{ "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": { "collapsed": false }, "outputs": [], "source": [ "%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": { "collapsed": false }, "outputs": [], "source": [ "from pymks_share import DataManager\n", "\n", "\n", "manager = DataManager('pymks.me.gatech.edu')\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "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": { "collapsed": false }, "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": { "collapsed": false }, "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": { "collapsed": false }, "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": { "collapsed": false }, "outputs": [], "source": [ "analysis.n_components = 40\n", "analysis.fit(X_examples)\n" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "data": { "image/png": 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MWO+O/u8eB7kzWgjRVFVaHMLCwggLC2P8+PEcOXKEHTt2sGvXLjZt2oSPjw/9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\nSds8PT2ZOXMmR48eNZlF8+abb+bOO+8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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": { "collapsed": false, "scrolled": false }, "outputs": [ { "data": { "image/png": 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KqaGT9Y6bHT6T2eEzm5x74/5tBpfttsXua/bYxoiJP8aHe76gZJIj2o/sxuyM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\nXzBnc22Voakd1QyK9nB9lJsF3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S89WYESPO9MRhZeLTmnQCAQCARnVQRVVVUxe/bsgOdi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\nw8ODBgYGlJ6eLkk6OTnR8vKyvF6vSktLI/sNDg7q/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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)\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": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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AQECAy/PtCQsL4+WXX+aWW26hsbGRixcvEhkZyQ033AAge8Vqa2tFARyB37gm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\nhf6hhx7i3XffxcvLy6TzHY2o0iboLfqVpS79wzd165j24GJ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27FgAOjo67BZTIxA4A/0q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\n6CcIURcIBAKBoJ/w/wErnxq5X+uDiQAAAABJRU5ErkJggg==\n", "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": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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//3lsv/7+fq1du1bLly/XqlWrNG/ePK1atUoXXHCB1q1bp/7+E3urPRn+wM9x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\nH7YV9iEemz7BfsTEzIJ4OR7ssO3utb0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aaB1whyPeSlsO1ZOtZ5Zz40SuUJ6b4zrHYvpb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\nk7jP0MXUf6Al9rmvodEeu7HFpOm7ojOHDCJ2hOVIjyHrnm2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uuyPmtPaWWMcc131+Zmxw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fXEsqx199H0yTEfckzjdg7zuLcOx/tLPz5yvsJysW/zunkfxNjhfNa7fNmXV9XEWGA+pEc24cTF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KQD\nh065C+7z9LLRg0Hf4/oO339v/LXxx37nf83/zb5NXxZjzV9nSWm6y24KdeD9f1eOHa/bu3vMotun\nqzaWo6Qm1tFFOE/o5/A+QDOzD92+IWxXzMT2PDJaiNuf/DK6fuiu24R8avCWMDaYA30dzyIHzc3F\nY9HNtH1z9JIS9r9d29aF7d01heNPPvNi2Pdr/+f/EbZ/eqE7bNOvumVDrGPivbSsQ45ndMNyfOR1\nvKsr1ksJ+us77nzr4O7ZvT0ea2tbjK3ZXMxD//yT42F7DI5HP27QPVk6P1/0s2bZHih6aro74ti+\nc2tX/m/6crnkZHNvjK337ojt2+7y0AJi+rp440j+z623bQu7fHvTC5s1/nGcYO7leMecV+dcQHTV\n8bpPj0S/IP1k9JjesiH6ybZvKOSKhZHopmPeHzoXc/Egxnk6qTjPYx/zcxC6sXjdp+ksRl7iuE9P\nFMcRH9dbkYsvf/+HYXvbu2Js/H//ejRsn8VcmPMAP+7QB8lc3IJ64BjFeR/zFB1Uw67NDr09bGnc\ndeemsN2fi/2ztLcrbP/izaGw7WOPcx96uTpbo8+M182xm/MbOsViH4N/DGXxfk6z5LjB8bOrvhBb\n80s3nndm/u/H8n9/9P+6v1CuD94SPvf9Hx8L27dgPOOYwzkGc3FuKfaJSZen2He5zfsFzl+4fxqu\nPO+no8ucfbUP90X0zXFunOz780W3Ob7RnczcTT9dN8awZvjIfb0xzphn2N8ahmN/Ou5cj2ZmL71y\nJGx7N6GZ2c5bC/1zK7ykUxgH6OjjmMYcRre9768dLbE92X7JnBSPzfFzHeqY948lbvMCxig6inmP\nxvtBwrzk50t0LCa9orFOWeeMc7q4P7Ar3gPsHjvptt5TvNBCLIPe8BNCCCGEEEIIIYQQYhWhB35C\nCCGEEEIIIYQQQqwiMpf0LoXX1eOrypVYOtCIJYYdLfEV8EX3GnZTfXw9v6oSr+jiXItcroNltVid\najVuCWIzlsuU4ZXeGixXxIoK1EFySW/pCs7NZV91iZ+uj8fK/Bltt7+qIha8uSHWcVdbfHW9vCy+\nNt2AZdPlWNaZtlST7cXv8thcajC/EOuFZQ/XhjpJLKjIiI1a1HlLY2yjxJJe155sa8bG4mL8AGOp\nuioem9c5Nx+PV5ty7kRsoI+wTXJ4TZ59sNP111K0H/s2+76PDUbN9VE4Hvs+3uZPXGdanFaUx9Kx\nDhYQh4wFtp8vyyLOW4Jys87YJ2qrYx5KxJZF/PF4HcxpifzJsiF38Hh+mdgclnrMM2YzroOwrKzz\nJddmJR2t2Mf2Se/7WWXxZWcdMKeV49zzWFLIWGN/ZXz4euC5GTu8Cl4Xcxzj2ufTrLGVOYzt1YYl\nNLMY45Kx5Oslve+ybydyoCv70k1Y0rtUVeiTrJf25sJ1buiOS5S4vInLLuvQ12uqYh3WI7/W5GL7\nVbvtublYn4to+5IS1CnacwbLqRqxrNZf9yKSLecrG9bFJYLsXq0YW+tr4/dz8/H48/OFstbVxM/y\nursy5hAc16ke6O2KZfdzksQ4XxtjnLmgG0sSKyviftaDb19eB3Ua7D9sg7n5leapQln6UAeEbbCY\n7ICpZfV1zJhm3kjkW+TPWnyfOY/X7ftYBca3Kowxl2fnsJ0eSz6XZ03Rr4XSnsLSy6VcoR5aG+M1\nMe/wHovzE9ZJYk6RUni2R09nXL5YVRFzGOuI+3NVxec/nJvyHo3HXsCS3kReqUov26xb+tpcH+OQ\nYyfLxrlS4l7VIn4Ownk0l5cm5iuoQ84p2IeoNfDjPNue52KslGAmz9hinfr5T3I5Pu4fUIeLmFOy\nv3LOQR2VH8M4X+G5WefMvzlcJ+s41BPndJY+d+I8jn2M9+j1yL82H8sixEooWeLTKyGEEEIIIYQQ\nQgghxK8sWtIrhBBCCCGEEEIIIcQqQg/8hBBCCCGEEEIIIYRYReiBnxBCCCGEEEIIIYQQqwg98BNC\nCCGEEEIIIYQQYhWhB35CCCGEEEIIIYQQQqwi9MBPCCGEEEIIIYQQQohVxP8PNxvEpMSM8WMAAAAA\nSUVORK5CYII=\n", "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": { "collapsed": false }, "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 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.10" } }, "nbformat": 4, "nbformat_minor": 0 }