Statistical_Approach_2nd_law.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "ec3f4d81",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.special import gammaln\n",
    "from matplotlib.animation import FuncAnimation\n",
    "%config InlineBackend.figure_format = 'retina'"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "37d1a088",
   "metadata": {},
   "source": [
    "Inspired to A statistical approach to the second law of thermodynamics using a computer simulation\n",
    "\n",
    "L Bellomonte and R M Sperandeo-Mineo\n",
    "\n",
    "Published under licence by IOP Publishing Ltd\n",
    "\n",
    "European Journal of Physics, Volume 18, Number 5\n",
    "\n",
    "DOI 10.1088/0143-0807/18/5/00"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ba995596",
   "metadata": {},
   "source": [
    "![Calculations](./images/calculations_second_law.jpeg)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "7ab344b4",
   "metadata": {},
   "outputs": [],
   "source": [
    "class EnergyExchangeSystem:\n",
    "    \"\"\"\n",
    "    A base class for a set of particles that could exchange energy. Subclasses must implement the step method.\n",
    "\n",
    "    Parameters\n",
    "        n (int): The number of particles\n",
    "        random_state (None or int): The seed for the random number generator. If None,\n",
    "            the random number generator is not seeded.\n",
    "        initial_state (None or array): The initial state of the system. If None, a \n",
    "            random initial state is used.\n",
    "        \n",
    "    \"\"\"\n",
    "    def __init__(self, n, random_state=None, initial_energies=None):\n",
    "        self.n = n\n",
    "        self.random_state = random_state\n",
    "        self.particles_id = np.arange(n)\n",
    "        np.random.seed(self.random_state)\n",
    "\n",
    "        ## The system is a 1D array of floats (=energy)\n",
    "        if initial_energies is None:\n",
    "            self.initial_energies = np.random.uniform(0., 1., self.n)\n",
    "        else:\n",
    "            self.initial_energies = initial_energies\n",
    "        self.energies = self.initial_energies\n",
    "\n",
    "        self.history = [self.energies]\n",
    "    \n",
    "    def step(self):\n",
    "        \"\"\"\n",
    "        Execute a microscopic step\n",
    "        \"\"\"\n",
    "        return NotImplementedError\n",
    "\n",
    "    def simulate(self, n_steps):\n",
    "        \"\"\"\n",
    "        Iterate the dynamics for n_steps, and return the results as an array\n",
    "        \"\"\"\n",
    "        for i in range(n_steps):\n",
    "            self.energies = self.step()\n",
    "            self.history.append(self.energies)\n",
    "    \n",
    "    def energies_partitions(self, max_em, n_bins, ind=-1):\n",
    "        \"\"\"\n",
    "        Calculates energies partitions:\n",
    "        max_em is the max value of energy in units of mean energy\n",
    "        n_bins in the number of partition bins\n",
    "        Returns partition and bins coordinates\n",
    "        \"\"\"\n",
    "        energy_partition, bins = np.histogram(self.history[ind]/np.mean(self.history[ind]), \n",
    "                                              range = (0, max_em), bins=n_bins, density=False)\n",
    "        return energy_partition, bins\n",
    "\n",
    "    def calculate_entropy(self, max_em, n_bins, ind=-1):\n",
    "        \"\"\"\n",
    "        Calculates entropy of energy partition.\n",
    "        max_em is the max value of energy in units of mean energy\n",
    "        n_bins in the number of partition bins\n",
    "        Returns entropy\n",
    "        \"\"\"\n",
    "        energy_partition, _ = self.energies_partitions(max_em, n_bins, ind)\n",
    "        return gammaln(self.n)-np.sum(gammaln(energy_partition[energy_partition>0]))\n",
    "    \n",
    "    def calculate_entropy_history(self, max_em, n_bins):\n",
    "        \"\"\"\n",
    "        Calculates the history of entropy of energy partition.\n",
    "        max_em is the max value of energy in units of mean energy\n",
    "        n_bins in the number of partition bins\n",
    "        Returns entropy history ndarray\n",
    "        \"\"\"\n",
    "        entropy_history = np.zeros(len(self.history), dtype=np.float64)\n",
    "        for i, es in enumerate(self.history):\n",
    "            energy_partition, _ = np.histogram(es/np.mean(es), \n",
    "                                              range = (0, max_em), bins=n_bins, density=False)\n",
    "            entropy_history[i] = gammaln(self.n)-np.sum(gammaln(energy_partition[energy_partition>0]))\n",
    "        return entropy_history\n",
    "    \n",
    "    def get_particle_history(self, particle_id):\n",
    "        \"\"\"\n",
    "        Returns the history of energy (in units of mean system energy) of a particle.\n",
    "        particle_id is the id of the particle\n",
    "        Returns energy history ndarray of the particle\n",
    "        \"\"\"\n",
    "        particle_history = [h[particle_id]/np.mean(np.array(h)) for h in self.history]\n",
    "        return np.array(particle_history)\n",
    "        "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "0aa95de2",
   "metadata": {},
   "outputs": [],
   "source": [
    "class MaxwellBoltzmann(EnergyExchangeSystem):\n",
    "    \"\"\"\n",
    "    Particles exchange kinetic energy as in a 3D gas of particles in d spatial dimensions\n",
    "    \"\"\"\n",
    "    def __init__(self, d, n, **kwargs):\n",
    "        super().__init__(n, **kwargs)\n",
    "        self.d = d\n",
    "    \n",
    "    @staticmethod\n",
    "    def p(x,d):\n",
    "        return (x-x**2)**((d-2)/2)\n",
    "\n",
    "    def step(self):\n",
    "        \"\"\"\n",
    "        Output the next state:\n",
    "        two random particles with kinetic energies e1 and e2 are chosen (e1+e2=etot)\n",
    "        their new kinetic energies are sampled from the following probability distribution:\n",
    "        P(e1) ~ sqrt(e1*(etot-e1)) and e2=etot-e1\n",
    "        \"\"\"\n",
    "        p1, p2 = np.random.choice(self.particles_id, 2, replace=False)\n",
    "        e_tot = self.energies[p1] + self.energies[p2]\n",
    "        x = np.random.uniform(0., 1.)\n",
    "        y = np.random.uniform(0., 0.5)\n",
    "        while y>self.p(x, self.d):\n",
    "            x = np.random.uniform(0., 1.)\n",
    "            y = np.random.uniform(0., 0.5) \n",
    "        self.energies[p1] = x*e_tot\n",
    "        self.energies[p2] = (1-x)*e_tot\n",
    "        return self.energies.copy()\n",
    "    \n",
    "class RandomExchange(EnergyExchangeSystem):\n",
    "    \"\"\"\n",
    "    Particles exchange kinetic energy randomly\n",
    "    \"\"\"\n",
    "    def __init__(self, n, **kwargs):\n",
    "        super().__init__(n, **kwargs)\n",
    "\n",
    "    def step(self):\n",
    "        \"\"\"\n",
    "        Output the next state:\n",
    "        two random particles with kinetic energies e1 and e2 are chosen (e1+e2=etot)\n",
    "        their new kinetic energies are sampled from the following probability distribution:\n",
    "        P(e1) ~ uniform and e2=etot-e1\n",
    "        \"\"\"\n",
    "        p1, p2 = np.random.choice(self.particles_id, 2, replace=False)\n",
    "        e_tot = self.energies[p1] + self.energies[p2]\n",
    "        x = np.random.uniform(0., 1.) \n",
    "        self.energies[p1] = x*e_tot\n",
    "        self.energies[p2] = (1-x)*e_tot\n",
    "        return self.energies.copy()\n",
    "\n",
    "class ConstantExchange(EnergyExchangeSystem):\n",
    "    \"\"\"\n",
    "    Particles exchange kinetic energy randomly\n",
    "    \"\"\"\n",
    "    def __init__(self, n, rate, **kwargs):\n",
    "        super().__init__(n, **kwargs)\n",
    "        self.rate = rate\n",
    "        \n",
    "    def step(self):\n",
    "        \"\"\"\n",
    "        Output the next state:\n",
    "        two random particles with kinetic energies e1 and e2 are chosen (e1+e2=etot)\n",
    "        their new kinetic energies are:\n",
    "        e1 = rate*etot\n",
    "        e2 = (1-rate)*etot\n",
    "        \"\"\"\n",
    "        p1, p2 = np.random.choice(self.particles_id, 2, replace=False)\n",
    "        e_tot = self.energies[p1] + self.energies[p2]\n",
    "        self.energies[p1] = self.rate*e_tot\n",
    "        self.energies[p2] = (1-self.rate)*e_tot\n",
    "        return self.energies.copy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "34c7c1f3",
   "metadata": {},
   "outputs": [
    {
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",
      "text/plain": [
       "<Figure size 400x200 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 276,
       "width": 504
      }
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "14739.934664489014\n"
     ]
    }
   ],
   "source": [
    "n_particles = 5000\n",
    "model = MaxwellBoltzmann(8, n_particles, random_state=20)\n",
    "model.simulate(20000)\n",
    "max_em = 7\n",
    "n_bins = 70\n",
    "\n",
    "energy_partition, bins = model.energies_partitions(max_em, n_bins)\n",
    "fig,ax = plt.subplots(figsize=(4,2))\n",
    "fig.subplots_adjust(left=0, bottom=0, right=1, top=1, wspace=None, hspace=None)\n",
    "ax.bar(bins[:-1], energy_partition/n_particles, width = max_em/n_bins)\n",
    "ax.tick_params(axis='both', which='major', labelsize=8)\n",
    "ax.set_xlabel(r\"$\\frac{E}{E_{mean}}$\")\n",
    "ax.set_ylabel(r\"$n(E)/N$\", rotation=\"horizontal\", loc=\"top\", fontsize=10)\n",
    "ax.grid()\n",
    "plt.show()\n",
    "print(model.calculate_entropy(7, 70))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "4124a60e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x141605110>]"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 413,
       "width": 569
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(model.calculate_entropy_history(4, 100), color=\"k\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "044ab72d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1415b1650>]"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 413,
       "width": 547
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(model.get_particle_history(2000))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fbe71d97",
   "metadata": {},
   "source": [
    "## Make an interactive video"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "e4cbc30d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "5172fe49983542f5b20de98f171ab3a7",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "interactive(children=(IntSlider(value=0, description='i', layout=Layout(width='800px'), max=20000), Output()),…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<function __main__.plotter(i)>"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from ipywidgets import interact, interactive, fixed, interact_manual, Layout\n",
    "import ipywidgets as widgets\n",
    "\n",
    "def plotter(i):\n",
    "    # plt.close()\n",
    "    energy_partition, bins = energy_partition, bins = np.histogram(model.history[i]/np.mean(model.history[i]), range = (0, max_em), bins=n_bins, density=False)\n",
    "    fig,ax = plt.subplots(figsize=(4,2))\n",
    "    fig.subplots_adjust(left=0, bottom=0, right=1, top=1, wspace=None, hspace=None)\n",
    "    ax.bar(bins[:-1], energy_partition/n_particles, width = max_em/n_bins)\n",
    "    ax.tick_params(axis='both', which='major', labelsize=8)\n",
    "    ax.set_xlabel(r\"$\\frac{E}{E_{mean}}$\")\n",
    "    ax.set_ylabel(r\"$n(E)/N$\", rotation=\"horizontal\", loc=\"top\", fontsize=10)\n",
    "    ax.grid()\n",
    "    plt.show()\n",
    "\n",
    "interact(\n",
    "    plotter, \n",
    "    i=widgets.IntSlider(0, 0, len(model.history) - 1, 1, layout=Layout(width='800px'))\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "df32df94",
   "metadata": {},
   "source": [
    "## Shape of $p(x,d)$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "27a9f7a1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 400x200 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 273,
       "width": 565
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "p = lambda x, d: (x-x**2)**((d-2)/2)\n",
    "x = np.linspace(0., 1., 1000)\n",
    "ds = list(range(2,8))\n",
    "ys = [p(x,d)/np.sum(p(x,d)) for d in ds]\n",
    "fig,ax = plt.subplots(figsize=(4,2))\n",
    "fig.subplots_adjust(left=0, bottom=0, right=1, top=1, wspace=None, hspace=None)\n",
    "for d,y in zip(ds, ys):\n",
    "    ax.plot(x,y, label=f\"{d}\")\n",
    "ax.legend()\n",
    "ax.set_xlabel(r\"$x$\")\n",
    "ax.set_ylabel(r\"$(x(1-x))^{\\frac{d-2}{d}}$\", rotation=\"horizontal\", loc=\"top\", fontsize=10)\n",
    "ax.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2fe9a763",
   "metadata": {},
   "source": [
    "## Animation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "id": "6486c69e",
   "metadata": {},
   "outputs": [],
   "source": [
    "n_particles = 5000\n",
    "model = MaxwellBoltzmann(3, n_particles, random_state=20, initial_energies=np.ones(n_particles))\n",
    "nsteps = 20000\n",
    "model.simulate(nsteps)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "id": "6757c90c",
   "metadata": {},
   "outputs": [],
   "source": [
    "for i in range(0,nsteps,200):\n",
    "    out_path = \"./images.nosync/frame\" + str(i).zfill(5) + \".png\"\n",
    "    max_em = 7\n",
    "    n_bins = 70\n",
    "    energy_partition, bins = model.energies_partitions(max_em, n_bins, ind=i)\n",
    "    fig,axs = plt.subplots(nrows=2, ncols=1, figsize=(8,8))\n",
    "    fig.set_facecolor(\"#f4f0e8\")\n",
    "    fig.suptitle(r\"$p(x)\\sim\\sqrt{x-x^2}$\")\n",
    "    #fig.subplots_adjust(left=0, bottom=0, right=1, top=1, wspace=None, hspace=None)\n",
    "    axs[0].set_facecolor(\"#f4f0e8\")\n",
    "    axs[0].bar(bins[:-1], energy_partition/n_particles, width = max_em/n_bins, color=\"#383b3e\")\n",
    "    axs[0].tick_params(axis='both', which='major', labelsize=8)\n",
    "    axs[0].set_xlabel(r\"${E}/{E_{mean}}$\", fontsize=15)\n",
    "    axs[0].set_ylabel(r\"$n(E)/N$\", rotation=\"vertical\", fontsize=15)\n",
    "    #axs[0].set_ylim(0,0.09)\n",
    "    #axs[0].grid()\n",
    "    axs[1].set_facecolor(\"#f4f0e8\")\n",
    "    axs[1].plot(model.calculate_entropy_history(max_em, n_bins), color=\"#383b3e\", linewidth=2)\n",
    "    axs[1].scatter(i,model.calculate_entropy(max_em, n_bins, i), c=\"r\", s=100)\n",
    "    axs[1].set_xlabel(\"Simulation time\", fontsize=15)\n",
    "    axs[1].set_ylabel(\"Entropy\", rotation=\"vertical\", fontsize=15)\n",
    "    #axs[1].grid()\n",
    "    plt.savefig(out_path, bbox_inches=\"tight\", pad_inches=0.5, dpi=300)\n",
    "    plt.close() \n",
    "    #plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "2dfd599e",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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