{ "cells": [ { "cell_type": "markdown", "id": "7fb27b941602401d91542211134fc71a", "metadata": {}, "source": [ "## Diffusion coefficient supercell dependence\n", "\n", "Finite-size effects make the diffusion coefficient depend on the size of the simulation cell. This example runs Lennard-Jones argon boxes of different sizes, computes the diffusion coefficient from the mean-squared displacement, and linearly extrapolates the results to the infinite-system limit.\n" ] }, { "cell_type": "code", "execution_count": 1, "id": "9a63283cbaf04dbcab1f6479b197f3a8", "metadata": { "tags": [] }, "outputs": [], "source": [ "from scm.plams import Settings\n", "\n", "\n", "def get_lennard_jones_settings():\n", " s = Settings()\n", " s.input.lennardjones.eps = 3.785e-4\n", " s.input.lennardjones.rmin = 3.81637\n", " s.input.lennardjones.cutoff = 8.0\n", " s.runscript.nproc = 1\n", " return s" ] }, { "cell_type": "markdown", "id": "8dd0d8092fe74a7c96281538738b07e2", "metadata": {}, "source": [ "Set up three argon boxes at the same density and visualize the resulting supercells." ] }, { "cell_type": "code", "execution_count": 2, "id": "72eea5119410473aa328ad9291626812", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "50 Ar atoms, density = 1.0 g/cm^3\n", "150 Ar atoms, density = 1.0 g/cm^3\n", "450 Ar atoms, density = 1.0 g/cm^3\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from scm.plams import Molecule, Atom, packmol, preoptimize, plot_image_grid, view\n", "\n", "sizes = [50, 150, 450]\n", "inverted_L_list = []\n", "density = 1.0 # g/cm^3\n", "\n", "Ar = Molecule()\n", "Ar.add_atom(Atom(symbol=\"Ar\", coords=(0, 0, 0)))\n", "\n", "boxes = []\n", "imgs = {}\n", "for size in sizes:\n", " mol = packmol(Ar, n_molecules=size, density=density)\n", " mol = preoptimize(mol, settings=get_lennard_jones_settings(), maxiterations=50)\n", " boxes.append(mol)\n", " L = mol.lattice[0][0]\n", " inverted_L_list.append(1.0 / L)\n", " print(f\"{size} Ar atoms, density = {density} g/cm^3\")\n", " imgs[f\"{size} Ar atoms\"] = view(mol, height=200, width=200, direction=\"tilt_z\")\n", "\n", "plot_image_grid(imgs, rows=1);" ] }, { "cell_type": "markdown", "id": "8edb47106e1a46a883d545849b8ab81b", "metadata": {}, "source": [ "For each system, run an NVT equilibration, an NVT production simulation, and an MSD analysis. The diffusion coefficients are then fitted as a function of ``1/L``.\n" ] }, { "cell_type": "code", "execution_count": 3, "id": "10185d26023b46108eb7d9f57d49d2b3", "metadata": { "tags": [] }, "outputs": [], "source": [ "D_list = []\n", "temperature = 400\n", "max_correlation_time_fs = 6000\n", "start_time_fit_fs = 3000" ] }, { "cell_type": "code", "execution_count": 4, "id": "8763a12b2bbd4a93a75aff182afb95dc", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[23.03|16:01:20] JOB eq_50 STARTED\n", "[23.03|16:01:20] JOB eq_50 RUNNING\n", "[23.03|16:01:22] JOB eq_50 FINISHED\n", "[23.03|16:01:22] JOB eq_50 SUCCESSFUL\n", "[23.03|16:01:22] JOB prod_50 STARTED\n", "[23.03|16:01:22] JOB prod_50 RUNNING\n", "[23.03|16:01:34] JOB prod_50 FINISHED\n", "[23.03|16:01:34] JOB prod_50 SUCCESSFUL\n", "[23.03|16:01:34] JOB msd_50 STARTED\n", "[23.03|16:01:34] JOB msd_50 RUNNING\n", "[23.03|16:01:34] JOB msd_50 FINISHED\n", "[23.03|16:01:35] JOB msd_50 SUCCESSFUL\n", "[23.03|16:01:35] 50 atoms: D = 2.13e-08 m^2 s^-1\n", "[23.03|16:01:35] JOB eq_150 STARTED\n", "[23.03|16:01:35] JOB eq_150 RUNNING\n", "[23.03|16:01:39] JOB eq_150 FINISHED\n", "[23.03|16:01:39] JOB eq_150 SUCCESSFUL\n", "[23.03|16:01:39] JOB prod_150 STARTED\n", "[23.03|16:01:39] JOB prod_150 RUNNING\n", "[23.03|16:02:07] JOB prod_150 FINISHED\n", "[23.03|16:02:08] JOB prod_150 SUCCESSFUL\n", "[23.03|16:02:08] JOB msd_150 STARTED\n", "[23.03|16:02:08] JOB msd_150 RUNNING\n", "[23.03|16:02:08] JOB msd_150 FINISHED\n", "[23.03|16:02:08] JOB msd_150 SUCCESSFUL\n", "[23.03|16:02:08] 150 atoms: D = 2.39e-08 m^2 s^-1\n", "[23.03|16:02:08] JOB eq_450 STARTED\n", "[23.03|16:02:08] JOB eq_450 RUNNING\n", "[23.03|16:02:21] JOB eq_450 FINISHED\n", "[23.03|16:02:21] JOB eq_450 SUCCESSFUL\n", "[23.03|16:02:21] JOB prod_450 STARTED\n", "[23.03|16:02:21] JOB prod_450 RUNNING\n", "[23.03|16:03:40] JOB prod_450 FINISHED\n", "[23.03|16:03:41] JOB prod_450 SUCCESSFUL\n", "[23.03|16:03:41] JOB msd_450 STARTED\n", "[23.03|16:03:41] JOB msd_450 RUNNING\n", "[23.03|16:03:42] JOB msd_450 FINISHED\n", "[23.03|16:03:42] JOB msd_450 SUCCESSFUL\n", "[23.03|16:03:42] 450 atoms: D = 2.44e-08 m^2 s^-1\n" ] } ], "source": [ "from scm.plams import AMSNVTJob, AMSMSDJob, log\n", "\n", "for size, mol in zip(sizes, boxes):\n", " eq_job = AMSNVTJob(\n", " name=f\"eq_{size}\",\n", " settings=get_lennard_jones_settings(),\n", " molecule=mol,\n", " temperature=temperature,\n", " nsteps=10000,\n", " samplingfreq=500,\n", " thermostat=\"Berendsen\",\n", " tau=100,\n", " timestep=1.0,\n", " writebonds=False,\n", " writecharges=False,\n", " writemolecules=False,\n", " writevelocities=False,\n", " )\n", " eq_job.run()\n", " prod_job = AMSNVTJob.restart_from(\n", " eq_job,\n", " name=f\"prod_{size}\",\n", " nsteps=60000,\n", " samplingfreq=25,\n", " temperature=temperature,\n", " thermostat=\"NHC\",\n", " )\n", " prod_job.run()\n", " msd_job = AMSMSDJob(\n", " prod_job, name=f\"msd_{size}\", max_correlation_time_fs=max_correlation_time_fs\n", " )\n", " msd_job.run()\n", " D = msd_job.results.get_diffusion_coefficient(start_time_fit_fs=start_time_fit_fs)\n", " D_list.append(D)\n", " log(f\"{size} atoms: D = {D:.2e} m^2 s^-1\")" ] }, { "cell_type": "code", "execution_count": 5, "id": "7623eae2785240b9bd12b16a66d81610", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[23.03|16:03:42] Extrapolated (dilute) D: 2.76e-08 m²/s\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "from scm.plams import log\n", "from scm.plams.tools.plot import linear_fit_extrapolate_to_0\n", "\n", "fit_x, fit_y, slope, intercept = linear_fit_extrapolate_to_0(inverted_L_list, D_list)\n", "\n", "dilute_D = intercept\n", "title = f\"Extrapolated (dilute) D: {dilute_D:.2e} m²/s\"\n", "log(title)\n", "\n", "fig, ax = plt.subplots(figsize=(6, 3))\n", "ax.plot(inverted_L_list, D_list, \".\", label=\"Simulation results\")\n", "ax.plot(fit_x, fit_y, label=\"Linear fit\")\n", "ax.set_title(title)\n", "ax.legend()\n", "ax.set_xlabel(\"1/L (Å⁻¹)\")\n", "ax.set_ylabel(\"Diffusion coefficient D (m²/s)\")\n", "ax;" ] } ], "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": "3.8.12" } }, "nbformat": 4, "nbformat_minor": 5 }