{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Subhalo parameters\n",
"This uses the output of the `parameterize-all.py` script, which itself analyzes the particle distribution in the selected halos' HDF5 files."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"from pylab import *\n",
"import matplotlib\n",
"matplotlib.rcParams['figure.dpi'] = 120\n",
"import os, scipy.interpolate\n",
"from IPython.core.display import display, HTML"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"NOTE: using the default file name. Custom halo number could be set through the COSMORELAY_HALO_NUM environment variable."
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"data_path = './results'\n",
"defualt_file_name = 'subhalo_411321_parameters.dat'\n",
"if 'COSMORELAY_HALO_NUM' in os.environ:\n",
" file_name = 'subhalo_%s_parameters.dat' % os.environ['COSMORELAY_HALO_NUM']\n",
"else:\n",
" display(HTML('NOTE: using the default file name. Custom halo number could be set through the COSMORELAY_HALO_NUM environment variable.'))\n",
" file_name = defualt_file_name\n",
"file_name = os.path.join(data_path, file_name)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"data = loadtxt(file_name)\n",
"snapshot = data[:,0]\n",
"t = data[:,1]\n",
"X_center_stars = data[:,2:5]\n",
"phi_inertia = data[:,5]\n",
"theta_inertia = data[:,6]\n",
"phi_L = data[:,7]\n",
"theta_L = data[:,8]\n",
"M_disk = data[:,9]\n",
"a_mn = data[:,10]\n",
"b_mn = data[:,11]\n",
"X_center_halo = data[:,12:15]\n",
"M_halo_plummer = data[:,15]\n",
"b_halo_plummer = data[:,16]\n",
"rho_0_nfw = data[:,17]\n",
"b_nfw = data[:,18]\n",
"lsq_nfw = data[:,19]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Halo and disk comparison\n",
"This compares the mass of the halo (i.e. total mass of dark matter and gas particles) with the mass of the disk (i.e. total mass of star particles)."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Halo is on average x52 more massive than the disk\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"semilogy(t, M_disk)\n",
"semilogy(t, M_halo_plummer)\n",
"xlabel('$t$ [Gyr]')\n",
"ylabel('$M\\ [\\mathrm{M}_\\odot]$')\n",
"legend(('disk', 'halo'))\n",
"print(f'Halo is on average x{mean(M_halo_plummer/M_disk):.0f} more massive than the disk')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Shift between the halo and disk density centres"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Maximum distance between stellar and halo centres is 0.76 kpc\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"distance = linalg.norm(X_center_stars - X_center_halo, axis=1)\n",
"plot(t, distance)\n",
"xlabel('$t$ [Gyr]')\n",
"ylabel(r'$|\\Delta \\mathbf{r}|$ [kpc]')\n",
"print(f'Maximum distance between stellar and halo centres is {distance.max():.2f} kpc')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Disk length scales"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, '$b/a$')"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"axes([0.05,0.33,0.9,0.9])\n",
"plot(t, a_mn)\n",
"plot(t, b_mn)\n",
"legend(('disk $a$', 'disk $b$'))\n",
"ylabel('length [kpc]')\n",
"ylim(0, 2.5)\n",
"gca().set_xticklabels([])\n",
"axes([0.05,0.0,0.9,0.3])\n",
"plot(t, b_mn/a_mn, '--', c='C2')\n",
"ylim(0,4)\n",
"xlabel('$t$ [Gyr]')\n",
"ylabel('$b/a$')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Orientation of the disk\n",
"This plots the disk's orientation (direction of its minor axis) according to quadrupole tensor and angular momentum analyses."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"figsize = rcParams['figure.figsize']\n",
"figure(figsize=[figsize[0], figsize[1]*4/3])\n",
"subplot(211)\n",
"plot(t, rad2deg(phi_inertia))\n",
"plot(t, rad2deg(phi_L))\n",
"ylabel(r'$\\phi$ [deg]')\n",
"ylim(-180,180)\n",
"gca().set_xticklabels([])\n",
"gca().yaxis.set_ticks([-180,-90,0,90,180])\n",
"subplot(212)\n",
"plot(t, rad2deg(theta_inertia))\n",
"plot(t, rad2deg(theta_L))\n",
"xlabel(r'$t$ [Gyr]')\n",
"ylabel(r'$\\theta$ [deg]')\n",
"gca().yaxis.set_ticks([0,45,90,135,180])\n",
"ylim(0,180)\n",
"legend(('Inertia', 'Angular momentum'))\n",
"subplots_adjust(hspace=0.075)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Avoiding discontinuity in $\\phi$\n",
"Since $\\phi$ has a range of between –180° to +180°, it could have unphysical jumps in the time curve when rolling over. Here we attempt to fix it."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, '$\\\\phi$ [deg]')"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"def fix_continuity(input_array, threshold_factor=0.8):\n",
" arr = input_array.copy()\n",
" threshold = threshold_factor*2*pi\n",
" for i in range(1, len(arr)):\n",
" if arr[i] - arr[i-1] > threshold: arr[i] -= 2*pi\n",
" if arr[i] - arr[i-1] < -threshold: arr[i] += 2*pi\n",
" return arr\n",
"phi_inertia_fixed = fix_continuity(phi_inertia)\n",
"plot(t, rad2deg(phi_inertia_fixed))\n",
"xlabel(r'$t$ [Gyr]')\n",
"ylabel(r'$\\phi$ [deg]')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## NFW parameter\n",
"Plotting the two NFW parameters $\\rho_0$ and $b$. The bottom graph is the sum of squares divided by number of data points (indicates goodness of fit)."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"figsize = rcParams['figure.figsize']\n",
"figure(figsize=[figsize[0], figsize[1]*4/3])\n",
"subplot(311)\n",
"plot(t, rho_0_nfw)\n",
"ylim(bottom=0)\n",
"ylabel(r'$\\rho_0$ [$\\mathrm{M}_\\odot/\\mathrm{kpc}^3$]')\n",
"gca().set_xticklabels([])\n",
"subplot(312)\n",
"plot(t, b_nfw)\n",
"ylim(bottom=0)\n",
"ylabel(r'$b$ [kpc]')\n",
"gca().set_xticklabels([])\n",
"subplot(313)\n",
"plot(t, lsq_nfw)\n",
"ylabel(r'$s$ [$\\mathrm{kpc}^2$]')\n",
"ylim(bottom=0)\n",
"xlabel(r'$t$ [Gyr]')\n",
"subplots_adjust(hspace=0.075)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"output_file_name = file_name[:-4] + '_processed.dat'\n",
"with open(output_file_name, 'w') as f:\n",
" for i in range(len(snapshot)):\n",
" output_string = '%d %.8E %15.8E %15.8E %.8E %.8E %.8E %.8E %.8E\\n' % (\n",
" snapshot[i],\n",
" t[i],\n",
" phi_inertia_fixed[i], theta_inertia[i],\n",
" M_disk[i], a_mn[i], b_mn[i],\n",
" rho_0_nfw[i], b_nfw[i],\n",
" )\n",
" f.write(output_string)"
]
}
],
"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": "3.7.2"
}
},
"nbformat": 4,
"nbformat_minor": 2
}