{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "# Landau Energy - Multidimensional X-data Example\n", "Author(s): Paul Miles | Date Created: July 18, 2019\n", "\n", "This example demonstrates using [pymcmcstat](https://github.com/prmiles/pymcmcstat/wiki) with multidimensional input spaces, e.g. functions that depend on two-spatial variables such as $x_1$ and $x_2$. For this particular problem we consider a 6th order Landau energy function, which is used in a wide variety of material science applications. \n", "\n", "Consider the 6th order Landau function:\n", "\n", "$$ u(q;{\\bf P}) = \\alpha_{1}(P_1^2+P_2^2+P_3^2) + \\alpha_{11}(P_1^2 + P_2^2 + P_3^2)^2 + \\alpha_{111}(P_1^6 + P_2^6 + P_3^6) + \\alpha_{12}(P_1^2P_2^2 + P_1^2P_3^2 + P_2^2P_3^2) + \\alpha_{112}(P_1^4(P_2^2 + P_3^2) + P_2^4(P_1^2 + P_3^2) + P_3^4(P_1^2 + P_2^2)) + \\alpha_{123}P_1^2P_2^2P_3^2$$\n", "\n", "where $q = [\\alpha_{1},\\alpha_{11},\\alpha_{111},\\alpha_{12},\\alpha_{112},\\alpha_{123}]$. The Landau energy is a function of 3-dimensional polarization space. For the purpose of this example, we consider the case where $P_1 = 0$.\n", "\n", "Often times we are interested in using information calculated from Density Functional Theory (DFT) calculations in order to inform our continuum approximations, such as our Landau function. For this example, we will assume we have a set of energy calculations corresponding to different values of $P_2$ and $P_3$ which were found using DFT. For more details regarding this type of research, the reader is referred to:\n", "\n", "- Miles, P. R., Leon, L. S., Smith, R. C., Oates, W. S. (2018). Analysis of a Multi-Axial Quantum Informed Ferroelectric Continuum Model: Part 1—Uncertainty Quantification. Journal of Intelligent Material Systems and Structures, 29(13), 2823-2839. https://doi.org/10.1177/1045389X18781023\n", "- Leon, L. S., Smith, R. C., Oates, W. S., Miles, P. R. (2018). Analysis of a Multi-Axial Quantum Informed Ferroelectric Continuum Model: Part 2—Sensitivity Analysis. Journal of Intelligent Material Systems and Structures, 29(13), 2840-2860. https://doi.org/10.1177/1045389X18781024" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1.9.0\n" ] } ], "source": [ "# import required packages\n", "import numpy as np\n", "from pymcmcstat.MCMC import MCMC\n", "import matplotlib.pyplot as plt\n", "from mpl_toolkits.mplot3d import Axes3D\n", "from matplotlib import cm\n", "import seaborn as sns\n", "from pymcmcstat import mcmcplot as mcp\n", "import scipy.io as sio\n", "import pymcmcstat\n", "print(pymcmcstat.__version__)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Define the Landau energy function." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "def landau_energy(q, data):\n", " P = data.xdata[0]\n", " a1, a11, a111, a12, a112, a123 = q\n", " u = a1*((P**2).sum(axis = 1)) + a11*((P**2).sum(axis = 1))**2 + a111*((P**6).sum(axis = 1))\n", " u += a12*(P[:,0]**2*P[:,1]**2 + P[:,0]**2*P[:,2]**2 + P[:,1]**2*P[:,2]**2)\n", " u += a112*(P[:,0]**4*(P[:,1]**2 + P[:,2]**2) + P[:,1]**4*(P[:,0]**2 + P[:,2]**2) + P[:,2]**4*(P[:,0]**2 + P[:,1]**2))\n", " u += a123*P[:,0]**2*P[:,1]**2*P[:,2]**2\n", " return u" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can generate a grid in the $P_2-P_3$ space in order to visualize the model response. The model is evaluated at a particular set of parameter values, and the surface plot shows the general behavior of the energy function." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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