYUpDWk/+jFQVEa9ofRMRxwJVO6kvSZIkqReMrMxw2xUzuPWy6cycXNrhWGMT/NuXVnHCOUv5r2+/MEARSkNTT2bdvxu4KiJGk58zvBH41z6NSpIkSVKbTCa46lOTWbRoEfcsO4Sb/ra1w/G/PVzLCecsBeCWb02nJBtdXUZSQU9Wjb4POCwiRgGRUtrY92FJkiRJ6spH3j6Oc98yhoefqefjl+/YE3zy+5cB8LIDyzn/zLFMGueK01JnPW4VKaVNfRmIJEmSpJ6pKM9w1EEV3HbFDAD+eO9WPn/Vug517nm0jrM+tYKSLFxz4RQTYqkdl5qTJEmShrjj51dxy7emM3bUjr/eNzXDWZ9awRmfXM49j9YOQHTS4OOfhSRJkqRhoCQb/OIr0wA48dyltLR0PL5mfTMfu6zjUOoD9s1xxccm9VeI0qCxyx7hiHhLRIwsvP5kRFwXES/t+9AkSZIk7Ynff2s6t142nR9eOHmn9R5/voETzlnKA0/W0dKS+ik6aeD1ZGj0p1JKmwtbKJ0C/AD4dt+GJUmSJGlPRQSZTDB1Yim3XTGDSz9UzXGHVXRb/4JvrOHEc5exflNzP0YpDZyeDI1ubQ2nAd9OKf0mIi7su5AkSZIk9aaD55Rx8JwJNDcnGhoTp11Q02W9N398OQAVZcFnzx5PeS7DqKoMMyaVdllfGqp6kggvj4jvACcCX42IMlxkS5IkSRpystmgIhvcdsUMUkq872urefy5hh3q1dYnPvqt7fOJP/LPYznlmCoyGfcn1vDQk4T2/wE3A6emlDYAY4GP9GVQkiRJkvpWRHDFRyfxsy9Noapi5wnu1360nhPPXUZDY75HWRrqetIjPBn4bUqpPiIWAIcC1/RlUJIkSZL6x4R9Srjhouk0NSc2bWnhBws3csOft3RZ99QPLgPgkvMmMm9GjrJckLWXWENQT3qEfwk0R8Rc4PvALOAnfRqVJEmSpH5Vkg3Gjs5y/plj+cPl03nP60d3W/f8b6zh9AtqOOncZWzZ1tJtPWmw6kmPcEtKqSki/gn4RkrpWxHx974OTJIkSdLAiAjOOmU0B80u47kVjXzzZy92W/d1H96+8NapL6/igrPGUpK1l1iDW08S4caIOBN4B/DaQpnLxkmSJEnD3GHzyjlsXjkHzykjk4F3f2HVTuv/7m9bueXOrUydWMJVn5rssGkNWj0ZGv0vwMuBL6aUno2IWcCP+jYsSZIkSYPFnGk5Zk3J8YfLp/O/n5rMnGnd94u1JFi2uomTzl3Gye9fSmOTi2tp8Nllj3BK6VHgA+3ePwt8pS+D6iwiqoDbgc+klG7sz3tLkiRJyosI9p1cync/MZklyxsoL8vwz59e0W39pmY45QP5BbZ+f9l0splgxdomynPB2FHZ/gpb2sEuE+GImAd8GTgQKG8tTynN7sG5VwGnA2tSSge3Kz8V+CaQBb6XUtpVYv0x4Oe7up8kSZKk/jF7ag6AWy+bTn1j4rTza3Za/6Rzl3V4P2daKZecV01ZLigtcQi1+ldPhkb/L/BtoAk4nvzWST/s4fWvBk5tXxARWeBy4DXkk+szI+LAiDgkIm7s9JgYEScCjwKre3hPSZIkSf0kkwkqyjJ89uzxfPcTk3p83jM1jbzuwzW84SM1tLQkautdfVr9pyeLZVWklP4QEZFSeh64MCL+DHxmVyemlG6PiJmdio8Cnk4pLQGIiGuB16eUvky+97iDiDgeqCKfNNdGxMKUkq1EkiRJGkReeXglALddMQOA51Y28q+fX7nL82rrE2/8aA2btyWu/sxkZlSXUt/QwtqNzUyd4Bq96hs9SYTrIiIDPBUR5wLLgYl7cc+pQPtxETXA0d1VTin9F0BEvAtY210SHBFnA2cDVFdXs2jRor0IUYPFli1b/F6q6NkOpDzbgjT02sGn3gKba7N848Z9d1pv87b8glrv+uxKxo1sYN3m/LDr956yjAmjG/s8ThWfniTC5wGV5BfM+jxwAvDOvbhnVxMAdrmUXErp6l0cvxK4EmD+/PlpwYIFexKbBplFixbh91LFznYg5dkWpKHbDo44spHxo7P8322bufrGjTut25oEA3zvD9O54aLp5EqdQ6ze1ZNVo+8pvNxCfiulvVUDTG/3fhrQ/VJzkiRJkoa06dX5Ic7v+MfRvOMfR/PCi0389o4tXLNw007Pa2yCUz+4fTDpl947gUt/vp5V65opLYGbL53Rp3Fr+NrlYlkRMT8ifhUR90fEQ62PvbjnPcC8iJgVETngDOD6vbieJEmSpCFkwpgS3nX6Pkyv7skA1e0+8e0XWLWuGcgnyf/2pZVsq3P5IO2+nvzL+zHwEeBhYLf+lUXET4EFwPiIqCG/D/D3C3ONbya/fdJVKaXFuxW1JEmSpCHvB5+ZQkNjfsXoEZWZHbZY2pVnaho5/YIa/ufjk9hvRm7XJ0gFPUmEX0gp7VGPbUrpzG7KFwIL9+SakiRJkoaPXGmQK80CcN1XpxKRXzRr49ae98H9x1dWUVqS7yUeOyrDz780lbsX1zFmVIbZU3PuU6wd9CQR/kxEfA/4A1DfWphSuq7PopIkSZJUdPYZmU+If/W1aaSUWLykgY9fvoZtdbtcW5fGpvzz+k0tnNiuZzkCDtg3x1fPnUg2AxXlu5wdqiLQk0T4X4ADgFK2D41OgImwJEmSpD4RERw8p4wbLprGP55XQ33jrpPhrqQEjz3XwOs+XAPke4yv+tRkzv7SKvYZmeF/Pj65N8PWENGTRPiwlNIhfR6JJEmSJHUSEdz0ze2bzpx2/jJq6/csKYZ8j/EbPrIcgDUvNvPCi02MHZUlm90+fHpbXQunX1DD1Akl/PCzU/Y8eA1aPUmE74yIA1NKj/Z5NJIkSZK0EzdcNI3mFjjv4tU8sbSBlr1cNPqt/5XfyXX21FKC/NDXT79nPAAvbGjeu4tr0OpJIvwK4J0R8Sz5OcIBpJTSoX0amSRJkiR1kskEmQxc/tFJALzmvKXUN+z9dZcsb2x7/e9fXgXAxDFZautaqG9MbfOXNTz0JBE+tc+jkCRJkqQ9cNM3ZvCeL66kZk0jDY27rt8T9Q35odc1a5o47YKatvJrLpzMtImlvXMTDahdJsIppef7IxBJkiRJ2hPf+6/tC16d8oGlpARNfTCq+R0XrmTfSSX876en8MGLVvHksgamTyzlGxdUU1EWRLhN01DRkx5hSZIkSRoSbr50BgDv//oqFi/phTHTnTy/qolTP7i0rff56ZpGTr+ghsnjs/z4c1N7/X7qGybCkiRJkoadb304P4e4uSXx9s+sYNW63usi7moI9sq1zZx38SoefqaBshwsvGRGr91Pvc/dpCVJkiQNW9lM8JPP909P7UNPN5AS1NX3y+20F+wRliRJkjTsHTgrB8BlH5nE+Zes5sGn+jZbPeGcpZSXwZwpObJZ+MYFk/r0fto99ghLkiRJGvYu+8gkLvtIPhm95PxqDtg3R2kfdwvW1cPiZxtY637Eg449wpIkSZKKzhUfm0RtXQunXVBDSQnkSmDe9LI+6Sletb6ZD1y0ikzAkhWNbKtNHDK3jEvOr+71e6ln7BGWJEmSVJQqyjMcNq+Mg2aVcePFM7jk/Gr6YgeklhZ45JkGFi9pYMu2REuCB5+q54RzlvLosx0T7/MvWc35l6zu/SDUgT3CkiRJkopW517ZP1yeX+35xHOX0tLSu/dq7uJ6535tNRFQUQY3XjyDx5+rp74RlixvYPbUXO8GoDb2CEuSJElSJ/vPyCeh++9byi3fmt6n90oJttXlF9iqL2zN9J4vrurTexY7E2FJkiRJ6uTyj07isHlllOcylGSDw+aVcdi8Mm69rG+T4vbe9unlpJQ47+JVvPcrK/vtvsXAodGSJEmS1IX2w6bbv64sh9rC1N6U+u7+K9c2c+K5y9rusXJtE5PH51O49/33KrJZuPRDbsu0J0yEJUmSJGk33HjxjLbXJ5yztE/v1T7R/tfPr2B6dSnL1jRS35Av++BFq/jmhyZx3sX5odTuV9wzJsKSJEmStIeqyoOtdflstaoiv+T01tq+6Saub4Snaxo7lD38TAMnv38pTYWtik+7YCm1dfle6/YJuzpyjrAkSZIk7aFZU0opz8Fh88q44aLp3HDRdMaNzpArpU+2YupKaxIMUFuXf95WB+d8dSVnfHI5zc35xPy0C5Zy6gf7tgd7qLBHWJIkSZL2UDYb7L9vWYc5xNMmlgLw3++fyCkfWDZQobF0dRPb6hJ/frCWq67f0JYkP7uigVlTcrz/66vYVtdCVXmGVeub+fHnpvDRb60BdtxWargxEZYkSZKkPdRVwtha1tyyfYh0RN8urNWVbYUh25/73toO5e/54ioqy6NtCHc2C83N8O4vrGTthibmTt9x/+LzL1kNDJ8E2aHRkiRJktQHspngJTNzHDInxx8uHzzzdVPqOI+5uTC0umZNE3UN8MgzDbz6fduHUK/b2MyDT9Wzta6lv0PtM/YIS5IkSVIfyZV2P1G4rDS/ANZglBKcfsFSxo8uYdX6JgCeXdHI+ZesHha9wibCkiRJktRH2ieNE8dkWfNiM5kMVJQFc6fluPi8ifzj+cvIZvILXA0m2+pgaV1T2/vmZnhyaX3bMOmnltUzd1puSG7ZNOgT4YjIAJ8HRgH3ppR+MMAhSZIkSdJumzy+hK11LcydluuQIB+wbxmQTyy3FbY+GmxJcavaenjwqfq29w893cAJ5ywlk4FbLxs8w793pU/nCEfEVRGxJiIe6VR+akQ8ERFPR8THd3GZ1wNTgUagpq9ilSRJkqS+1jkJhnyv8SXnVxMRVFUEN148g9JB32XZUUvL9gW1hoK+/vJeDVwGXNNaEBFZ4HLgJPKJ7T0RcT2QBb7c6fx/BfYH/pZS+k5E/AL4Qx/HLEmSJEm9bldza2+4aHrb65fMzPF0TcOg7RnuyvIX8sOo268wPVhXm+7TRDildHtEzOxUfBTwdEppCUBEXAu8PqX0ZeD0zteIiBqgofC2ufPxdvXOBs4GqK6uZtGiRXsdvwbeli1b/F6q6NkOpDzbgmQ7KCYbN05mwkhY2ZSjoSk70OH0yNoNzfzLZ55g1YYck/ZpYNGix1ixeiol2cSiRY/xgz9OBuCdx6/s8HogDESH+1Sg/a7SNcDRO6l/HfCtiHglcHt3lVJKVwJXAsyfPz8tWLBg7yPVgFu0aBF+L1XsbAdSnm1Bsh0Uk9Zv8/mXrObhZ+ppKexclAlo6ef9iHdHReUoWl5s5IXNFXzhF7Pb4l6wYAG/+fvqwuv9ue7eVRD51wPRazwQiXBX64d3+61MKW0D3t134UiSJEnS4NQ6vPjpmgaamxOZQbi6dHuPP5/fD6qxqWP5+Zes5qGn66koC86/ZDWPLGkgm9mxDnQcUt2qfZLcG3ORByIRrgGmt3s/DVgxAHFIkiRJ0qDXPhkGqKrIL7oFHVdwHsxa49xWl9o+R3PL9mMlWThwVo4ttR37SFvrQu8uxtWnq0Z34x5gXkTMiogccAZw/QDEIUmSJElDwiXnVzN3Wo6503LccNH0tpWmqyryK03fdsXQ2bpoa7tk98RzlwLQ1AyPPdfAkuWN3PNobdvxxqZESx+MBe/THuGI+CmwABhfWPTqMyml70fEucDN5FeKviqltLgv45AkSZKkoa6rObStPcNDVescYtg+nPqyn7/I8rVNHY4BPPZcPQ2NkOmF7ty+XjX6zG7KFwIL+/LekiRJkjTc7WyBqSiszpQG8eJaXal5oWmHmF9z3lIa8tOPd0iQ98RADI2WJEmSJPWyg2fnmDQuy0tm5hgzKsPvvjmdQ+eWDXRYu62rxL2+YceyvWEiLEmSJEnDQDYbVI8tIVcazKgupbQk3yUc7fbtyWTgsHlDLznubSbCkiRJkjRMXXJ+NZXl+QW1DptXxiFzyvp1v97BaiC2T5IkSZIk9bP2CXAmoA8WYx4yTIQlSZIkaRhoTXR7st/uS2blqK1PjKzMDJm9iHuTibAkSZIkDSOdhz7fcNH0HeqUZIORlcEl51dz3sWreOjpXl6NapBzjrAkSZIkFbFvXDCpV/bmHUqK7ONKkiRJkjo7ZE4ZVRVBRRkEUFk+0BH1LYdGS5IkSZKYOy0HwNM1rcOkh+9qWibCkiRJklRkdrWF0txpOR56up5UyIUzGagoC7bWDo/k2KHRkiRJklTkLjm/eofkuLI8BiiavmciLEmSJElqM3daruOew4XeYIBcab4shniO7NBoSZIkSVKXWpPg1vnDTy2rZ7/pObLZGNL7D9sjLEmSJEnawdxpubYkuLWHOCLIZod4dzD2CEuSJEmSCna1iFb7eiecs7SPo+k7JsKSJEmSpB10ToovOb+a8y9Z3W39TAZaWvo6qt7h0GhJkiRJ0l6rKAuqKobGsGl7hCVJkiRJe+2Gi6YDcOK5S2lpGdw9xPYIS5IkSZJ6VSYDt142g8wgzTgHaViSJEmSpKGooiza9h2+9bIZAxxN1xwaLUmSJEnaYxFQnuv+eOu84W11iZT6KahdMBGWJEmSJPVIV9srRUAmMzQWyWrl0GhJkiRJUp+ZOy3H3Gk5YhDlyvYIS5IkSZL22CFzyjq8b109urOKsmBr7eAYG22PsCRJkiSpqAz6HuGImAFcBqwFnkwpfWWAQ5IkSZIk7YHOewsP1F7DfdojHBFXRcSaiHikU/mpEfFERDwdER/fxWX2A36bUvpX4MA+C1aSJEmS1OsuOb+aS86v5oaLpncYRp3J0LbNUn/r66HRVwOnti+IiCxwOfAa8ontmRFxYEQcEhE3dnpMBP4OnBERtwF/7ON4JUmSJEl9LJPJzy2eO20n+y71oT4dGp1Suj0iZnYqPgp4OqW0BCAirgVen1L6MnB652tExIeBzxSu9Qvgf/syZkmSJEnS8DYQc4SnAsvava8Bjt5J/d8BF0bEWcBz3VWKiLOBswGqq6tZtGjRXgeqgbdlyxa/lyp6tgMpz7Yg2Q402MwGYMOGDQAsWvTYLs/YsGEyUE5K28+D8k61uhoundqV7/3K0wORCHf3qbqUUnoEePOuLppSuhK4EmD+/PlpwYIFexqfBpFFixbh91LFznYg5dkWJNuBBpfP/XwpAPvssw8ACxbsv8tzfvP31Tz/Qj0R2897/oX6Htwtunm9ZwZi+6QaoP3GUtOAFQMQhyRJkiSpCA1EInwPMC8iZkVEDjgDuH4A4pAkSZIkFaG+3j7pp8DfgP0joiYi3p1SagLOBW4GHgN+nlJa3JdxSJIkSZLUqq9XjT6zm/KFwMK+vLckSZIkSV0ZiKHRkiRJkiQNGBNhSZIkSVJRMRGWJEmSJBUVE2FJkiRJUlExEZYkSZIkFRUTYUmSJElSUTERliRJkiQVFRNhSZIkSVJRMRGWJEmSJBUVE2FJkiRJUlExEZYkSZIkFRUTYUmSJElSUTERliRJkiQVFRNhSZIkSVJRMRGWJEmSJBUVE2FJkiRJUlExEZYkSZIkFRUTYUmSJElSUTERliRJkiQVFRNhSZIkSVJRMRGWJEmSJBUVE2FJkiRJUlExEZYkSZIkFRUTYUmSJElSUYmU0kDH0Osi4gXg+d08bTSwsQ/C6Yvr7+219uT83Tmnp3V7Um88sLaH9x3K+vrf3+4olrZgOxicBktbKJZ2sKfn2xb61mBpB1A8bcF2MDgNlrZQLO1gT88fqLawf0ppZA/vu6OUko/8HwOuHCrX39tr7cn5u3NOT+v2pB5w70D/2+iPR1//+xtMsQyWtmA7GJyPwdIWiqUd7On5toW+fQyWdtAfsQyWtmA7GJyPwdIWiqUd7On5Q7UtODR6uxuG0PX39lp7cv7unNPTun39NR9KBtPXoljagu1gcBosX49iaQd7er5toW8Npq9FsbQF28HgNFi+HsXSDvb0/CHZFobl0GgNHxFxb0pp/kDHIQ0k24GUZ1uQbAdSq71tC/YIa7C7cqADkAYB24GUZ1uQbAdSq71qC/YIS5IkSZKKij3CkiRJkqSiYiIsSZIkSSoqJsKSJEmSpKJiIqwhKyLeEBHfjYjfRMTJAx2PNBAiYnZEfD8ifjHQsUj9KSKqIuIHhZ8DbxvoeKSB4s8Bac/yAhNhDYiIuCoi1kTEI53KT42IJyLi6Yj4+M6ukVL6dUrp34B3AW/tw3ClPtFL7WBJSundfRup1D92s038E/CLws+B1/V7sFIf2p224M8BDVe72Q52Oy8wEdZAuRo4tX1BRGSBy4HXAAcCZ0bEgRFxSETc2Okxsd2pnyycJw01V9N77UAaDq6mh20CmAYsK1Rr7scYpf5wNT1vC9JwdTW73w56nBeU9E6M0u5JKd0eETM7FR8FPJ1SWgIQEdcCr08pfRk4vfM1IiKArwA3pZTu7+OQpV7XG+1AGk52p00ANeST4QfwD/saZnazLTzaz+FJ/WJ32kFEPMZu5gX+4NBgMpXtf92H/C85U3dS//3AicCbI+I/+jIwqR/tVjuIiHER8T/AERHxn30dnDQAumsT1wFviohvAzcMRGBSP+uyLfhzQEWmu58Ju50X2COswSS6KEvdVU4pXQpc2nfhSANid9vBOsA/BGk467JNpJS2Av/S38FIA6i7tuDPARWT7trBbucF9ghrMKkBprd7Pw1YMUCxSAPFdiB1ZJuQ8mwLUi+2AxNhDSb3APMiYlZE5IAzgOsHOCapv9kOpI5sE1KebUHqxXZgIqwBERE/Bf4G7B8RNRHx7pRSE3AucDPwGPDzlNLigYxT6ku2A6kj24SUZ1uQ+r4dRErdTj2TJEmSJGnYsUdYkiRJklRUTIQlSZIkSUXFRFiSJEmSVFRMhCVJkiRJRcVEWJIkSZJUVEyEJUmSJElFxURYkqQeiIgLI+LDhdefi4gTd1L3DRFxYP9F1+HeZRFxa0Q8EBFv7eN77RcRCyPi6Yh4LCJ+HhHVEbEgIlJEvLtd3SMKZR/uy5gkSeqJkoEOQJKkoSal9OldVHkDcCPwaN9Hs4MjgNKU0uGdD0RENqXU3Bs3iYhy4LfABSmlGwplxwMTClUeBt4KfL/w/gzgwd64tyRJe8seYUmSuhER/xURT0TErcD+7cqvjog3F15/JSIejYiHIuLrEXEs8Drga4Ve2TkR8W8RcU9EPBgRv4yIynbXuTQi/hoRS1qvWTj20Yh4uHDOVwplcyLidxFxX0T8OSIO6BTvROBHwOHt7v1cRHw6Iv4CvCUizixc95GI+Gq7c7dExFcL1741Io6KiEWFuF7XxZfnLOBvrUkwQErpjymlRwpvlwLlhR7iAE4Fbtrz74YkSb3HHmFJkroQEUeS78U8gvzPy/uB+zrVGQu8ETggpZQiYp+U0oaIuB64MaX0i0K9DSml7xZefwF4N/CtwmUmA68ADgCuB34REa8h36t8dEppW+E+AFcC/5FSeioijgauAE5ojSeltCYi3gN8OKV0euF+AHUppVdExBTgTuBI4EXgloh4Q0rp10AVsCil9LGI+BXwBeAk4EDgB4XY2ju489ejC78A3gL8vfD1q99FfUmS+oWJsCRJXXsl8KuU0jaAQnLb2SagDvheRPyW/HDorhxcSID3AUYAN7c79uuUUgvwaERUF8pOBP639d4ppfURMQI4Fvi/QnILUNbDz/KzwvPLyCe7LxQ+04+BfwB+DTQAvyvUexioTyk1RsTDwMwe3qeznxfufQDw00L8kiQNOIdGS5LUvbTTgyk1AUcBvyTfg/u7bqpeDZybUjoE+CxQ3u5Y+17SaPfc+d4ZYENK6fB2j5f05EMAWztdvyuNKaXWe7a0xlVI0rv6w/li8j3L3UoprQIayfcs/6GHsUqS1OdMhCVJ6trtwBsjoiIiRgKv7Vyh0Es7OqW0EDgPOLxwaDMwsl3VkcDKiCgF3taDe98C/Gu7ucRjU0qbgGcj4i2FsoiIw3bzM90FvCoixkdEFjgT+NNuXqPVT4BjI+K01oKIODUiDulU79PAx3prkS5JknqDibAkSV1IKd1PfljvA+R7fP/cRbWRwI0R8RD5hPL8Qvm1wEci4u8RMQf4FPkk9PfA4z249+/Iz8m9NyIeAFq3HHob8O6IeJB8j+zrd/MzrQT+E/gj+RWc708p/WZ3rtHuWrXA6cD7I+KpiHgUeBewplO9vxbmIEuSNGjE9lFQkiRJkiQNf/YIS5IkSZKKiomwJEmSJKmomAhLkiRJkoqKibAkSZIkqaiYCEuSJEmSioqJsCRJkiSpqJgIS5IkSZKKiomwJEmSJKmo/H9dCpn9bVOJxQAAAABJRU5ErkJggg==\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "distance, mass_density, error_md = density_profiling(relative_1[\"dist\"], relative_1[\"m\"] )\n", + "\n", + "plt.figure(figsize=[16,10])\n", + "\n", + "plt.subplot(211)\n", + "plt.title(\"Mass density profile\")\n", + "plt.errorbar(distance, mass_density, error_md, color=colors[0])\n", + "plt.xscale(\"log\")\n", + "plt.yscale(\"log\")\n", + "plt.xlabel(\"distance from CM\")\n", + "plt.ylabel(\"mass density\")\n", + "plt.xlim(right=10**2)\n", + "plt.grid(True)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "As observed, mass density tends to flatten near the origin, decreasing significantly with increasing distance. In fact, the motion for any particle near the centre of mass can be decomposed into a central component and a random component. This is due to the fact that with increased density, collisions between particles become more prevalent than the usual gravitational component about the centre of mass. When under a certain distance from it, any particle will find the central force acting on it perturbed by neighbouring particles' own gravitational effects. Naturally, as density decreases and each particle has more space to move undisturbed, the central force gains relevance again. In this vein, we consider setting a threshold distance for which the density becomes essentially uniform, at $0.1$ units away from the centre of mass.\n", + "\n", + "This could be interpreted as the threshold at which random motion starts to dominate over the global gravitation motion." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## IMBH candidate" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The presence of a large number of low mass particles can suggest to identify them with low mass stars. Considering that the range of mass for stars has a lower and an upper bound which is wider than the range considered in this simulation, it is probable that the lightest particle in the simulation is a low mass star and the heaviest particle is a big star or a stellar mass black hole.\n", + "\n", + "### Redefinition of our task\n", + "\n", + "This is a problem since our task is to study the motion of a IMBH, which probably is not present in this cluster. In fact, if the most massive particle is a IMBH, then all the other particles should be very massive stars, which is not plausible for any globular cluster.\n", + "\n", + "In any case, we may study the motion of our most massive particles. However, the most massive particles are ejected at some point during the simulation, as seen in the likelihood histogram.\n", + "\n", + "Moreover, some particles which do not meet the ejection criteria to be eliminated still end up far away from the system, presenting an unbound trajectory, and thus end up having no effect in the dynamics of the N-body system.\n", + "\n", + "These aspects make it sensible to focus on ***the kinematics of the most massive particles that survive in the core of the clusters until the end of each simulation***.\n", + "\n", + "### Studying the trajectories of the most massive particles\n", + "\n", + "We choose the most massive particle remaining in the simulation as the \"IMBH candidate\" to be studied. The most massive particles in the initial snapshots, as we have previously observed, end up getting ejected over the course of the simulation. We observed that in the first simulation the two most massive particles remaining are \"almost ejected\", in the sense that they where kicked into very high orbits which permanence time is of the order of the duration of the simulation. For this reason we chose, for the first simulation only, to study the third most massive remaining particle.\n", + "\n", + "\n", + "First, we identify our IMBH cadidates. Then, we study their motion with respect to the center of mass." + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [], + "source": [ + "def find_largest_mass(simulation, order=1):\n", + " t = get_times(simulation).max()\n", + " subdata = simulation.loc[t][[\"m\"]]\n", + " subdata.drop_duplicates(inplace=True)\n", + " subdata.sort_values(\"m\", ascending=False, inplace=True)\n", + " return take_these_particles(simulation, subdata.index[order-1])\n", + "\n", + "BH_candidate_1 = find_largest_mass(simulation_1, 3) # takes the third most massive particle\n", + "BH_candidate_2 = find_largest_mass(simulation_2) # takes the most massive particle" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Following the line of reasoning previously exposed, our IMBH candidates of choice end up being, in both simulations, particle 44.\n", + "\n", + "We study the candidate's relative motion with respect to the cluster centre of mass. In order to do that, we compute the relative position vectors, velocities and the absolute distances from the centre of mass evolving over time." + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [], + "source": [ + "rel_bh1 = BH_candidate_1.droplevel('idx')[['x','y','z','vx','vy','vz']] - COM_1 # compute relative properties\n", + "rel_bh1[ ['m','idx','t'] ] = BH_candidate_1.droplevel('idx')[['m','idx','t']] # add missing features\n", + "rel_bh1['distance'] = ((rel_bh1[['x','y','z']]**2).sum(axis=1)).transform(np.sqrt) # add absolute distance from cm for convenience\n", "\n", - "### Description\n", + "rel_bh2 = BH_candidate_2.droplevel('idx')[['x','y','z','vx','vy','vz']] - COM_2 # compute relative properties\n", + "rel_bh2[ ['m','idx','t'] ] = BH_candidate_2.droplevel('idx')[['m','idx','t']] # add missing features\n", + "rel_bh2['distance'] = ((rel_bh2[['x','y','z']]**2).sum(axis=1)).transform(np.sqrt) # add absolute distance from cm for convenience" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "And plot the relative motion of the BH candidates:" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig_bh_trajectory, axs = subplots3d(1, 2, figsize=(15,6))\n", + "sns.axes_style(\"whitegrid\")\n", + "fig_bh_trajectory.suptitle('Black hole motion relative to COM')\n", + "for i in axs:\n", + " i.set_xlabel('x')\n", + " i.set_ylabel('y')\n", + " i.set_zlabel('z')\n", "\n", - "Intermediate-mass black holes (IMBHs), i.e. black holes with mass 100 - 10'000 Msun, are expected to form in massive star clusters via several dynamical processes, but they are extremely difficult to detect with current observational facilities (even with gravitational wave detectors). \n", + "axs[0].set_title('Simulation 1')\n", + "axs[0].plot(rel_bh1['x'], rel_bh1['y'], rel_bh1['z'], marker='.', alpha=0.3, color=colors[0])\n", "\n", + "axs[1].set_title('Simulation 2')\n", + "axs[1].plot(rel_bh2['x'], rel_bh2['y'], rel_bh2['z'], marker='.', alpha=0.3, color=colors[1])\n", "\n", - "### Assignemnt\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can observe that, as it should, BH candidates spends most of their time close to the CM of the system.\n", "\n", - "In this project, the students will analyze the data of N-body simulations of star clusters hosting IMBHs to estimate the distance of the IMBH from the center of mass of the star cluster. The distribution of such distances probes the effect of Brownian motion and/or other dynamical perturbations on IMBHs.\n", + "In simulation 1, we can observe the particle in higher orbits, caused by collisions within the central cluster. However, after some time, the particle drops back towards orbits closer to the center of mass, losing energy in the process, likely transferring it to other particles in the system by means of collisions as it travels through the denser areas of the system.\n", "\n", - "### Datasets\n", + "This behaviour can better be observed by plotting the overall distance from CM as a function of time." + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, axs = plt.subplots(2, 1, sharex=True, figsize=[14,8])\n", "\n", - "The relevant data can be found in the directory `/data/IMBH_wobble/` on your VM. \n", + "axs[0].set_title(\"Simulation 1\")\n", + "axs[0].plot(rel_bh1[\"t\"],rel_bh1[\"distance\"], color=colors[0])\n", + "axs[0].set_ylabel(\"distance from CM\")\n", + "axs[0].grid(True)\n", "\n", - "Verbatim instructions from Prof. Mapelli:\n", + "axs[1].set_title(\"Simulation 2\")\n", + "axs[1].plot(rel_bh2[\"t\"],rel_bh2[\"distance\"], color=colors[1])\n", + "axs[1].set_xlabel(\"time\")\n", + "axs[1].set_ylabel(\"distance from CM\")\n", + "axs[1].grid(True)\n", "\n", - "```\n", - "Inside this folder there are 16 subfolders corresponding to 16 simulations.\n", - "The names are interpreted as follows: bh100w08 has a black hole 100 times more massive than the typical star, etc...\n", - "Each one of these folders contains snapshots (saves of the simulation at different evolutionary times),\n", - "called e.g. c_0000.dat, c_0100.dat, ... Each file has at the beginning two lines commented with the character '#',\n", - "indicating the meaning of each column and the age of the snapshot.\n", - "The students task will be to locate in each simulation the black hole of intermediate mass, if present\n", - "(it is the most massive particle), determine the x,y,z components of the distance from the centre of mass\n", - "of the simulation (which also has to be calculated), graphing its temporal evolution and the distribution over\n", - "all times for a given simulation - e.g. by plotting a histogram, measuring the standard deviation, skewness and kurtosis\n", - "(within each simulation). Discuss the statistical significance of the results and any strategies to improve it.\n", - "```\n", + "plt.subplots_adjust(hspace=0.2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In simulation 1, the particle stays close to the CM until around time $=1700$, when it gets dramatically knocked off course. It then orbits around the CM for some time, losing energy as it does, which we see as a reduction in the orbitting height. Eventually, it loses enough energy to return to its initial state, staying in close proximity of the CM.\n", + "In simulation 2, the particle is bound to the CM, remaining in close proximity at all times. Some collisions knock it momentarily into slightly higher orbits. \n", "\n", - "the simulations have been produced by means of the [NBODY6](https://www.ast.cam.ac.uk/~sverre/web/pages/nbody.htm) simulation code.\n", + "This behaviour is consistent with the process of ejection of particles from the cluster.\n", "\n", - "### Contacts\n", + "The ejection phenomena can be seen as a limiting case of a jump to higher orbits, when a particle acquires enough energy to overcome the escape velocity. In our dataset, this happens due to high energy collisions, such as the one which makes the largest particle that remains in simulation 1, on track to escape." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Statistical properties of IMBH candidates motion" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, axs = plt.subplots(1,2, figsize=(12,5))\n", + "distances = [rel_bh1[\"distance\"], rel_bh2[\"distance\"]]\n", + "for i,ax in enumerate(axs):\n", + " distances[i].hist(bins=np.logspace(np.log10(distances[i].min()), np.log10(distances[i].max()), 20), color=colors[i], ax=ax)\n", + " ax.set_title(\"Simulation \"+str(i+1))\n", + " ax.set_xlabel(\"Distance from CM\")\n", + " ax.set_ylabel(\"Counts\")\n", + " ax.set_xscale(\"log\")\n", + "fig.tight_layout()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can observe in the distribution of distances from CM of the first simulation displays a bimodal shape. The shape of the distribution aroun the first peack (centered in 0.1) can be observed to be very much alike the distribution of the particle in the second simulation. This congruence signifies that the general motion of the particle around the CM in bot simulation has the same statistics, aside from occasional jumps. The \"jump\" state is represented in the first histogram by the second peak, in which are regrouped all the higher orbit positions. Since there are non significant jumps in the second simulation, this second peack is not present there.\n", "\n", - "* Michela Mapelli \n", - "* Mario Pasquato " + "### Filtering black hole data" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 39, "metadata": {}, "outputs": [], - "source": [] + "source": [ + "filtered_bh1 = rel_bh1[rel_bh1['distance'] < 3]\n", + "filtered_bh2 = rel_bh2[rel_bh2['distance'] < 3]\n", + "\n", + "coords = ['x', 'y', 'z']\n", + "directions = ['vx', 'vy', 'vz']\n", + "\n", + "bh1_stats_posf = pd.DataFrame({'Std. dev': filtered_bh1[coords].std(), 'Skewness' : filtered_bh1[coords].skew(), 'Kurtosis' : filtered_bh1[coords].kurt()})\n", + "bh2_stats_posf = pd.DataFrame({'Std. dev': filtered_bh2[coords].std(), 'Skewness' : filtered_bh2[coords].skew(), 'Kurtosis' : filtered_bh2[coords].kurt()})\n", + "\n", + "bh1_stats_velf = pd.DataFrame({'Std. dev': filtered_bh1[directions].std(), 'Skewness' : filtered_bh1[directions].skew(), 'Kurtosis' : filtered_bh1[directions].kurt()})\n", + "bh2_stats_velf = pd.DataFrame({'Std. dev': filtered_bh2[directions].std(), 'Skewness' : filtered_bh2[directions].skew(), 'Kurtosis' : filtered_bh2[directions].kurt()})" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Upon applying the cut-off, the positions seem consistent between simulations, as shown by the similar measures of spread. Most of the motion close to the center of mass occurs within one unit of distance. Skewness varies slightly between directions, but its values are consistent with a mostly symmetric distribution. The larger values of kurtosis in the first simulation are likely due to the wider overall distance to the center of mass as the particle performs larger orbits." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Truncated position data" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, axs = plt.subplots(2,3, figsize = (15,8))\n", + "axs = axs.flatten()\n", + "fig.suptitle('Position distributions for truncated black hole data')\n", + "\n", + "axs[0].hist(filtered_bh1['x'][filtered_bh1['x'].abs() < 1], bins = 25, color=colors[0])\n", + "axs[0].set_xlabel('$x$')\n", + "axs[0].text(x = -.8, y = 60.5, s = '$\\sigma = {:.3f}$; \\t skew $= {:.3f}$; \\t kurt $= {:.3f}$'.format(*[bh1_stats_posf.loc['x'][i] for i in bh1_stats_posf.columns]))\n", + "\n", + "axs[1].hist(filtered_bh1['y'][filtered_bh1['y'].abs() < 1], bins = 25, color=colors[0])\n", + "axs[1].set_xlabel('$y$')\n", + "axs[1].text(x = -.65, y = 68, s = '$\\sigma = {:.3f}$; \\t skew $= {:.3f}$; \\t kurt $= {:.3f}$'.format(*[bh1_stats_posf.loc['y'][i] for i in bh1_stats_posf.columns]))\n", + "\n", + "axs[2].hist(filtered_bh1['z'][filtered_bh1['z'].abs() < 1], bins = 25, color=colors[0])\n", + "axs[2].set_xlabel('$z$')\n", + "axs[2].text(x = -.75, y = 67, s = '$\\sigma = {:.3f}$; \\t skew $= {:.3f}$; \\t kurt $= {:.3f}$'.format(*[bh1_stats_posf.loc['z'][i] for i in bh1_stats_posf.columns]))\n", + "\n", + "axs[3].hist(filtered_bh2['x'][filtered_bh2['x'].abs() < 1], bins = 30, color=colors[1])\n", + "axs[3].set_xlabel('$x$')\n", + "axs[3].text(x = -.9, y = 137, s = '$\\sigma = {:.3f}$; \\t skew $= {:.3f}$; \\t kurt $= {:.3f}$'.format(*[bh2_stats_posf.loc['x'][i] for i in bh2_stats_posf.columns]))\n", + "\n", + "axs[4].hist(filtered_bh2['y'][filtered_bh2['y'].abs() < 1], bins = 30, color=colors[1])\n", + "axs[4].set_xlabel('$y$')\n", + "axs[4].text(x = -.8, y = 106, s = '$\\sigma = {:.3f}$; \\t skew $= {:.3f}$; \\t kurt $= {:.3f}$'.format(*[bh2_stats_posf.loc['y'][i] for i in bh2_stats_posf.columns]))\n", + "\n", + "axs[5].hist(filtered_bh2['z'][filtered_bh2['z'].abs() < 1], bins = 30, color=colors[1])\n", + "axs[5].set_xlabel('$z$')\n", + "axs[5].text(x = -.85, y = 101, s = '$\\sigma = {:.3f}$; \\t skew $= {:.3f}$; \\t kurt $= {:.3f}$'.format(*[bh2_stats_posf.loc['z'][i] for i in bh2_stats_posf.columns]))\n", + "\n", + "fig.tight_layout(pad=1.0)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Upon applying the cut-off, the positions seem consistent between simulations, as shown by the similar measures of spread. Most of the motion close to the center of mass occurs within one unit of distance. Skewness varies slightly between directions, but its values are consistent with a mostly symmetric distribution. The larger values of kurtosis in the first simulation are likely due to the wider overall distance to the center of mass as the particle performs larger orbits." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Complete velocity data" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, axs = plt.subplots(2,3, figsize = (15,8))\n", + "axs = axs.flatten()\n", + "fig.suptitle('Velocity distributions for black hole data')\n", + "\n", + "axs[0].hist(rel_bh1['vx'], bins = 20, color=colors[0])\n", + "axs[0].set_xlabel('$v_{x}$')\n", + "axs[0].text(x = -.9, y = 54.3, s = '$\\sigma = {:.3f}$; \\t skew $= {:.3f}$; \\t kurt $= {:.3f}$'.format(*[bh1_stats_velf.loc['vx'][i] for i in bh1_stats_velf.columns]))\n", + "\n", + "axs[1].hist(rel_bh1['vy'], bins = 25, color=colors[0])\n", + "axs[1].set_xlabel('$v_{y}$')\n", + "axs[1].text(x = -1.05, y = 67, s = '$\\sigma = {:.3f}$; \\t skew $= {:.3f}$; \\t kurt $= {:.3f}$'.format(*[bh1_stats_velf.loc['vy'][i] for i in bh1_stats_velf.columns]))\n", + "\n", + "axs[2].hist(rel_bh1['vz'], bins = 25, color=colors[0])\n", + "axs[2].set_xlabel('$v_{z}$')\n", + "axs[2].text(x = -1.5, y = 123, s = '$\\sigma = {:.3f}$; \\t skew $= {:.3f}$; \\t kurt $= {:.3f}$'.format(*[bh1_stats_velf.loc['vz'][i] for i in bh2_stats_velf.columns]))\n", + "\n", + "axs[3].hist(rel_bh2['vx'], bins = 15, color=colors[1])\n", + "axs[3].set_xlabel('$v_{x}$')\n", + "axs[3].text(x = -1.3, y = 99, s = '$\\sigma = {:.3f}$; \\t skew $= {:.3f}$; \\t kurt $= {:.3f}$'.format(*[bh2_stats_velf.loc['vx'][i] for i in bh2_stats_velf.columns]))\n", + "\n", + "axs[4].hist(rel_bh2['vy'], bins = 15, color=colors[1])\n", + "axs[4].set_xlabel('$v_{y}$')\n", + "axs[4].text(x = -.82, y = 70, s = '$\\sigma = {:.3f}$; \\t skew $= {:.3f}$; \\t kurt $= {:.3f}$'.format(*[bh2_stats_velf.loc['vy'][i] for i in bh2_stats_velf.columns]))\n", + "\n", + "axs[5].hist(rel_bh2['vz'], bins = 15, color=colors[1])\n", + "axs[5].set_xlabel('$v_{z}$')\n", + "axs[5].text(x = -.75, y = 67, s = '$\\sigma = {:.3f}$; \\t skew $= {:.3f}$; \\t kurt $= {:.3f}$'.format(*[bh2_stats_velf.loc['vz'][i] for i in bh2_stats_velf.columns]))\n", + "\n", + "fig.tight_layout(pad=1.0)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The histograms of the velocities in simulation 2 are almost symmetric. This behaviour is consistent with a random-walk like motion, which is visible in the 3D trajectory plot.\n", + "\n", + "Conversely, for simulation 1 we observe an asymmetric bimodal distribution. The peak centred around $0$ is compatible with the shape of the histograms in simulation 2 (the expected behaviour for random motion), while the other narrow peaks must be further discussed.\n", + "These can be explained by considering the orientation of the different orbital planes described by the particle.\n", + "\n", + "An elliptical orbit would have a symmetric distribution of the velocities measured along the direction of the semi-major axis. However, the central body's location at one of the foci would in fact cause an asymmetry in the velocities measured in the direction of the semi-minor axis, as a consequence of conserved angular momentum. As is visible in the trajectory plot, most orbits' semi-major axes are parallel with the $x-y$-plane. This is reflected in the symmetry of the distributions in the $x$-direction, which is stronger than that along $y$. In any case, both of these are a significantly more symmetric than the distribution in the $z$-direction. \n", + "\n", + "Not only that, but in the case of elliptical orbits, along the minor axis direction, a distribution with two asymmetric peaks would be expected, one positive and one negative. In the region of the perihelion the component of the velocity is high but there are just few counts, while in the region of the aphelion the component is low but there are many counts. However, because the perihelion lies inside the particle cluster, it is unlikely that any body would orbit without major precession caused by perturbations due to collisions occurring within the cluster. The significant effect of scattering would be behind the missing lower and farther peak of the distribution of the velocities." + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "display(fig_bh_trajectory)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Conclusions" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We will summarise which steps were taken, and from them what results it is possible to draw. \n", + "\n", + "Initially, in order to get an understanding of the data, we plotted some sample snapshots to visualise the initial and final conditions. We then looked at the general trends, such as the total number of particles and the total mass. Plots of the evolution of the two show that the mass decreases faster than the particle number. From this simple graph we draw the logical conclusion that the particles which are ejected from the dataset are, on average, more massive than those which remain. This was explored further, and a plot showing the probability of ejection based on mass demonstrates that it was more probable that particles of higher mass would be ejected. Additionally, there were some anomolies in the dataset which could not be explained by physical phenomena and the dataset had to be fixed regarding these issues.\n", + "\n", + "From there, we move on to the centre of mass, calculating it for each timestamp and plotting it's motion relative to the origin, in order to have some visual understanding of the data in the simulations. It, unexpectedly, displayed non-inertial motion. It displayed non-inertial motion due to recoil resulting from the ejection of some of the particles. We computed the centre of mass only on the core particles, in order to avoid the disproportional influence of the farthest particles.\n", + "\n", + "We than enquired into the general properties of the relative position and velocities of the particles with respect to the COM. The relative behaviour of the particles in the simulation was found to be highly symmetric. Position and velocities where found to have very different distributions, the position distribution exibit lorenzian-like tails, while the velocity idistribution exibits gaussian-like tails. The mass density profiles where also analized, and a gas-like behaviour was inferred to take place within a range of roughly 0.1.\n", + "\n", + "Moving to our search for an IMBH, several consideration led us to the conclusion that we have **no intermediate** massive black holes in our simulations, if anything we tracked some stellar mass black holes. Out of the two simulations, we studied the two most massive particles which survived inside the cluster until the end of the simulation. In both cases, we ended up studying Particle 44, which is the most massive particle that shows interesting behaviour.\n", + "\n", + "We compared the histograms corresponding to the distributions of position and velocity in both simulations. For simulation 2 the distributions are consistent with a mostly random motion. On the contrary, for simulation 1, we could observe a mixed behaviour: when the particle lays inside the core of the cluster, an almost random motion is performed, while when the particles is thrown into large orbits the gravitational effect dominates.\n", + "\n", + "To conclude, the analysis of these datasets has provided no evidence of the existence of an IMBH in any of the simulations. Still, we analysed the behaviour of the system and especially of the most massive particles, and we obtained that the motion of the particles is the superposition of two effects: the random motion due to the gravitational scattering among particles and the gravitational attraction towards the centre of the system.\n", + "\n", + "Some points to consider for future investigations:\n", + "\n", + "1. An IMBH in the dataset.\n", + "2. Properly define the turning point where the random behaviour dominates over the central gravitational attraction. Eventually, define a force field which models both these components, quantitatively." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Bibliography\n", + "\n", + "- **[1]** [\"An intermediate-mass black hole in the centre of the globular cluster 47 Tucanae\"](https://www.nature.com/articles/nature21361) \n", + "Bülent Kızıltan, Holger Baumgardt, Abraham Loeb\n", + "\n", + "\n", + "- **[2]** [\"An intermediate-mass black hole of over 500 solar masses in the galaxy ESO 243-49\"](https://www.nature.com/articles/nature08083) \n", + "Sean A. Farrell, Natalie A. Webb, Didier Barret, Olivier Godet, Joana M. Rodrigues\n", + "\n", + "\n", + "- **[3]** [\"Revealing the intermediate-mass black hole at the heart of the dwarf galaxy NGC 404 with sub-parsec resolution ALMA observations\"](https://arxiv.org/abs/2007.05536) \n", + "Timothy A. Davis, Dieu D. Nguyen, Anil C. Seth, Jenny E. Greene, Kristina Nyland, Aaron J. Barth, Martin Bureau, Michele Cappellari, Mark den Brok, Satoru Iguchi, Federico Lelli, Lijie Liu, Nadine Neumayer, Eve V. North, Kyoko Onishi, Marc Sarzi, Mark D. Smith, Thomas G. Williams\n", + "\n", + "\n", + "- **[4]** [\"Do intermediate-mass black holes exist?\"](https://cordis.europa.eu/project/id/647208/it) \n", + "Research project financed by CORDIS\n", + "\n", + "\n", + "- **[5]** [\"Detectability of intermediate-mass black holes in multiband gravitational wave astronomy\"](https://www.nature.com/articles/s41550-019-0932-7) \n", + "Karan Jani, Deirdre Shoemaker, Curt Cutler\n", + "\n", + "\n", + "- **[6]** [\"Searching for intermediate-mass black holes in galaxies with low-luminosity AGN: a multiple-method approach\"](https://www.aanda.org/articles/aa/abs/2017/05/aa30061-16/aa30061-16.html) \n", + "Filippos Koliopanos, Bogdan C. Ciambur, Alister W. Graham, Natalie A. Webb, Mickael Coriat, Burçin Mutlu-Pakdil, Benjamin L. Davis, Olivier Godet, Didier Barret, Marc S. Seigar\n", + "\n", + "\n", + "- **[7]** [\"An upper limit to the masses of stars\"](https://arxiv.org/abs/astro-ph/0503193) \n", + "Donald F. Figer\n", + "\n", + "\n", + "- **[8]** [\"Intermediate-mass Black Holes in the Universe: A Review of Formation Theories and Observational Constraints\"]() \n", + "Roeland P. van der Marel" + ] } ], "metadata": { @@ -66,9 +2646,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.5.4" + "version": "3.8.5" } }, "nbformat": 4, - "nbformat_minor": 2 + "nbformat_minor": 4 } diff --git a/ProjectAssignment.ipynb b/ProjectAssignment.ipynb new file mode 100644 index 0000000..3a44eb5 --- /dev/null +++ b/ProjectAssignment.ipynb @@ -0,0 +1,74 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# The motion of intermediate-mass black holes\n", + "\n", + "### Description\n", + "\n", + "Intermediate-mass black holes (IMBHs), i.e. black holes with mass 100 - 10'000 Msun, are expected to form in massive star clusters via several dynamical processes, but they are extremely difficult to detect with current observational facilities (even with gravitational wave detectors). \n", + "\n", + "\n", + "### Assignemnt\n", + "\n", + "In this project, the students will analyze the data of N-body simulations of star clusters hosting IMBHs to estimate the distance of the IMBH from the center of mass of the star cluster. The distribution of such distances probes the effect of Brownian motion and/or other dynamical perturbations on IMBHs.\n", + "\n", + "### Datasets\n", + "\n", + "The relevant data can be found in the directory `/data/IMBH_wobble/` on your VM. \n", + "\n", + "Verbatim instructions from Prof. Mapelli:\n", + "\n", + "```\n", + "Inside this folder there are 16 subfolders corresponding to 16 simulations.\n", + "The names are interpreted as follows: bh100w08 has a black hole 100 times more massive than the typical star, etc...\n", + "Each one of these folders contains snapshots (saves of the simulation at different evolutionary times),\n", + "called e.g. c_0000.dat, c_0100.dat, ... Each file has at the beginning two lines commented with the character '#',\n", + "indicating the meaning of each column and the age of the snapshot.\n", + "The students task will be to locate in each simulation the black hole of intermediate mass, if present\n", + "(it is the most massive particle), determine the x,y,z components of the distance from the centre of mass\n", + "of the simulation (which also has to be calculated), graphing its temporal evolution and the distribution over\n", + "all times for a given simulation - e.g. by plotting a histogram, measuring the standard deviation, skewness and kurtosis\n", + "(within each simulation). Discuss the statistical significance of the results and any strategies to improve it.\n", + "```\n", + "\n", + "the simulations have been produced by means of the [NBODY6](https://www.ast.cam.ac.uk/~sverre/web/pages/nbody.htm) simulation code.\n", + "\n", + "### Contacts\n", + "\n", + "* Michela Mapelli \n", + "* Mario Pasquato " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.5.4" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/useful.py b/useful.py new file mode 100644 index 0000000..c2af786 --- /dev/null +++ b/useful.py @@ -0,0 +1,473 @@ +import numpy as np +import pandas as pd +import seaborn as sns +import matplotlib.pyplot as plt +import gc +import os +from time import time as read_time +from scipy.stats import kurtosis, skew +from mpl_toolkits.mplot3d import Axes3D +from ipywidgets import widgets, Layout +from IPython.display import display, display_html, HTML +from matplotlib.ticker import FormatStrFormatter + + +### INPUT: n° rows and cols of the subplots grid +### the kwargs that must be forwarded to plt.figure +### OUTPUT: the figure, the list of its axis +### AIM: create an interface equal to plt.subplots() but for 3D plots +def subplots3d(rows=1, cols=1, **figkwargs): + fig = plt.figure(**figkwargs) + idx = 1 + for i in range(rows): + for j in range(cols): + fig.add_subplot(rows, cols, idx, projection="3d") + idx = idx + 1 + return fig, fig.get_axes() + + +### INPUT: the string with the path to the snapshot file to be loaded +### OUTPUT: the tuple (t, L, data), where: +### "t" is the time of the snapshot +### "L" is the list of the labels corresponding to the columns of the numpy array +### "data" is the numpy array containing the quantities in the snapshot +### AIM: it is used by "simulation_to_pandas" +### can be used to load single files when needed +def loadfile(filename): + with open(filename, "r") as file: + first_line = file.readline() + time = float(first_line.split()[-1]) + particles_data = np.loadtxt(file) + labels = ["x", "y", "z", "vx", "vy", "vz", "m", "idx"] + return time, labels, particles_data + + +### INPUT: the list of strings of paths to snapshot files to be inserted in the same DataFrame +### OUTPUT: the DataFrame of the simulation in the form: +### x y z vx vy vz m idx t +### t1 idx1 +### idx2 +### ... +### t2 idx1 +### idx2 +### ... +### ... +### AIM: it is used to load several files, like the whole simulation +### it can be used also to load only some files +def simulation_to_pandas(filelist): + labels = ["x", "y", "z", "vx", "vy", "vz", "m", "idx", "t"] + types = [float, float, float, float, float, float, float, int, int] + dataset = pd.DataFrame(columns=labels) + print("Loading database") + for i,filename in enumerate(filelist): + print(str(100*i//len(filelist))+"%", end="\r", flush=True) + t, _, data = loadfile(filename) + t = np.full(data.shape[0], t).astype(int).reshape((data.shape[0], 1)) + values = np.hstack((data, t)) + dataset = dataset.append(pd.DataFrame(values, columns=labels)) + print("Loading complete\n") + dataset.set_index(["t", "idx"], drop=False, inplace=True) + return dataset + + +### INPUT: the whole DataFrame and the number of random particles wanted in the sliced DataFrame +### OUTPUT: the sliced DataFrame +### AIM: after a simulation is loaded, take a slice of "N" random particles at every time +def take_random_particles(simulation, N): + # prepare the sub-dataset + subdata = simulation.set_index(["t", "idx"], drop=False) + # ensure to take only surviving particles + final_time = subdata["t"].to_numpy().max() + survived_particles = subdata.loc[final_time]["idx"].to_numpy() + # select N at random + selected_particles = np.sort(np.random.choice(survived_particles, size=N, replace=False)) + subdata = subdata.loc(axis=0)[pd.IndexSlice[:,selected_particles]] + # clean unused memory + gc.collect() + return subdata +### Inverse version +def drop_random_particles(simulation, N): + # prepare the sub-dataset + subdata = simulation.set_index(["t", "idx"], drop=False) + # ensure to drop among all the particles + initial_time = subdata["t"].to_numpy().min() + all_particles = subdata.loc[initial_time]["idx"].to_numpy() + # drop N at random + dropping_particles = np.sort(np.random.choice(all_particles, size=N, replace=False)) + subdata.drop(index=dropping_particles, level="idx", inplace=True) + # clean unused memory + gc.collect() + return subdata + + +### INPUT: the whole DataFrame and the list of particles wanted in the sliced DataFrame +### OUTPUT: the sliced DataFrame +### AIM: after a simulation is loaded, take a slice of some specified particles at every time +def take_these_particles(simulation, particles_idx): + # prepare the sub-dataset + subdata = simulation.set_index(["t", "idx"], drop=False) + # select the particles + subdata = subdata.loc(axis=0)[pd.IndexSlice[:,particles_idx]] + # clean unused memory + gc.collect() + return subdata +### Inverse version +def drop_these_particles(simulation, particles_idx): + # prepare the sub-dataset + subdata = simulation.set_index(["t", "idx"], drop=False) + # drop the particles + subdata.drop(index=particles_idx, level="idx", inplace=True) + return subdata + + +### INPUT: the whole DataFrame and the number of time-steps wanted in the sliced DataFrame +### OUTPUT: the sliced DataFrame +### AIM: after a simulation is loaded, take a slice of "N" random time-steps for every particle +def take_random_times(simulation, N): + # prepare the sub-dataset + subdata = simulation.set_index(["t", "idx"], drop=False) + # select the times + all_times = np.unique(simulation["t"].to_numpy()) + selected_times = np.sort(np.random.choice(all_times, size=N, replace=False)) + # reduce the dataset + subdata = simulation.loc[selected_times] + # restore the dataset + subdata.set_index(["t", "idx"], drop=False, inplace=True) + # clean unused memory + gc.collect() + return subdata +### Inverse version +def drop_random_times(simulation, N): + # prepare the sub-dataset + subdata = simulation.set_index(["t", "idx"], drop=False) + # drop the times + all_times = np.unique(simulation["t"].to_numpy()) + dropping_times = np.sort(np.random.choice(all_times, size=N, replace=False)) + subdata.drop(index=dropping_times, level="t", inplace=True) + # clean unused memory + gc.collect() + return subdata + + +### INPUT: the whole DataFrame and the time-steps wanted in the sliced DataFrame +### OUTPUT: the sliced DataFrame +### AIM: after a simulation is loaded, take a slice of some specified time-steps for every particle +def take_these_times(simulation, times): + # prepare the sub-dataset + subdata = simulation.set_index(["t", "idx"], drop=False) + # reduce the dataset + subdata = subdata.loc[times] + # restore the dataset + subdata.set_index(["t", "idx"], drop=False, inplace=True) + # clean unused memory + gc.collect() + return subdata +### Inverse version +def drop_these_times(simulation, times): + # prepare the sub-dataset + subdata = simulation.set_index(["t", "idx"], drop=False) + # drop the times + subdata.drop(index=times, level="t", inplace=True) + # clean unused memory + gc.collect() + return subdata + + +### INPUT: the DataFrame to extract times from +### OUTPUT: the numpy array of the times +### AIM: method to simplify the syntax +def get_times(simulation): + return np.unique(simulation["t"].to_numpy()) +### INPUT: the DataFrame to extract particle indices from +### OUTPUT: the numpy array of the particle indices +### AIM: method to simplify the syntax +def get_idx(simulation): + return np.unique(simulation["idx"].to_numpy()) + + +### INPUT: the snapshot to use to calculate the COM +### OUTPUT: the pd.DataFrame containing the position of the COM +### AIM: to be used alone or in other functions +def centre_of_mass(snapshot): + array = snapshot.to_numpy() + masses = array[:,6] + coordx = array[:,0] * masses + coordy = array[:,1] * masses + coordz = array[:,2] * masses + # dividing into + terms and - terms + xpos, xneg = coordx[coordx >= 0], coordx[coordx < 0] + ypos, yneg = coordy[coordy >= 0], coordy[coordy < 0] + zpos, zneg = coordz[coordz >= 0], coordz[coordz < 0] + # sorting to have smaller terms at the beginning of the sum + def absolute_sorting(array): + order = np.argsort(np.abs(array)) + return array[order] + masses = np.sort(masses) + xpos, xneg = absolute_sorting(xpos), absolute_sorting(xneg) + ypos, yneg = absolute_sorting(ypos), absolute_sorting(yneg) + zpos, zneg = absolute_sorting(zpos), absolute_sorting(zneg) + # totals + tot_mass = np.sum(masses) + x_CM = (np.sum(xpos) + np.sum(xneg)) / tot_mass + y_CM = (np.sum(ypos) + np.sum(yneg)) / tot_mass + z_CM = (np.sum(zpos) + np.sum(zneg)) / tot_mass + # position of COM + COM = np.array([[x_CM, y_CM, z_CM]]) + return pd.DataFrame(COM, index=pd.Index(get_times(snapshot), name="t"), columns=["x", "y", "z"]) + + +### INPUT: the snapshot and the COM to compute the distance between +### OUTPUT: the numpy array of the distances +### AIM: compute the distance between some particles and the COM +def distance_from_COM(snapshot, COM_pos): + array = snapshot.to_numpy()[:,0:3] + COM_pos = COM_pos.to_numpy().flatten() + COM_pos = np.array((COM_pos,) * array.shape[0]) + distances = array - COM_pos + return np.linalg.norm(distances, axis=1) + + +### INPUT: +### OUTPUT: +### AIM: +def smallest_values(distances, threshold=0.9): + distances = distances + ordered_distances = np.sort(distances) + max_dist = ordered_distances[int(threshold * distances.size)] + filtered_distances = np.where(ordered_distances <= max_dist, ordered_distances, -1) + to_keep = np.isin(distances, filtered_distances) + return to_keep + + +### INPUT: the snapshot to compute the COM on +### the accuracy wanted for the position of the COM +### OUTPUT: the pd.Series of the positions of the COM +### the sub-snapshot on which the last COM is computed +### AIM: this function is for showing consistency of this method +### the funcion COM_over_core must be preferred for the results +def iterative_COM_core(snapshot, threshold=0.9, accuracy=1e-10, N=50): + COMs = np.full((1, 3), centre_of_mass(snapshot).to_numpy()) + for i in range(1, N): + distances = distance_from_COM(snapshot, pd.DataFrame(COMs[i-1])) + mask = smallest_values(distances, threshold) + COMs = np.vstack((COMs, centre_of_mass(snapshot[mask]).to_numpy())) + if np.linalg.norm(COMs[i] - COMs[i-1]) < accuracy: + break + return COMs, snapshot[mask] + + +### INPUT: same arguments to be forwarded to iterative_COM_core +### OUTPUT: the final (best) COM pos found by iterative_COM_core +### AIM: to simplify the usage of the code +def COM_over_core(*args): + COM, _ = iterative_COM_core(*args) + return COM[-1,:] + + +### INPUT: the simulation and the number of most massive particles +### OUTPUT: the dataframe of the N most massive particles, with index "idx" and column "m" +### AIM: simplify the function call +def find_largest_mass(simulation, order=1): + t = get_times(simulation).max() + subdata = simulation.loc[t][["m"]] + subdata.drop_duplicates(inplace=True) + subdata.sort_values("m", ascending=False, inplace=True) + return take_these_particles(simulation, subdata.index[order-1]) + + +### INPUT: the subdataset (can include more than one particle) and the title +### OUTPUT: None +### AIM: simplify the plotting of a 3D trajectory +def path_plot3D(subdata, ax, title=""): + particles = subdata["idx"].unique() + ax.set_xlabel('x') + ax.set_ylabel('y') + ax.set_zlabel('z') + ax.set_title(title) + trajectory = None + for particle in particles: + trajectory = subdata.loc(axis=0)[:,particle] + ax.plot(trajectory['x'], trajectory['y'], trajectory['z'], linestyle=':', label="Particle "+str(int(particle))) + ax.legend() + del trajectory + gc.collect() + return + + +### INPUT: the whole simulation +### OUTPUT: the numpy array of the indices of the vanished particles +### AIM: simplify the syntax +def get_vanishing_particles(whole_simulation): + all_particles = pd.unique(whole_simulation["idx"]) + survived_particles = whole_simulation.loc[whole_simulation["t"].max(), "idx"].to_numpy() + vanished_particles = all_particles[np.isin(all_particles, survived_particles, invert=True)].astype(np.int32) + del all_particles, survived_particles + gc.collect() + return vanished_particles + + +### INPUT: simulation or subdata +### OUTPUT: boolean ensuring that every mass is constant along all the timestamps +### AIM: just show what we have proven +def check_for_merges(simulation): + constant_mass = np.empty(simulation["idx"].unique().size) + for idx,trajectory in simulation.groupby(level=1): + constant_mass[idx] = 1 == trajectory["m"].unique().size + every_mass_constant = np.all(constant_mass) + return not every_mass_constant + + +### INPUT: the snapshot and the COM to compute the distance between +### OUTPUT: the numpy array of the distances +### AIM: compute the distance between some particles and the COM +def relative_position(snapshot, COM_pos): + array = snapshot.to_numpy()[:,0:3] + COM_pos = COM_pos.flatten() + COM_pos = np.array((COM_pos,) * array.shape[0]) + return pd.DataFrame(array - COM_pos, index=snapshot.index, columns=["Dx", "Dy", "Dz"]) + + +def display_grids(df1,df2,caption1="First simulation",caption2="Second simulation"): + # create output widgets + widget1 = widgets.Output() + widget2 = widgets.Output() + # render in output widgets + with widget1: + display(df1.style.set_caption(caption1)) + #df1.info() + with widget2: + display(df2.style.set_caption(caption2)) + #df1.info() + # add some CSS styles to distribute free space + box_layout = Layout(display='flex', flex_flow='row', justify_content='space-around', width='auto') + # create Horizontal Box container + hbox = widgets.HBox([widget1, widget2], layout=box_layout) + # render hbox + display_html(hbox) + return + + +def find_missing_time(dataset,timestamps): + groupby_index = dataset[["t"]].groupby("idx") # extract list of times associated to each particle + group_operation = lambda group : group.max()-timestamps[len(group)-1] # difference between timestamps value and expected time given the number of stamps + missing_time = groupby_index.agg(group_operation) # agg applies function to each group + missing_time = missing_time[missing_time["t"]!=0] # filters for existing discrepancies + return missing_time.rename(columns={"t":"missing_time"}) + + +def COM_pos_vel(snapshot): + array = snapshot.to_numpy() + masses = array[:,6] + array = (array[:,0:6] * masses[:,None]) + COM = np.sum(array, axis=0) / np.sum(masses) + return pd.DataFrame([COM], index=pd.Index(get_times(snapshot), name="t"), columns=["x", "y", "z", "vx", "vy", "vz"]) + + +def compute_COM(simulation, threshold=0.9, accuracy=1e-10, N=50): + times = get_times(simulation) + COM = pd.DataFrame(index=pd.Index(times, name="t"), columns=["x", "y", "z", "vx", "vy", "vz"]) + for i,t in enumerate(times): + print("Processing: "+str(100*i//times.size+1)+"%", end="\r", flush=True) + snapshot = simulation.loc[t] + former_COM = COM_pos_vel(snapshot) + for j in range(1, N): + distances = distance_from_COM(snapshot, former_COM[["x","y","z"]]) + mask = smallest_values(distances, threshold) + new_COM = COM_pos_vel(snapshot[mask]) + if np.linalg.norm(new_COM - former_COM) < accuracy: + break + former_COM = new_COM + COM.loc[t] = new_COM.loc[t] + return COM + + +def display_side_by_side(*args): + html_str = '' + for df in args: + html_str+=df.to_html(max_rows=10) + display_html(html_str.replace('table','table style="display:inline"'), raw=True) + + +def trajectory(dataset,Idx,labels=True): + if (labels==True) : + return dataset.loc(axis=0)[pd.IndexSlice[:,Idx]] + else : + return dataset.loc(axis=0)[pd.IndexSlice[:,Idx]][labels] + + + +def plot_time_differences(axsa,axsb,dataset,timestamps,problematic_particles,increasing_m_times,increasing_n_times): + for i in problematic_particles: + dataset_time_sequence = dataset["t"].loc(axis=0)[pd.IndexSlice[:,i]].to_numpy() # takes time sequence of anomalous particles + standard_time_sequence = timestamps[:len(dataset_time_sequence)] + Nstamps = len(dataset_time_sequence) + axsa.plot(timestamps[:Nstamps],dataset_time_sequence) # plots dataset time sequence over standard time sequence + axsb.plot(timestamps[:Nstamps],dataset_time_sequence-timestamps[:Nstamps]) # plots difference of dataset time sequence from standard time sequence + axsa.plot(timestamps[:-1],timestamps[1:],linestyle="--",color="turquoise") # off by one line + axsb.plot(timestamps[:-1],timestamps[1:]-timestamps[:-1],linestyle="--",color="turquoise") # off by one line (meaningful part) + axsa.plot(increasing_m_times,np.zeros_like(increasing_m_times),"b*",markersize=8) # plotting the points with anomalous mass/number behaviour + axsa.plot(increasing_n_times,np.zeros_like(increasing_n_times),"b*",markersize=8) + axsb.plot(increasing_m_times,np.zeros_like(increasing_m_times),"b*",markersize=8) # plotting the points with anomalous mass/number behaviour + axsb.plot(increasing_n_times,np.zeros_like(increasing_n_times),"b*",markersize=8) + axsa.grid(True) + axsb.grid(True) + axsa.set_xlabel("standard time prograssion") + axsb.set_xlabel("standard time prograssion") + axsa.set_ylabel("time") + axsb.set_ylabel("time difference") + axsa.legend(list(problematic_particles)+["'one missing' line","mass or number increase"]) + axsb.legend(list(problematic_particles)+["'one missing' line","mass or number increase"]) + return None + + +def compute_missing_times(dataset,simulation_time_sequence,problematic_particles,increasing_m_times,increasing_n_times): + missing_time_stamps = [] + for i in problematic_particles: + particle_time_sequence = dataset["t"].loc(axis=0)[pd.IndexSlice[:,i]].to_numpy() # takes time sequence of anomalous particles + Nstamps = len(particle_time_sequence) # number of time frames existing for a givenn particle + # extracting missing times + mask = np.convolve( simulation_time_sequence[1:Nstamps+1]-particle_time_sequence ,np.array([-1,1]) ,mode="same") > 0 # registers the position at which the two series collapse into one + missing_time_stamps = missing_time_stamps + list(simulation_time_sequence[:Nstamps][mask]) # extracts time value of missing time stamp + return missing_time_stamps + + +def missing_frames(dataset,problematic_particles,missing_times): + T_change = 1900 # time at which the sampling frequency changes + dt = [ 10 if (t