{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Phase Transition in Molecular Dynamics Simulation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Authors\n", "[Alexander M. Lohse](https://www.linkedin.com/in/alexander-lohse-7b2a0468), Georgia Tech, MSE\n", "\n", "[Ross J. Verploegh](https://www.linkedin.com/in/rossverploegh), Georgia Tech, ChBE" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Introduction\n", "\n", "Classical molecular mechanics (MM) is a powerful tool in materials engineering. Some examples where molecular dynamics (MD) has been applied include large simulations of protein folding for drug design, diffusion of gas molecules through organic/inorganic nanoporous materials, and phase separation of polymers. Sometimes, however, analyzing the trajectory data (e.g. atom types and atomic coordinates) with respect to some 1-D observable, such as geometric distances or density, does not capture all the important information. The tools within PyMKS allow for analysis of MD trajectory data in an unbiased way.\n", "\n", "This example uses `MKSStructureAnalysis` to look at loading-induced thermodynamic transition of a metal organic framework (ZIF-8) from low to high loading configurations. This example is particularly interesting because it is not clear what 1-D or 2-D reaction coordinate could be used to describe this transition. \n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Molecular Dynamics Simulation of a Thermodynamic Phase Transition\n", "\n", "A molecular dynamics simulation was performed using [LAMMPS Molecular Dynamics Simulator](http://lammps.sandia.gov/). The flexible ZIF-8 framework and nitrogen gas molecules were described using the force fields described in [this manuscript](https://dx.doi.org/10.1021/ja401129h) [1]. For those familiar with the details of MD simulations, this simulation was performed in the NVT-ensemble with a 1.0 femtosecond timestep. The simulation was run for a total of 35 picoseconds with snapshots taken every 15 femtoseconds (total snapshots in trajectory: 2332). " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Data Generation: Mapping MD Data to a Grid\n", "\n", "For use within PyMKS, atomic data needs to be mapped to a 2-D or 3-D grid such that 2-point statistics can be calculated.\n", "\n", "For our example, only the hydrogen coordinates from the ZIF-8 framework are mapped to a fixed 70x70x70 voxel 3-D grid, with a resolution of 0.5 A. For ZIF-8, there are hydrogens in two types of chemical environments: methyl-group hydrogens and those on the imidazole ring. Each grid space is either assigned a 0 (void space=no hydrogen), a 1 (filled by a methyl hydrogen), or a 2 (filled by an imidazole hydrogen). The 3-D grid is then mapped into a 2-D array by summing in the z-direction for visual purposes only; the following analysis of this data could have been applied to the full 3-D data as well." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The below cells just loads the necessary extensions to python for plotting (MatPlotLib) and numerical analysis (NumPy). The data is loaded from a Georgia Tech server." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import pymks\n", "\n", "%matplotlib inline\n", "%load_ext autoreload\n", "%autoreload 2\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from pymks_share import DataManager\n", "\n", "\n", "manager = DataManager('pymks.me.gatech.edu')\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "X = manager.fetch_data('Molecular Dynamics')\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As mentioned, there are 2332 snapshots at 15 femtosecond time intervals on a 70 x 70 pixel 2-D grid." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(2332, 70, 70)\n" ] } ], "source": [ "print X.shape\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can draw what the structures look like with draw_microstructures. From left to right the structure is changing as the system goes through a phase transition. Do you notice a difference?" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pymks.tools import draw_microstructures\n", "sample_size = 10\n", "X_examples = X[::sample_size]\n", "time = np.arange(X_examples.shape[0])[:] * sample_size * 15\n", "\n", "draw_microstructures((X_examples[::40]))\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setup the model\n", "\n", "Now that we have microstructures we use `MKSStructureAnalysis`. We use the `PrimitiveBasis` because we will only have two states, voxel with Hydrogen or a voxel with no Hydrogen. Our data domain ranges from 0 to 255 corresponding to the grayscale (0 is black, 255 is white) as seen in the microstructures drawn above). Basically, we are reducing this from 255 (grayscale) states to a probability between 0 and 1. The statistics are then run on this basis we pass to `MKSStructureAnalysis`. As printed in the output, we are doing an autocorrelation from Hydrogen to Hydrogen (1,1) and a cross-correlation from Hydrogen to Void-Space (1,0). Change the corelations and rerun to see how the PCA plots further down change. Especially, note the increase in variance of PC1 with the addition of the (0,0) correlation." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[(1, 1)]" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from pymks import MKSStructureAnalysis, PrimitiveBasis\n", "from sklearn.decomposition import RandomizedPCA\n", "\n", "\n", "prim_basis = PrimitiveBasis(2, domain=[0, 255])\n", "analysis = MKSStructureAnalysis(basis=prim_basis,correlations=[(1, 1)],\n", " store_correlations=True, periodic_axes=[0,1])\n", "analysis.correlations\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Polynomial Order\n", "\n", "Now that our model is setup we can calculate the statistics and regression with `analysis.fit`. Here we fit the model built above with a subset of our data, `X_examples`. We graph the variance versus the number of components in our PCA model. By default the `PrimitiveBasis` uses a polynomial degree of one." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "analysis.n_components = 40\n", "analysis.fit(X_examples)\n" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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tGDRoEIMGDSIkJKQlc9ldbYHo5C3jD0KItqneAvHUU0+RkZHB2rVr+fTTTwkL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\no80VCBmkFkII67S5ApFXJif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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pymks.tools import draw_component_variance\n", "\n", "\n", "draw_component_variance(analysis.dimension_reducer.explained_variance_ratio_)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Thee graph above shows that over 92% of the statistics are captured with just 2 components." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plotting components\n", "\n", "We now can plot the principle components versus time. We see a distinct correlation beteen PC1 and PC2 and note that PC1 is correlated with time. This likely indicates the time of the phase transition in the simulation. We could next try plotting PC1 vs. various geometric order parameters to see if PC1 (or any other principal component) relates." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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JJIgM1Xrc4kt4dsHim2brrcCN8LC1l9euoKAAFxcXaWkIwN7entDQUPLy8mRj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\ndif7OUD2oat354RfV80RERFRZ+HKUAcTa3ZuV8OUnikeiOi6E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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pymks.tools import draw_components_scatter\n", "from pymks.tools import draw_evolution\n", "\n", "\n", "analysis.fit(X_examples)\n", "pcs_5 = analysis.reduced_fit_data[:, :5].T.reshape((-1))\n", "times_5 = np.tile(time, 5)\n", "\n", "results = np.concatenate((times_5[:, None], pcs_5[:, None]), axis=1)\n", "\n", "labels = ['Component 1', 'Component 2',\n", " 'Component 3', 'Component 4', 'Component 5']\n", "draw_evolution(np.array_split(results, 5), labels, legend_outside=True)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we plot the first 3 principal components and note two general clusterings. This view captures roughly 95% of the variance in our data." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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EsEvBYY0hpjWNdyWCfiV797Z76E0hsFartdb5xAWpdREdFc2S59/mxuRgEvaY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\nB0BCQgJvvPEGn3/+udljJyUlkZycLJaolf7N//zzz+zcuVP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0/Oy5+BmItt+PBbww+ynx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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "draw_components_scatter([analysis.reduced_fit_data[:, :3]],\n", " ['X_example'], legend_outside=True)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's take a look at the two point statistics. We look at the images for principal components 1-4. Each image is the correlation for (1,1), or the Hydrogen probability. " ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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N6zqg/4t1Fod/g/5N12vH787C75aI6/6TatTtmUfM0yPDuHZjJefrfDkPl+PM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\n3pt1+qPoV9QOttEhHSNbPz2ly+74iFn/jIccI3Q8sZ/uRp2OwXMYLkc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WvDCu34HfpTsu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XjMW0G5GduH4NsUjBnXdeUP6PZY93SdHz2h++mJee1nXMMan/HTjfX792g/WAcOQ39Ez+sL8PWd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\nVgvyEVw+2qqXlPEx5Swenw87LO8UOc8j1ngUNfmIdQxXQ/BxX/4UPN/vt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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pymks.tools import draw_correlations\n", "from pymks.tools import draw_components\n", "\n", "\n", "pcs = analysis.components_\n", "draw_components(pcs[:4], fontsize=20)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Sweet, the pictures are pretty. Now it's time to try and figure out if they mean anything...TBD." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## References\n", "\n", "[1] Zhang, Liling, Zhongqiao Hu, and Jianwen Jiang. \"Sorption-induced structural transition of zeolitic imidazolate framework-8: a hybrid molecular simulation study.\" Journal of the American Chemical Society 135.9 (2013): 3722-3728.[doi:10.1021/ja401129h](https://dx.doi.org/10.1021/ja401129h)\n", "\n", "[2] Kalidindi, Surya R., et al. \"Application of data science tools to quantify and distinguish between structures and models in molecular dynamics datasets.\" Nanotechnology 26.34 (2015): 344006. [doi:10.1088/0957-4484/26/34/344006](http://dx.doi.org/10.1088/0957-4484/26/34/344006)" ] }, { "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": "3.6.1" } }, "nbformat": 4, "nbformat_minor": 1 }