{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "In this notebook, we will examine what piezoelectricity is, using a simple model." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# A simple model with 6 charges " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We need charged particles to compute electric fields. Let's build some classes for this:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "class ChargedParticle:\n", " def __init__(self, pos, charge):\n", " self.pos = np.asarray(pos)\n", " self.charge = charge\n", " \n", " def compute_field(self, x, y):\n", " X, Y = np.meshgrid(x, y)\n", " u_i = np.hstack((X.ravel()[:, np.newaxis], Y.ravel()[:, np.newaxis])) - self.pos\n", " r = np.sqrt((X - self.pos[0])**2 + (Y - self.pos[1])**2)\n", " field = ((self.charge * 9e9 / r**2).ravel()[:, np.newaxis] * u_i).reshape(X.shape + (2,))\n", " return field\n", " \n", " def plot_particle(self, ax):\n", " if self.charge > 0:\n", " ax.plot(self.pos[0], self.pos[1], 'or')\n", " else:\n", " ax.plot(self.pos[0], self.pos[1], 'ok')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's build a crystal and its charges:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "x = np.linspace(-2, 2, 100)\n", "y = np.linspace(-2, 2, 80)\n", "Y, X = np.meshgrid(x, y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's now build a couple of charges:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def compute_resulting_field(particles, x, y):\n", " fields = [p.compute_field(x, y) for p in particles]\n", " total_field = np.zeros_like(fields[0])\n", " for field in fields:\n", " total_field += field\n", " return total_field" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "N = 6\n", "particles = [ChargedParticle((np.cos(2 * np.pi / N * i), np.sin(2 * np.pi / N * i)), \n", " (((i + 1) % 2) * 2 - 1)) for i in range(N)]" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[1, -1, 1, -1, 1, -1]" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "[(((i + 1) % 2) * 2 - 1) for i in range(N)]" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true }, "outputs": [], "source": [ "total_field = compute_resulting_field(particles, x, y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To represent the resulting electric field, we will use the `plt.streamplot` feature. We will also plot streamline thicknesses that depends on the maximum field amplitude." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [], "source": [ "lw = np.linalg.norm(total_field, axis=2)\n", "lw /= lw.max()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": true }, "outputs": [], "source": [ "VMAX = 0.5e11" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(-2.0, 2.0)" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAWYAAAEGCAYAAABW0j9MAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = plt.gca()\n", "plt.pcolormesh(x, y, np.linalg.norm(total_field, axis=2), cmap=plt.cm.autumn_r, vmax=VMAX)\n", "plt.colorbar()\n", "plt.streamplot(x, y, total_field[:, :, 0], total_field[:, :, 1], color='blue',\n", " linewidth=10*lw)\n", "for particle in particles:\n", " particle.plot_particle(ax)\n", "plt.xlim(x.min(), x.max())\n", "plt.ylim(y.min(), y.max())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What happens if the particles get now compressed through the movement of the lattice?" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": true }, "outputs": [], "source": [ "particles = [ChargedParticle((np.cos(2 * np.pi / N * i), np.sin(2 * np.pi / N * i) * 0.7), \n", " (((i + 1) % 2) * 2 - 1)) for i in range(N)]" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": true }, "outputs": [], "source": [ "total_field = compute_resulting_field(particles, x, y)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(-2.0, 2.0)" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAWYAAAEGCAYAAABW0j9MAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nWFjUGZZitrCwsKgzLMVsYWFhUWf8D8Ebzj9zfFsPAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = plt.gca()\n", "plt.pcolormesh(x, y, np.linalg.norm(total_field, axis=2), cmap=plt.cm.autumn_r, vmax=VMAX)\n", "plt.colorbar()\n", "plt.streamplot(x, y, total_field[:, :, 0], total_field[:, :, 1], color='blue',\n", " linewidth=10*lw)\n", "for particle in particles:\n", " particle.plot_particle(ax)\n", "plt.xlim(x.min(), x.max())\n", "plt.ylim(y.min(), y.max())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this configuration (deformed configuration), a nonzero bias of the field appears on the axis: an electric field from left to right is created by deforming the position of the atoms. From afar, this field can be represented, at larger space scales, by a [dipole](http://hyperphysics.phy-astr.gsu.edu/hbase/electric/dipole.html). We will see how we can do that in the next section.\n", "\n", "But first, let's do an animation to see that the larger the displacement gets, the bigger the electric bias field on the axis gets." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "from tempfile import NamedTemporaryFile\n", "import base64 \n", "from matplotlib import animation\n", "VIDEO_TAG = \"\"\"\"\"\"\n", "\n", "def anim_to_html(anim):\n", " if not hasattr(anim, '_encoded_video'):\n", " f = NamedTemporaryFile(suffix='.mp4', delete=False)\n", " anim.save(f.name, extra_args=['-vcodec', 'libx264', '-pix_fmt', 'yuv420p'])\n", " f.flush()\n", " video = open(f.name, \"rb\").read()\n", " f.close()\n", " anim._encoded_video = base64.b64encode(video).decode('utf-8')\n", " \n", " return VIDEO_TAG.format(anim._encoded_video)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from IPython.display import HTML\n", "\n", "def display_animation(anim):\n", " plt.close(anim._fig)\n", " return HTML(anim_to_html(anim))" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import matplotlib as mpl" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n" ] }, { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "FRAMES = 25\n", "fig = plt.figure()\n", "ax = fig.add_subplot(111)\n", "cax, kw = mpl.colorbar.make_axes(parents=ax, location='right')\n", "\n", "# animation function. This is called sequentially\n", "def animate(i):\n", " current_displacement = np.linspace(1, 0.1, num=FRAMES)[i]\n", " particles = [ChargedParticle((np.cos(2 * np.pi / N * j), np.sin(2 * np.pi / N * j) * current_displacement), \n", " (((j + 1) % 2) * 2 - 1)) for j in range(N)]\n", " total_field = compute_resulting_field(particles, x, y)\n", " ax.cla()\n", " pcm = ax.pcolormesh(x, y, np.linalg.norm(total_field, axis=2), cmap=plt.cm.autumn_r, vmax=VMAX)\n", " if i == 0:\n", " print(pcm)\n", " #import pdb; pdb.set_trace()\n", " fig.colorbar(pcm, ax=ax, cax=cax)\n", " ax.streamplot(x, y, total_field[:, :, 0], total_field[:, :, 1], color='blue',\n", " linewidth=10*lw)\n", " for particle in particles:\n", " particle.plot_particle(ax)\n", " ax.set_xlim(x.min(), x.max())\n", " ax.set_ylim(y.min(), y.max())\n", "\n", "# call the animator.\n", "anim = animation.FuncAnimation(fig, animate, init_func=lambda : None,\n", " frames=FRAMES, interval=125)\n", "\n", "# call our new function to display the animation\n", "display_animation(anim)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The interpretation of this animation is interesting: the closer the charges get compressed, the more the field looks like a dipole field. To emphasize this resemblance, we will look at a dipole field in the next section." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "While making the above animation, I had trouble to get the axes right. In particular, I learnt that the `colorbar` method needs to be called on a figure and not on axes, because if it does, the it calls `gcf()` which generates a spurious element in the animation." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# From simple charges to a dipole " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's plot a dipole field, in the same manner as above, but only with two particles:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": true }, "outputs": [], "source": [ "particles = [ChargedParticle([-0.5, 0], 1),\n", " ChargedParticle([0.5, 0], -1)]" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": true }, "outputs": [], "source": [ "total_field = compute_resulting_field(particles, x, y)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(-2.0, 2.0)" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAWYAAAEGCAYAAABW0j9MAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = plt.gca()\n", "plt.pcolormesh(x, y, np.linalg.norm(total_field, axis=2), cmap=plt.cm.autumn_r, vmax=VMAX)\n", "plt.colorbar()\n", "plt.streamplot(x, y, total_field[:, :, 0], total_field[:, :, 1], color='blue',\n", " linewidth=10*lw)\n", "for particle in particles:\n", " particle.plot_particle(ax)\n", "plt.xlim(x.min(), x.max())\n", "plt.ylim(y.min(), y.max())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From afar, the previous arrangement of atoms looks indeed like a dipole. So we can replace the previous crystallographic arrangement by a dipole and zoom up one scale." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "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": "3.6.4" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": false } }, "nbformat": 4, "nbformat_minor": 1 }