{
 "cells": [
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Gamma-ray energy deposition\n",
    "\n",
    "This notebook provides the initial implementation of Gamma-ray energy deposition into an arbitrary ejecta.\n",
    "It is a WORK IN PROGRESS and should NOT be used for any science work until further notice."
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Main loop\n",
    "\n",
    "Generates a simple 1D ejecta and a list of gamma-ray objects.\n",
    "\n",
    "Runs packets of gamma-rays through the ejecta. Handles interactions by calling the appropriate function. \n",
    "\n",
    "Adds deposited energy and output energy to 2 different dataframes."
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Model setup"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "from tardis.model import SimulationState\n",
    "from tardis.io.config_reader import Configuration\n",
    "\n",
    "from tardis.plasma.properties import Density, Abundance, IsotopeAbundance, IsotopeNumberDensity, AtomicData, AtomicMass, IsotopeMass, NumberDensity, SelectedAtoms\n",
    "from tardis.plasma.base import BasePlasma\n",
    "from tardis.io.atom_data import AtomData\n",
    "\n",
    "import astropy.units as u\n",
    "from tardis.energy_input.gamma_ray_transport import main_gamma_ray_loop\n",
    "\n",
    "# Adjust model \n",
    "config = Configuration.from_yaml(\"../../../../tardis/io/tests/data/tardis_configv1_density_exponential_nebular.yml\")\n",
    "config.model.structure.velocity.start = 1 * u.km / u.s\n",
    "config.model.structure.density.rho_0 = 5e2 * u.g / (u.cm ** 3)\n",
    "config.supernova.time_explosion = 2.0 * u.d\n",
    "\n",
    "config.atom_data = \"kurucz_cd23_chianti_H_He.h5\"\n",
    "\n",
    "model = SimulationState.from_config(config)\n",
    "\n",
    "# Construct plasma\n",
    "input = [Density, Abundance, IsotopeAbundance, AtomicData, AtomicMass, IsotopeNumberDensity, NumberDensity, SelectedAtoms, IsotopeMass]\n",
    "\n",
    "plasma = BasePlasma(\n",
    "        plasma_properties=input,\n",
    "        density = model.density,\n",
    "        abundance = model.abundance,\n",
    "        isotope_abundance = model.raw_isotope_abundance,\n",
    "        atomic_data = AtomData.from_hdf(config.atom_data)\n",
    "    )\n",
    "\n",
    "# Set up packet count\n",
    "num_packets = 500000\n",
    "\n",
    "# Lock seed\n",
    "np.random.seed(1)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Generate plasma"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "from tardis.plasma.properties import Density, Abundance, IsotopeAbundance, IsotopeNumberDensity, AtomicData, AtomicMass, IsotopeMass, NumberDensity, SelectedAtoms\n",
    "from tardis.plasma.base import BasePlasma\n",
    "from tardis.io.atom_data import AtomData\n",
    "\n",
    "input = [Density, Abundance, IsotopeAbundance, AtomicData, AtomicMass, IsotopeNumberDensity, NumberDensity, SelectedAtoms, IsotopeMass]\n",
    "\n",
    "plasma = BasePlasma(\n",
    "        plasma_properties=input,\n",
    "        density = model.density,\n",
    "        abundance = model.abundance,\n",
    "        isotope_abundance = model.raw_isotope_abundance,\n",
    "        atomic_data = AtomData.from_hdf(config.atom_data)\n",
    "    )\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total gamma-ray energy\n",
      "6.389259861704378e+49\n",
      "Total positron energy\n",
      "8.454621397870039e+47\n",
      "Total packets: 500000\n",
      "Energy per packet 7.975724746893494e+52\n",
      "Initializing packets\n",
      "Total positron energy from packets\n",
      "8.417997803471385e+47\n",
      "Total CMF energy\n",
      "3.7264874091697995e+58\n",
      "Total RF energy\n",
      "3.7279788130927574e+58\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/afullard/tardis/tardis/energy_input/gamma_packet_loop.py:129: NumbaPerformanceWarning: \u001b[1m\u001b[1m\u001b[1mnp.dot() is faster on contiguous arrays, called on (array(float64, 1d, A), array(float64, 1d, C))\u001b[0m\u001b[0m\u001b[0m\n",
      "  doppler_factor = doppler_factor_3d(\n",
      "/home/afullard/tardis/tardis/energy_input/gamma_packet_loop.py:197: NumbaPerformanceWarning: \u001b[1m\u001b[1m\u001b[1m\u001b[1mnp.dot() is faster on contiguous arrays, called on (array(float64, 1d, C), array(float64, 1d, A))\u001b[0m\u001b[0m\u001b[0m\u001b[0m\n",
      "  ) = distance_trace(\n",
      "/home/afullard/tardis/tardis/energy_input/gamma_packet_loop.py:245: NumbaPerformanceWarning: \u001b[1m\u001b[1m\u001b[1m\u001b[1m\u001b[1mnp.dot() is faster on contiguous arrays, called on (array(float64, 1d, A), array(float64, 1d, C))\u001b[0m\u001b[0m\u001b[0m\u001b[0m\u001b[0m\n",
      "  packet, ejecta_energy_gained = process_packet_path(packet)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Entering gamma ray loop for 500000 packets\n",
      "Escaped packets: 81593\n",
      "Scattered packets: 23333\n",
      "Final energy to test for conservation\n",
      "3.720648730441454e+58\n"
     ]
    }
   ],
   "source": [
    "\n",
    "# Compute energy deposition rate\n",
    "# ejecta_energy_df is the deposited energy\n",
    "# ejecta_plot_energy_df is information for plotting\n",
    "# escape_energy is the escaping energy\n",
    "# decayed_packet_count is the number of packets created per shell\n",
    "# energy_plot_positrons is the deposited energy from positrons\n",
    "# estimated_deposition is the deposited energy from the Kasen (2006) estimator (currently not functional)\n",
    "(\n",
    "    energy_df,\n",
    "    energy_plot_df,\n",
    "    escape_energy,\n",
    "    decayed_packet_count,\n",
    "    energy_plot_positrons,\n",
    "    estimated_deposition\n",
    ") = main_gamma_ray_loop(\n",
    "    num_packets,\n",
    "    model,\n",
    "    plasma,\n",
    "    time_steps=50,\n",
    "    time_end=50.0,\n",
    "    path_to_decay_data=\"~/compiled_ensdf.hdf\"\n",
    ")\n",
    "\n",
    "ejecta_energy = energy_plot_df[\"energy_input\"]\n",
    "ejecta_energy_r = energy_plot_df[\"energy_input_r\"]\n",
    "energy_input_time = energy_plot_df[\"energy_input_time\"]\n",
    "energy_input_type = energy_plot_df[\"energy_input_type\"]"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plotting results\n",
    "\n",
    "Energy deposited at a given radius"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 900x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(dpi=150, facecolor='w')\n",
    "ax = fig.add_subplot(111)\n",
    "\n",
    "scatter = ax.scatter(np.array(ejecta_energy_r)/np.max(model.v_outer.value), np.array(ejecta_energy), s=1, alpha=0.1)\n",
    "ax.set_xlabel(\"r/R\")\n",
    "ax.set_ylabel(\"E (keV)\")\n",
    "ax.semilogy();"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Interactions binned by radius"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 900x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(dpi=150, facecolor='w')\n",
    "ax = fig.add_subplot(111)\n",
    "ax.hist(np.array(ejecta_energy_r), bins=200)\n",
    "#ax.set_xlim(0, 1)\n",
    "ax.set_xlabel(\"r (cm)\")\n",
    "ax.set_ylabel(\"Interaction count\");"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Density Profile"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 900x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(dpi=150, facecolor='w')\n",
    "plt.semilogy(model.r_middle/np.max(model.r_outer), model.density)\n",
    "plt.plot(0,0)\n",
    "plt.ylabel(\"Density g cm$^{-3}$\")\n",
    "plt.xlabel(\"r/R\");"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Fraction of energy escaping from the ejecta"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.844372140556195e-53"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.sum(np.sum(escape_energy) / (np.sum(escape_energy) + np.sum(energy_df)))"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Spectrum of escape energy at the final time step"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/afullard/tardis/tardis/energy_input/energy_source.py:170: ParserWarning: Falling back to the 'python' engine because the 'c' engine does not support regex separators (separators > 1 char and different from '\\s+' are interpreted as regex); you can avoid this warning by specifying engine='python'.\n",
      "  return pd.read_csv(\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7eff9e39b8e0>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1800x900 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from tardis.energy_input.energy_source import read_artis_lines\n",
    "\n",
    "ni56_lines = read_artis_lines(\"ni56\", \"~/Downloads/tardisnuclear/\")\n",
    "co56_lines = read_artis_lines(\"co56\", \"~/Downloads/tardisnuclear/\")\n",
    "\n",
    "plt.figure(figsize=(12, 6), dpi=150)\n",
    "plt.step(escape_energy.index, escape_energy.iloc[:,49], label=\"$\\gamma$-spectrum\", where=\"post\")\n",
    "plt.xlabel(\"Energy (keV)\")\n",
    "plt.ylabel(\"keV/keV/s\");\n",
    "plt.loglog()\n",
    "plt.xlim(100, 4000)\n",
    "#plt.ylim(0.01, 100)\n",
    "plt.vlines(ni56_lines.energy*1000, 0.1, 0.2, color=\"k\", label=\"Ni56\")\n",
    "plt.vlines(co56_lines.energy*1000, 0.1, 0.2, color=\"r\", label=\"Co56\")\n",
    "plt.legend()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Energy deposition rate\n",
    "\n",
    "Dataframe index is the radial grid location. Columns are time steps in seconds"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>1.728000e+05</th>\n",
       "      <th>1.842903e+05</th>\n",
       "      <th>1.965447e+05</th>\n",
       "      <th>2.096139e+05</th>\n",
       "      <th>2.235522e+05</th>\n",
       "      <th>2.384173e+05</th>\n",
       "      <th>2.542708e+05</th>\n",
       "      <th>2.711786e+05</th>\n",
       "      <th>2.892106e+05</th>\n",
       "      <th>3.084416e+05</th>\n",
       "      <th>...</th>\n",
       "      <th>2.269320e+06</th>\n",
       "      <th>2.420218e+06</th>\n",
       "      <th>2.581151e+06</th>\n",
       "      <th>2.752784e+06</th>\n",
       "      <th>2.935830e+06</th>\n",
       "      <th>3.131048e+06</th>\n",
       "      <th>3.339247e+06</th>\n",
       "      <th>3.561290e+06</th>\n",
       "      <th>3.798098e+06</th>\n",
       "      <th>4.050652e+06</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1.268952e+54</td>\n",
       "      <td>1.434033e+53</td>\n",
       "      <td>1.283598e+53</td>\n",
       "      <td>1.493515e+53</td>\n",
       "      <td>1.665060e+53</td>\n",
       "      <td>1.864771e+53</td>\n",
       "      <td>1.369552e+53</td>\n",
       "      <td>1.291566e+53</td>\n",
       "      <td>1.206870e+53</td>\n",
       "      <td>1.210695e+53</td>\n",
       "      <td>...</td>\n",
       "      <td>2.413105e+52</td>\n",
       "      <td>1.946078e+52</td>\n",
       "      <td>1.601020e+52</td>\n",
       "      <td>1.681973e+52</td>\n",
       "      <td>1.532812e+52</td>\n",
       "      <td>1.746724e+52</td>\n",
       "      <td>1.142765e+52</td>\n",
       "      <td>1.155513e+52</td>\n",
       "      <td>1.013063e+52</td>\n",
       "      <td>6.851335e+51</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>6.352248e+54</td>\n",
       "      <td>6.256791e+53</td>\n",
       "      <td>5.862575e+53</td>\n",
       "      <td>6.364949e+53</td>\n",
       "      <td>7.788701e+53</td>\n",
       "      <td>7.056560e+53</td>\n",
       "      <td>6.954693e+53</td>\n",
       "      <td>7.225777e+53</td>\n",
       "      <td>6.150372e+53</td>\n",
       "      <td>6.159685e+53</td>\n",
       "      <td>...</td>\n",
       "      <td>1.326250e+53</td>\n",
       "      <td>1.128764e+53</td>\n",
       "      <td>9.533177e+52</td>\n",
       "      <td>9.066819e+52</td>\n",
       "      <td>8.349490e+52</td>\n",
       "      <td>6.819232e+52</td>\n",
       "      <td>7.361927e+52</td>\n",
       "      <td>6.937388e+52</td>\n",
       "      <td>5.521254e+52</td>\n",
       "      <td>4.563154e+52</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1.256390e+55</td>\n",
       "      <td>1.224663e+54</td>\n",
       "      <td>1.455274e+54</td>\n",
       "      <td>1.393148e+54</td>\n",
       "      <td>1.294472e+54</td>\n",
       "      <td>1.200354e+54</td>\n",
       "      <td>1.191072e+54</td>\n",
       "      <td>1.325274e+54</td>\n",
       "      <td>1.247067e+54</td>\n",
       "      <td>1.228414e+54</td>\n",
       "      <td>...</td>\n",
       "      <td>2.548472e+53</td>\n",
       "      <td>2.394402e+53</td>\n",
       "      <td>2.271846e+53</td>\n",
       "      <td>1.892756e+53</td>\n",
       "      <td>1.689675e+53</td>\n",
       "      <td>1.628341e+53</td>\n",
       "      <td>1.372483e+53</td>\n",
       "      <td>1.343997e+53</td>\n",
       "      <td>1.264984e+53</td>\n",
       "      <td>1.023617e+53</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1.720830e+55</td>\n",
       "      <td>1.969217e+54</td>\n",
       "      <td>1.770751e+54</td>\n",
       "      <td>1.902969e+54</td>\n",
       "      <td>1.772499e+54</td>\n",
       "      <td>1.860536e+54</td>\n",
       "      <td>1.849413e+54</td>\n",
       "      <td>1.688380e+54</td>\n",
       "      <td>1.837876e+54</td>\n",
       "      <td>1.673101e+54</td>\n",
       "      <td>...</td>\n",
       "      <td>3.721530e+53</td>\n",
       "      <td>3.252044e+53</td>\n",
       "      <td>2.997976e+53</td>\n",
       "      <td>2.889827e+53</td>\n",
       "      <td>2.407073e+53</td>\n",
       "      <td>2.254808e+53</td>\n",
       "      <td>2.174352e+53</td>\n",
       "      <td>1.838789e+53</td>\n",
       "      <td>1.819876e+53</td>\n",
       "      <td>1.590544e+53</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2.061597e+55</td>\n",
       "      <td>2.118889e+54</td>\n",
       "      <td>2.361284e+54</td>\n",
       "      <td>2.224901e+54</td>\n",
       "      <td>1.929322e+54</td>\n",
       "      <td>2.138034e+54</td>\n",
       "      <td>2.121064e+54</td>\n",
       "      <td>1.924094e+54</td>\n",
       "      <td>1.987540e+54</td>\n",
       "      <td>1.973124e+54</td>\n",
       "      <td>...</td>\n",
       "      <td>4.067807e+53</td>\n",
       "      <td>3.866050e+53</td>\n",
       "      <td>3.417029e+53</td>\n",
       "      <td>3.527510e+53</td>\n",
       "      <td>2.975597e+53</td>\n",
       "      <td>2.717593e+53</td>\n",
       "      <td>2.501916e+53</td>\n",
       "      <td>2.181535e+53</td>\n",
       "      <td>1.990705e+53</td>\n",
       "      <td>1.963625e+53</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>2.183037e+55</td>\n",
       "      <td>2.313466e+54</td>\n",
       "      <td>2.486110e+54</td>\n",
       "      <td>2.332249e+54</td>\n",
       "      <td>2.466149e+54</td>\n",
       "      <td>2.202191e+54</td>\n",
       "      <td>2.202279e+54</td>\n",
       "      <td>2.211636e+54</td>\n",
       "      <td>2.227595e+54</td>\n",
       "      <td>2.093595e+54</td>\n",
       "      <td>...</td>\n",
       "      <td>4.533677e+53</td>\n",
       "      <td>4.126323e+53</td>\n",
       "      <td>3.522390e+53</td>\n",
       "      <td>3.371528e+53</td>\n",
       "      <td>3.012767e+53</td>\n",
       "      <td>2.863011e+53</td>\n",
       "      <td>2.678039e+53</td>\n",
       "      <td>2.315553e+53</td>\n",
       "      <td>1.989705e+53</td>\n",
       "      <td>1.950900e+53</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>2.314019e+55</td>\n",
       "      <td>2.541623e+54</td>\n",
       "      <td>2.458594e+54</td>\n",
       "      <td>2.224427e+54</td>\n",
       "      <td>2.101068e+54</td>\n",
       "      <td>2.393609e+54</td>\n",
       "      <td>2.401742e+54</td>\n",
       "      <td>2.069722e+54</td>\n",
       "      <td>2.161520e+54</td>\n",
       "      <td>2.233445e+54</td>\n",
       "      <td>...</td>\n",
       "      <td>4.401336e+53</td>\n",
       "      <td>3.829897e+53</td>\n",
       "      <td>3.344355e+53</td>\n",
       "      <td>3.361478e+53</td>\n",
       "      <td>2.807300e+53</td>\n",
       "      <td>2.594261e+53</td>\n",
       "      <td>2.613329e+53</td>\n",
       "      <td>2.173414e+53</td>\n",
       "      <td>2.075456e+53</td>\n",
       "      <td>1.861470e+53</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>2.111323e+55</td>\n",
       "      <td>2.151525e+54</td>\n",
       "      <td>2.260010e+54</td>\n",
       "      <td>2.081330e+54</td>\n",
       "      <td>2.245851e+54</td>\n",
       "      <td>2.237418e+54</td>\n",
       "      <td>2.117185e+54</td>\n",
       "      <td>2.193539e+54</td>\n",
       "      <td>2.033406e+54</td>\n",
       "      <td>1.965041e+54</td>\n",
       "      <td>...</td>\n",
       "      <td>4.041338e+53</td>\n",
       "      <td>3.574777e+53</td>\n",
       "      <td>3.243658e+53</td>\n",
       "      <td>2.860518e+53</td>\n",
       "      <td>2.836507e+53</td>\n",
       "      <td>2.387642e+53</td>\n",
       "      <td>2.345213e+53</td>\n",
       "      <td>2.193704e+53</td>\n",
       "      <td>1.705966e+53</td>\n",
       "      <td>1.731529e+53</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>1.922621e+55</td>\n",
       "      <td>2.195889e+54</td>\n",
       "      <td>1.937526e+54</td>\n",
       "      <td>1.994053e+54</td>\n",
       "      <td>2.080152e+54</td>\n",
       "      <td>2.091939e+54</td>\n",
       "      <td>2.013608e+54</td>\n",
       "      <td>1.954220e+54</td>\n",
       "      <td>1.887144e+54</td>\n",
       "      <td>1.888389e+54</td>\n",
       "      <td>...</td>\n",
       "      <td>3.376278e+53</td>\n",
       "      <td>3.379366e+53</td>\n",
       "      <td>2.893652e+53</td>\n",
       "      <td>2.460482e+53</td>\n",
       "      <td>2.349191e+53</td>\n",
       "      <td>2.123134e+53</td>\n",
       "      <td>1.840041e+53</td>\n",
       "      <td>1.691727e+53</td>\n",
       "      <td>1.431448e+53</td>\n",
       "      <td>1.261554e+53</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>1.725510e+55</td>\n",
       "      <td>1.852217e+54</td>\n",
       "      <td>1.755411e+54</td>\n",
       "      <td>2.035626e+54</td>\n",
       "      <td>1.885113e+54</td>\n",
       "      <td>1.804745e+54</td>\n",
       "      <td>1.800571e+54</td>\n",
       "      <td>1.683805e+54</td>\n",
       "      <td>1.719869e+54</td>\n",
       "      <td>1.687133e+54</td>\n",
       "      <td>...</td>\n",
       "      <td>2.819492e+53</td>\n",
       "      <td>2.637785e+53</td>\n",
       "      <td>2.536277e+53</td>\n",
       "      <td>2.043085e+53</td>\n",
       "      <td>1.644105e+53</td>\n",
       "      <td>1.596846e+53</td>\n",
       "      <td>1.468581e+53</td>\n",
       "      <td>1.328962e+53</td>\n",
       "      <td>1.123189e+53</td>\n",
       "      <td>9.315640e+52</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>1.478802e+55</td>\n",
       "      <td>1.811474e+54</td>\n",
       "      <td>1.466713e+54</td>\n",
       "      <td>1.580566e+54</td>\n",
       "      <td>1.612419e+54</td>\n",
       "      <td>1.622183e+54</td>\n",
       "      <td>1.479221e+54</td>\n",
       "      <td>1.564288e+54</td>\n",
       "      <td>1.383014e+54</td>\n",
       "      <td>1.467392e+54</td>\n",
       "      <td>...</td>\n",
       "      <td>2.130141e+53</td>\n",
       "      <td>2.118125e+53</td>\n",
       "      <td>1.711647e+53</td>\n",
       "      <td>1.648757e+53</td>\n",
       "      <td>1.546999e+53</td>\n",
       "      <td>1.292042e+53</td>\n",
       "      <td>1.012572e+53</td>\n",
       "      <td>1.090591e+53</td>\n",
       "      <td>8.554179e+52</td>\n",
       "      <td>7.878659e+52</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>1.308745e+55</td>\n",
       "      <td>1.460406e+54</td>\n",
       "      <td>1.447386e+54</td>\n",
       "      <td>1.346796e+54</td>\n",
       "      <td>1.402081e+54</td>\n",
       "      <td>1.420153e+54</td>\n",
       "      <td>1.299567e+54</td>\n",
       "      <td>1.205790e+54</td>\n",
       "      <td>1.428299e+54</td>\n",
       "      <td>1.339745e+54</td>\n",
       "      <td>...</td>\n",
       "      <td>1.757030e+53</td>\n",
       "      <td>1.548390e+53</td>\n",
       "      <td>1.376493e+53</td>\n",
       "      <td>1.125006e+53</td>\n",
       "      <td>1.040292e+53</td>\n",
       "      <td>9.341924e+52</td>\n",
       "      <td>8.638519e+52</td>\n",
       "      <td>7.397325e+52</td>\n",
       "      <td>6.592805e+52</td>\n",
       "      <td>5.976537e+52</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>1.123812e+55</td>\n",
       "      <td>1.225134e+54</td>\n",
       "      <td>1.087325e+54</td>\n",
       "      <td>1.129301e+54</td>\n",
       "      <td>1.278660e+54</td>\n",
       "      <td>1.068451e+54</td>\n",
       "      <td>1.077110e+54</td>\n",
       "      <td>1.102109e+54</td>\n",
       "      <td>1.066945e+54</td>\n",
       "      <td>1.003824e+54</td>\n",
       "      <td>...</td>\n",
       "      <td>1.138373e+53</td>\n",
       "      <td>9.911889e+52</td>\n",
       "      <td>8.863272e+52</td>\n",
       "      <td>9.083607e+52</td>\n",
       "      <td>7.878527e+52</td>\n",
       "      <td>6.366229e+52</td>\n",
       "      <td>6.144144e+52</td>\n",
       "      <td>4.775543e+52</td>\n",
       "      <td>4.849689e+52</td>\n",
       "      <td>4.762654e+52</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>9.236778e+54</td>\n",
       "      <td>1.055157e+54</td>\n",
       "      <td>9.396187e+53</td>\n",
       "      <td>8.982871e+53</td>\n",
       "      <td>1.015297e+54</td>\n",
       "      <td>8.711438e+53</td>\n",
       "      <td>9.211775e+53</td>\n",
       "      <td>8.318177e+53</td>\n",
       "      <td>8.380983e+53</td>\n",
       "      <td>8.134140e+53</td>\n",
       "      <td>...</td>\n",
       "      <td>9.137514e+52</td>\n",
       "      <td>8.480772e+52</td>\n",
       "      <td>7.327633e+52</td>\n",
       "      <td>5.763397e+52</td>\n",
       "      <td>5.614848e+52</td>\n",
       "      <td>4.220384e+52</td>\n",
       "      <td>4.918503e+52</td>\n",
       "      <td>3.944850e+52</td>\n",
       "      <td>3.457032e+52</td>\n",
       "      <td>2.885190e+52</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>7.707517e+54</td>\n",
       "      <td>8.334156e+53</td>\n",
       "      <td>9.577188e+53</td>\n",
       "      <td>7.962057e+53</td>\n",
       "      <td>6.930276e+53</td>\n",
       "      <td>8.204323e+53</td>\n",
       "      <td>7.828914e+53</td>\n",
       "      <td>7.164728e+53</td>\n",
       "      <td>6.386090e+53</td>\n",
       "      <td>6.956695e+53</td>\n",
       "      <td>...</td>\n",
       "      <td>5.413666e+52</td>\n",
       "      <td>4.705275e+52</td>\n",
       "      <td>4.130852e+52</td>\n",
       "      <td>3.872048e+52</td>\n",
       "      <td>4.527747e+52</td>\n",
       "      <td>3.207596e+52</td>\n",
       "      <td>2.490193e+52</td>\n",
       "      <td>2.495629e+52</td>\n",
       "      <td>2.457263e+52</td>\n",
       "      <td>1.981165e+52</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>6.191768e+54</td>\n",
       "      <td>5.473081e+53</td>\n",
       "      <td>6.655216e+53</td>\n",
       "      <td>6.239894e+53</td>\n",
       "      <td>6.975514e+53</td>\n",
       "      <td>6.084465e+53</td>\n",
       "      <td>7.786685e+53</td>\n",
       "      <td>5.483303e+53</td>\n",
       "      <td>5.721475e+53</td>\n",
       "      <td>5.412126e+53</td>\n",
       "      <td>...</td>\n",
       "      <td>3.969469e+52</td>\n",
       "      <td>4.340826e+52</td>\n",
       "      <td>3.682750e+52</td>\n",
       "      <td>3.111694e+52</td>\n",
       "      <td>2.165591e+52</td>\n",
       "      <td>2.104476e+52</td>\n",
       "      <td>2.120679e+52</td>\n",
       "      <td>2.012698e+52</td>\n",
       "      <td>1.412540e+52</td>\n",
       "      <td>1.609626e+52</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>4.915662e+54</td>\n",
       "      <td>4.883089e+53</td>\n",
       "      <td>5.309932e+53</td>\n",
       "      <td>5.435722e+53</td>\n",
       "      <td>5.847968e+53</td>\n",
       "      <td>5.329650e+53</td>\n",
       "      <td>4.808035e+53</td>\n",
       "      <td>3.888501e+53</td>\n",
       "      <td>5.008029e+53</td>\n",
       "      <td>4.654530e+53</td>\n",
       "      <td>...</td>\n",
       "      <td>2.642693e+52</td>\n",
       "      <td>2.896227e+52</td>\n",
       "      <td>2.212667e+52</td>\n",
       "      <td>2.213041e+52</td>\n",
       "      <td>1.790653e+52</td>\n",
       "      <td>1.690462e+52</td>\n",
       "      <td>1.916662e+52</td>\n",
       "      <td>1.402938e+52</td>\n",
       "      <td>8.857395e+51</td>\n",
       "      <td>1.167084e+52</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>4.147753e+54</td>\n",
       "      <td>4.613959e+53</td>\n",
       "      <td>3.960488e+53</td>\n",
       "      <td>4.516572e+53</td>\n",
       "      <td>4.716706e+53</td>\n",
       "      <td>4.121339e+53</td>\n",
       "      <td>4.278267e+53</td>\n",
       "      <td>4.491534e+53</td>\n",
       "      <td>2.649101e+53</td>\n",
       "      <td>3.225867e+53</td>\n",
       "      <td>...</td>\n",
       "      <td>2.639209e+52</td>\n",
       "      <td>1.600225e+52</td>\n",
       "      <td>1.834074e+52</td>\n",
       "      <td>1.458769e+52</td>\n",
       "      <td>1.407996e+52</td>\n",
       "      <td>1.274043e+52</td>\n",
       "      <td>9.493741e+51</td>\n",
       "      <td>8.616331e+51</td>\n",
       "      <td>8.732235e+51</td>\n",
       "      <td>8.816470e+51</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>3.245799e+54</td>\n",
       "      <td>3.905090e+53</td>\n",
       "      <td>3.410483e+53</td>\n",
       "      <td>3.592481e+53</td>\n",
       "      <td>2.625412e+53</td>\n",
       "      <td>3.660111e+53</td>\n",
       "      <td>3.573277e+53</td>\n",
       "      <td>4.006494e+53</td>\n",
       "      <td>2.275214e+53</td>\n",
       "      <td>2.788264e+53</td>\n",
       "      <td>...</td>\n",
       "      <td>1.712318e+52</td>\n",
       "      <td>7.255677e+51</td>\n",
       "      <td>1.114020e+52</td>\n",
       "      <td>1.186242e+52</td>\n",
       "      <td>1.025083e+52</td>\n",
       "      <td>9.771694e+51</td>\n",
       "      <td>6.949339e+51</td>\n",
       "      <td>7.629940e+51</td>\n",
       "      <td>6.335910e+51</td>\n",
       "      <td>4.726639e+51</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>2.490859e+54</td>\n",
       "      <td>3.183146e+53</td>\n",
       "      <td>1.705482e+53</td>\n",
       "      <td>2.854045e+53</td>\n",
       "      <td>2.615611e+53</td>\n",
       "      <td>2.653951e+53</td>\n",
       "      <td>2.443372e+53</td>\n",
       "      <td>2.982978e+53</td>\n",
       "      <td>2.598039e+53</td>\n",
       "      <td>2.129802e+53</td>\n",
       "      <td>...</td>\n",
       "      <td>9.081512e+51</td>\n",
       "      <td>5.451095e+51</td>\n",
       "      <td>9.925498e+51</td>\n",
       "      <td>8.614093e+51</td>\n",
       "      <td>9.119476e+51</td>\n",
       "      <td>5.419938e+51</td>\n",
       "      <td>4.528037e+51</td>\n",
       "      <td>3.783831e+51</td>\n",
       "      <td>4.377392e+51</td>\n",
       "      <td>3.675127e+51</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>20 rows × 50 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "    1.728000e+05  1.842903e+05  1.965447e+05  2.096139e+05  2.235522e+05  \\\n",
       "0   1.268952e+54  1.434033e+53  1.283598e+53  1.493515e+53  1.665060e+53   \n",
       "1   6.352248e+54  6.256791e+53  5.862575e+53  6.364949e+53  7.788701e+53   \n",
       "2   1.256390e+55  1.224663e+54  1.455274e+54  1.393148e+54  1.294472e+54   \n",
       "3   1.720830e+55  1.969217e+54  1.770751e+54  1.902969e+54  1.772499e+54   \n",
       "4   2.061597e+55  2.118889e+54  2.361284e+54  2.224901e+54  1.929322e+54   \n",
       "5   2.183037e+55  2.313466e+54  2.486110e+54  2.332249e+54  2.466149e+54   \n",
       "6   2.314019e+55  2.541623e+54  2.458594e+54  2.224427e+54  2.101068e+54   \n",
       "7   2.111323e+55  2.151525e+54  2.260010e+54  2.081330e+54  2.245851e+54   \n",
       "8   1.922621e+55  2.195889e+54  1.937526e+54  1.994053e+54  2.080152e+54   \n",
       "9   1.725510e+55  1.852217e+54  1.755411e+54  2.035626e+54  1.885113e+54   \n",
       "10  1.478802e+55  1.811474e+54  1.466713e+54  1.580566e+54  1.612419e+54   \n",
       "11  1.308745e+55  1.460406e+54  1.447386e+54  1.346796e+54  1.402081e+54   \n",
       "12  1.123812e+55  1.225134e+54  1.087325e+54  1.129301e+54  1.278660e+54   \n",
       "13  9.236778e+54  1.055157e+54  9.396187e+53  8.982871e+53  1.015297e+54   \n",
       "14  7.707517e+54  8.334156e+53  9.577188e+53  7.962057e+53  6.930276e+53   \n",
       "15  6.191768e+54  5.473081e+53  6.655216e+53  6.239894e+53  6.975514e+53   \n",
       "16  4.915662e+54  4.883089e+53  5.309932e+53  5.435722e+53  5.847968e+53   \n",
       "17  4.147753e+54  4.613959e+53  3.960488e+53  4.516572e+53  4.716706e+53   \n",
       "18  3.245799e+54  3.905090e+53  3.410483e+53  3.592481e+53  2.625412e+53   \n",
       "19  2.490859e+54  3.183146e+53  1.705482e+53  2.854045e+53  2.615611e+53   \n",
       "\n",
       "    2.384173e+05  2.542708e+05  2.711786e+05  2.892106e+05  3.084416e+05  ...  \\\n",
       "0   1.864771e+53  1.369552e+53  1.291566e+53  1.206870e+53  1.210695e+53  ...   \n",
       "1   7.056560e+53  6.954693e+53  7.225777e+53  6.150372e+53  6.159685e+53  ...   \n",
       "2   1.200354e+54  1.191072e+54  1.325274e+54  1.247067e+54  1.228414e+54  ...   \n",
       "3   1.860536e+54  1.849413e+54  1.688380e+54  1.837876e+54  1.673101e+54  ...   \n",
       "4   2.138034e+54  2.121064e+54  1.924094e+54  1.987540e+54  1.973124e+54  ...   \n",
       "5   2.202191e+54  2.202279e+54  2.211636e+54  2.227595e+54  2.093595e+54  ...   \n",
       "6   2.393609e+54  2.401742e+54  2.069722e+54  2.161520e+54  2.233445e+54  ...   \n",
       "7   2.237418e+54  2.117185e+54  2.193539e+54  2.033406e+54  1.965041e+54  ...   \n",
       "8   2.091939e+54  2.013608e+54  1.954220e+54  1.887144e+54  1.888389e+54  ...   \n",
       "9   1.804745e+54  1.800571e+54  1.683805e+54  1.719869e+54  1.687133e+54  ...   \n",
       "10  1.622183e+54  1.479221e+54  1.564288e+54  1.383014e+54  1.467392e+54  ...   \n",
       "11  1.420153e+54  1.299567e+54  1.205790e+54  1.428299e+54  1.339745e+54  ...   \n",
       "12  1.068451e+54  1.077110e+54  1.102109e+54  1.066945e+54  1.003824e+54  ...   \n",
       "13  8.711438e+53  9.211775e+53  8.318177e+53  8.380983e+53  8.134140e+53  ...   \n",
       "14  8.204323e+53  7.828914e+53  7.164728e+53  6.386090e+53  6.956695e+53  ...   \n",
       "15  6.084465e+53  7.786685e+53  5.483303e+53  5.721475e+53  5.412126e+53  ...   \n",
       "16  5.329650e+53  4.808035e+53  3.888501e+53  5.008029e+53  4.654530e+53  ...   \n",
       "17  4.121339e+53  4.278267e+53  4.491534e+53  2.649101e+53  3.225867e+53  ...   \n",
       "18  3.660111e+53  3.573277e+53  4.006494e+53  2.275214e+53  2.788264e+53  ...   \n",
       "19  2.653951e+53  2.443372e+53  2.982978e+53  2.598039e+53  2.129802e+53  ...   \n",
       "\n",
       "    2.269320e+06  2.420218e+06  2.581151e+06  2.752784e+06  2.935830e+06  \\\n",
       "0   2.413105e+52  1.946078e+52  1.601020e+52  1.681973e+52  1.532812e+52   \n",
       "1   1.326250e+53  1.128764e+53  9.533177e+52  9.066819e+52  8.349490e+52   \n",
       "2   2.548472e+53  2.394402e+53  2.271846e+53  1.892756e+53  1.689675e+53   \n",
       "3   3.721530e+53  3.252044e+53  2.997976e+53  2.889827e+53  2.407073e+53   \n",
       "4   4.067807e+53  3.866050e+53  3.417029e+53  3.527510e+53  2.975597e+53   \n",
       "5   4.533677e+53  4.126323e+53  3.522390e+53  3.371528e+53  3.012767e+53   \n",
       "6   4.401336e+53  3.829897e+53  3.344355e+53  3.361478e+53  2.807300e+53   \n",
       "7   4.041338e+53  3.574777e+53  3.243658e+53  2.860518e+53  2.836507e+53   \n",
       "8   3.376278e+53  3.379366e+53  2.893652e+53  2.460482e+53  2.349191e+53   \n",
       "9   2.819492e+53  2.637785e+53  2.536277e+53  2.043085e+53  1.644105e+53   \n",
       "10  2.130141e+53  2.118125e+53  1.711647e+53  1.648757e+53  1.546999e+53   \n",
       "11  1.757030e+53  1.548390e+53  1.376493e+53  1.125006e+53  1.040292e+53   \n",
       "12  1.138373e+53  9.911889e+52  8.863272e+52  9.083607e+52  7.878527e+52   \n",
       "13  9.137514e+52  8.480772e+52  7.327633e+52  5.763397e+52  5.614848e+52   \n",
       "14  5.413666e+52  4.705275e+52  4.130852e+52  3.872048e+52  4.527747e+52   \n",
       "15  3.969469e+52  4.340826e+52  3.682750e+52  3.111694e+52  2.165591e+52   \n",
       "16  2.642693e+52  2.896227e+52  2.212667e+52  2.213041e+52  1.790653e+52   \n",
       "17  2.639209e+52  1.600225e+52  1.834074e+52  1.458769e+52  1.407996e+52   \n",
       "18  1.712318e+52  7.255677e+51  1.114020e+52  1.186242e+52  1.025083e+52   \n",
       "19  9.081512e+51  5.451095e+51  9.925498e+51  8.614093e+51  9.119476e+51   \n",
       "\n",
       "    3.131048e+06  3.339247e+06  3.561290e+06  3.798098e+06  4.050652e+06  \n",
       "0   1.746724e+52  1.142765e+52  1.155513e+52  1.013063e+52  6.851335e+51  \n",
       "1   6.819232e+52  7.361927e+52  6.937388e+52  5.521254e+52  4.563154e+52  \n",
       "2   1.628341e+53  1.372483e+53  1.343997e+53  1.264984e+53  1.023617e+53  \n",
       "3   2.254808e+53  2.174352e+53  1.838789e+53  1.819876e+53  1.590544e+53  \n",
       "4   2.717593e+53  2.501916e+53  2.181535e+53  1.990705e+53  1.963625e+53  \n",
       "5   2.863011e+53  2.678039e+53  2.315553e+53  1.989705e+53  1.950900e+53  \n",
       "6   2.594261e+53  2.613329e+53  2.173414e+53  2.075456e+53  1.861470e+53  \n",
       "7   2.387642e+53  2.345213e+53  2.193704e+53  1.705966e+53  1.731529e+53  \n",
       "8   2.123134e+53  1.840041e+53  1.691727e+53  1.431448e+53  1.261554e+53  \n",
       "9   1.596846e+53  1.468581e+53  1.328962e+53  1.123189e+53  9.315640e+52  \n",
       "10  1.292042e+53  1.012572e+53  1.090591e+53  8.554179e+52  7.878659e+52  \n",
       "11  9.341924e+52  8.638519e+52  7.397325e+52  6.592805e+52  5.976537e+52  \n",
       "12  6.366229e+52  6.144144e+52  4.775543e+52  4.849689e+52  4.762654e+52  \n",
       "13  4.220384e+52  4.918503e+52  3.944850e+52  3.457032e+52  2.885190e+52  \n",
       "14  3.207596e+52  2.490193e+52  2.495629e+52  2.457263e+52  1.981165e+52  \n",
       "15  2.104476e+52  2.120679e+52  2.012698e+52  1.412540e+52  1.609626e+52  \n",
       "16  1.690462e+52  1.916662e+52  1.402938e+52  8.857395e+51  1.167084e+52  \n",
       "17  1.274043e+52  9.493741e+51  8.616331e+51  8.732235e+51  8.816470e+51  \n",
       "18  9.771694e+51  6.949339e+51  7.629940e+51  6.335910e+51  4.726639e+51  \n",
       "19  5.419938e+51  4.528037e+51  3.783831e+51  4.377392e+51  3.675127e+51  \n",
       "\n",
       "[20 rows x 50 columns]"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "energy_df"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Energy deposition rate versus radius at time_explosion"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 900x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(dpi=150, facecolor='w')\n",
    "plt.semilogy(model.v_middle/np.max(model.v_outer), energy_df.iloc[:, 0])\n",
    "plt.xlabel(\"r/R\")\n",
    "plt.ylabel(\"Energy deposition rate [eV/s$]\");"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Energy Deposition rate versus time compared to the analytic estimate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No artists with labels found to put in legend.  Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(0.7, 1.1)"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 900x600 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "energy = energy_df.T.sum(axis=1) * u.eV.to('erg')\n",
    "\n",
    "def analytic_estimate(t):\n",
    "    return 0.6 * (0.97 * (1 - np.exp(-(40 / t)**2)) + 0.03) * (6.45 * np.exp(-t/8.8) + 1.45 * np.exp(-t/111.3)) * 1e43\n",
    "\n",
    "t_tardis = energy.index * u.s.to('d')\n",
    "\n",
    "plt.figure(dpi=150)\n",
    "plt.plot(t_tardis, energy / analytic_estimate(t_tardis), \"-\")\n",
    "plt.xlabel(\"t_exp (d)\")\n",
    "plt.ylabel(\"Energy deposition / analytic\")\n",
    "plt.legend()\n",
    "plt.xlim(0, 50)\n",
    "plt.ylim(0.7, 1.1)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3.8.13 ('tardis')",
   "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": "3.8.13"
  },
  "vscode": {
   "interpreter": {
    "hash": "ab6b335b7cc719c38d57322c8d43d734486986c3f7383dc4955a9aacbba5e549"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}