{ "cells": [ { "cell_type": "markdown", "id": "483deb85", "metadata": {}, "source": [ "## Initial imports" ] }, { "cell_type": "code", "execution_count": 1, "id": "8772285b", "metadata": {}, "outputs": [], "source": [ "import scm.plams as plams\n", "import os\n", "import numpy as np" ] }, { "cell_type": "markdown", "id": "013e7b3f", "metadata": {}, "source": [ "## Create initial benzene system" ] }, { "cell_type": "code", "execution_count": 2, "id": "6664073f", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "benzene_box = plams.packmol(\n", " plams.from_smiles(\"c1ccccc1\", forcefield=\"uff\"), density=0.875, n_molecules=40\n", ")\n", "plams.view(benzene_box, width=300, height=300, direction=\"tilt_z\", padding=-2)" ] }, { "cell_type": "markdown", "id": "b5c3a7eb", "metadata": {}, "source": [ "## Equilibration MD simulation\n", "\n", "Short equilibration MD simulation at 300 K for 5 ps with the GAFF force field and automatic atom typing. " ] }, { "cell_type": "code", "execution_count": 3, "id": "bea83db1", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[23.03|11:07:25] JOB equilibration STARTED\n", "[23.03|11:07:25] JOB equilibration RUNNING\n", "[23.03|11:10:52] JOB equilibration FINISHED\n", "[23.03|11:10:52] JOB equilibration SUCCESSFUL\n" ] } ], "source": [ "s = plams.Settings()\n", "s.input.ForceField.Type = \"GAFF\"\n", "s.input.ForceField.AnteChamberIntegration = \"Yes\"\n", "eq_job = plams.AMSNVTJob(\n", " settings=s,\n", " molecule=benzene_box,\n", " name=\"equilibration\",\n", " nsteps=5000,\n", " timestep=1.0,\n", " temperature=300,\n", " thermostat=\"Berendsen\",\n", ")\n", "eq_job.run();" ] }, { "cell_type": "markdown", "id": "53d466cb", "metadata": {}, "source": [ "## Production MD simulation\n", "\n", "Enable the \"Bin log\" for Pressure tensor and Time. This stores these quantities at every time step of the simulation, even if the structure is not stored. It is required to be able to calculate viscosity from the Green-Kubo relation.\n", "\n", "Here, we run a very short MD simulation of 200 ps. Typically, to converge the viscosity you would need longer simulations.\n", "\n", "The time step is quite large at 1 fs. You may want to decrease it (and increase the number of MD steps correspondingly)." ] }, { "cell_type": "code", "execution_count": 4, "id": "324e777e", "metadata": {}, "outputs": [], "source": [ "prod_job = plams.AMSNVTJob.restart_from(\n", " eq_job,\n", " name=\"production\",\n", " nsteps=200000,\n", " timestep=1,\n", " temperature=300,\n", " thermostat=\"NHC\",\n", " tau=100,\n", " binlog_pressuretensor=True,\n", " binlog_time=True,\n", ")" ] }, { "cell_type": "code", "execution_count": null, "id": "dc6f7998", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[23.03|11:22:25] JOB production STARTED\n", "[23.03|11:22:25] JOB production RUNNING\n" ] } ], "source": [ "prod_job.run()" ] }, { "cell_type": "markdown", "id": "d6ea555c", "metadata": {}, "source": [ "## Calculate the viscosity autocorrelation integral" ] }, { "cell_type": "code", "execution_count": null, "id": "23481102", "metadata": {}, "outputs": [], "source": [ "from scm.plams.recipes.md.trajectoryanalysis import AMSViscosityFromBinLogJob\n", "\n", "job = AMSViscosityFromBinLogJob(previous_job=prod_job)\n", "job.run();" ] }, { "cell_type": "markdown", "id": "2cb229c0", "metadata": {}, "source": [ "## Plot the results\n", "\n", "The viscosity is the limiting value of the viscosity integral.\n", "\n", "The viscosity integral **must** converge to a near-constant value. If it is not close to converging, then you should run a longer MD simulation.\n", "\n", "To better estimate the viscosity, a double-exponential function is fitted to the viscosity integral curve. This makes it easier to get a numerical value for the viscosity.\n", "\n", "$\\eta(t) = A(\\lambda (1 - \\exp(-t/\\tau _1) + (1-\\lambda) (1- \\exp(-t/\\tau _2))$\n", "\n", "The parameters $A$, $\\lambda$, $\\tau _1$, and $\\tau _2$ are fitted and available as ``popt[0]``, ``popt[1]``, ``popt[2]``, and ``popt[3]``.\n", "\n" ] }, { "cell_type": "code", "execution_count": null, "id": "7d4ed242", "metadata": {}, "outputs": [], "source": [ "x, viscosity_integral = job.results.get_viscosity_integral()\n", "popt, x_fit, fit_viscosity_integral = job.results.get_double_exponential_fit()" ] }, { "cell_type": "code", "execution_count": null, "id": "aeaacaf9", "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "\n", "fig, ax = plt.subplots()\n", "ax.set_title(f\"Limiting value: {popt[0]:.5f} Pa s\")\n", "ax.plot(x, viscosity_integral, color=\"tab:blue\")\n", "ax.plot(x_fit, fit_viscosity_integral, color=\"tab:red\")\n", "ax.set_xlabel(\"Correlation Time (fs)\")\n", "ax.set_ylabel(\"Viscosity (Pa s)\");" ] }, { "cell_type": "code", "execution_count": null, "id": "b3018a87-597f-49f2-baa6-f02a984e4ae3", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.8.16" } }, "nbformat": 4, "nbformat_minor": 5 }