{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import sys\n",
    "from scipy.fft import fftn, fftshift, fftfreq\n",
    "import glob\n",
    "import h5py\n",
    "sys.path.insert(0, '/Users/vk/Codes/pencil-code/python')\n",
    "import pencil as pc\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib as mpl\n",
    "\n",
    "mpl.rcParams.update({\n",
    "\n",
    "    # ===================== LaTeX =====================\n",
    "    \"text.usetex\": True,\n",
    "\n",
    "    \"text.latex.preamble\": r\"\"\"\n",
    "        % \\usepackage{upmath}\n",
    "        \\usepackage{amsmath}\n",
    "        \\usepackage{amssymb}\n",
    "    \"\"\",\n",
    "\n",
    "    \"font.family\": \"serif\",\n",
    "\n",
    "    # # ===================== FONTS =====================\n",
    "    # \"font.family\": \"serif\",\n",
    "    # \"font.serif\": [\"ztm\"],   # Nimbus Roman No9 L alias\n",
    "    # # \"mathtext.fontset\": \"stix\",\n",
    "\n",
    "\n",
    "    # ===================== SIZES =====================\n",
    "    \"font.size\": 13,\n",
    "    \"axes.labelsize\": 14,\n",
    "    \"axes.titlesize\": 15,\n",
    "\n",
    "    # ===================== LINES =====================\n",
    "    \"lines.linewidth\": 2.5,\n",
    "\n",
    "    # ===================== AXES =====================\n",
    "    \"axes.linewidth\": 1.3,\n",
    "\n",
    "    # ===================== TICKS =====================\n",
    "    \"xtick.direction\": \"in\",\n",
    "    \"ytick.direction\": \"in\",\n",
    "    \"xtick.top\": True,\n",
    "    \"ytick.right\": True,\n",
    "\n",
    "    \"xtick.major.size\": 6,\n",
    "    \"ytick.major.size\": 6,\n",
    "    \"xtick.minor.size\": 3,\n",
    "    \"ytick.minor.size\": 3,\n",
    "\n",
    "    \"xtick.minor.visible\": True,\n",
    "    \"ytick.minor.visible\": True,\n",
    "    \"xtick.major.pad\": 6,\n",
    "    \"ytick.major.pad\": 6,\n",
    "\n",
    "    # ===================== LEGEND =====================\n",
    "    \"legend.frameon\": False,\n",
    "})\n",
    "\n",
    "from cycler import cycler\n",
    "\n",
    "okabe_ito = [\n",
    "    \"#E69F00\",  # orange\n",
    "    \"#56B4E9\",  # sky blue\n",
    "    \"#009E73\",  # bluish green\n",
    "    \"#0072B2\",  # blue\n",
    "    \"#D55E00\",  # vermillion\n",
    "    \"#CC79A7\",  # reddish purple\n",
    "    \"#000000\"   # black\n",
    "]\n",
    "\n",
    "cols2 = ['#dee2e6', '#adb5bd', '#6c757d', '#343a40']\n",
    "cols = [\n",
    "    '#00b4d8', \n",
    "    '#fca311', \n",
    "    '#ff0054',\n",
    "    '#04E762', \n",
    "    '#0B5563',\n",
    "    '#2c363f',\n",
    "            ]\n",
    "\n",
    "# cols3 = ['#001219', '#005f73', '#0a9396', '#94d2bd', '#ee9b00', '#ca6702', '#bb3e03', '#ae2012', '#9b2226']\n",
    "\n",
    "# cols = ['#477998', '#43aa8b', '#90be6d', '#f9c74f', '#f8961e', '#f94144']\n",
    "\n",
    "\n",
    "plt.rcParams['axes.prop_cycle'] = cycler(color=okabe_ito)\n",
    "plt.rcParams['axes.prop_cycle'] = cycler(color=cols)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "slopes = np.load(\"V_rec_vs_S_Pm1/slopes.npz\")\n",
    "slopes_peq = np.load(\"V_rec_vs_S_Pm1/slopes_peq.npz\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 2100x1500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(7, 5), dpi=300)\n",
    "\n",
    "# --- data ---\n",
    "ax.plot(\n",
    "    slopes['S'], -slopes['slopes'],\n",
    "    'o',\n",
    "    color=cols[1],\n",
    "    ms=12,\n",
    "    mew=1.2,\n",
    "    mec=cols[-1],\n",
    "    alpha=0.7,\n",
    "    label=\"Full equilibrium\"\n",
    ")\n",
    "\n",
    "ax.plot(\n",
    "    slopes_peq['S'], -slopes_peq['slopes'],\n",
    "    's',\n",
    "    color=cols[2],\n",
    "    ms=10,\n",
    "    mew=1.2,\n",
    "    mec=cols[-1],\n",
    "    alpha=0.7,\n",
    "    label=\"Pressure equilibrium\"\n",
    ")\n",
    "\n",
    "ax.plot(\n",
    "    slopes['S'],\n",
    "    2.0 * slopes['S']**(-1/2),\n",
    "    '--',\n",
    "    lw=2,\n",
    "    color=cols[-2],\n",
    "    label=r\"$\\propto S^{-1/2}$\",\n",
    "    zorder=-1\n",
    ")\n",
    "\n",
    "ax.plot(\n",
    "    slopes['S'],\n",
    "    0.5 * slopes['S']**(-1/3),\n",
    "    ':',\n",
    "    lw=2,\n",
    "    color=cols[-2],\n",
    "    label=r\"$\\propto S^{-1/3}$\",\n",
    "    zorder=-1\n",
    ")\n",
    "\n",
    "ax.set_xlim(750,1.5e5)\n",
    "ax.set_ylim(0.004,)\n",
    "\n",
    "# --- scales ---\n",
    "ax.set_xscale('log')\n",
    "ax.set_yscale('log')\n",
    "\n",
    "# --- labels ---\n",
    "ax.set_xlabel(r\"$S$\")\n",
    "ax.set_ylabel(r\"Reconnection rate\")\n",
    "\n",
    "# --- ticks ---\n",
    "ax.tick_params(which='both', direction='in', top=True, right=True)\n",
    "ax.set_yticks([0.005, 0.01, 0.02, 0.05])\n",
    "ax.set_yticklabels([f\"{y:.3f}\" for y in ax.get_yticks()])\n",
    "# --- legend ---\n",
    "ax.legend(frameon=0)\n",
    "\n",
    "plt.savefig('comp_peq_feq.png', dpi=300, bbox_inches='tight')\n",
    "plt.savefig('comp_peq_feq.pdf', dpi=300, bbox_inches='tight')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 2100x1500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(7, 5), dpi=300)\n",
    "\n",
    "# --- data ---\n",
    "ax.plot(\n",
    "    slopes['S'], -slopes['slopes'],\n",
    "    'o',\n",
    "    color=cols[1],\n",
    "    ms=12,\n",
    "    mew=1.2,\n",
    "    mec=cols[-1],\n",
    "    alpha=0.7,\n",
    "    # label=\"Full equilibrium\"\n",
    ")\n",
    "\n",
    "\n",
    "ax.plot(\n",
    "    slopes['S'],\n",
    "    2.0 * slopes['S']**(-1/2),\n",
    "    '--',\n",
    "    lw=2,\n",
    "    color=cols[-2],\n",
    "    label=r\"$\\propto S^{-1/2}$\",\n",
    "    zorder=-1\n",
    ")\n",
    "\n",
    "\n",
    "# --- scales ---\n",
    "ax.set_xscale('log')\n",
    "ax.set_yscale('log')\n",
    "\n",
    "# --- labels ---\n",
    "ax.set_xlabel(r\"$S$\")\n",
    "ax.set_ylabel(r\"Reconnection rate\")\n",
    "\n",
    "# --- ticks ---\n",
    "ax.tick_params(which='both', direction='in', top=True, right=True)\n",
    "ax.set_yticks([0.005, 0.01, 0.02, 0.05])\n",
    "ax.set_yticklabels([f\"{y:.3f}\" for y in ax.get_yticks()])\n",
    "# --- legend ---\n",
    "ax.legend(frameon=0)\n",
    "\n",
    "plt.savefig('reconnection_rate_scaling_S.png', dpi=300, bbox_inches='tight')\n",
    "plt.savefig('reconnection_rate_scaling_S.pdf', dpi=300, bbox_inches='tight')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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