{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Using LAMMPS with iPython and Jupyter" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "LAMMPS can be run interactively using iPython easily. This tutorial shows how to set this up." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Installation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "1. Download the latest version of LAMMPS into a folder (we will calls this `$LAMMPS_DIR` from now on)\n", "2. Compile LAMMPS as a shared library and enable PNG support\n", " ```bash\n", " cd $LAMMPS_DIR/src\n", " python2 Make.py -m mpi -png -a file\n", " make mode=shlib auto\n", " ```\n", "\n", "3. Create a python virtualenv\n", " ```bash\n", " virtualenv testing\n", " source testing/bin/activate\n", " ```\n", "\n", "4. Inside the virtualenv install the lammps package\n", " ```\n", " (testing) cd $LAMMPS_DIR/python\n", " (testing) python install.py\n", " (testing) cd # move to your working directory\n", " ```\n", "\n", "5. Install jupyter and ipython in the virtualenv\n", " ```bash\n", " (testing) pip install ipython jupyter\n", " ```\n", "\n", "6. Run jupyter notebook\n", " ```bash\n", " (testing) jupyter notebook\n", " ```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from lammps import IPyLammps" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "LAMMPS output is captured by PyLammps wrapper\n" ] } ], "source": [ "L = IPyLammps()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "['Neighbor list info ...',\n", " ' 1 neighbor list requests',\n", " ' update every 20 steps, delay 0 steps, check no',\n", " ' max neighbors/atom: 2000, page size: 100000',\n", " ' master list distance cutoff = 2.8',\n", " ' ghost atom cutoff = 2.8',\n", " ' binsize = 1.4, bins = 5 5 5',\n", " 'Setting up Verlet run ...',\n", " ' Unit style : lj',\n", " ' Current step : 0',\n", " ' Time step : 0.005',\n", " 'Memory usage per processor = 2.04486 Mbytes',\n", " 'Step Temp E_pair E_mol TotEng Press ',\n", " ' 0 1.44 -6.7733681 0 -4.6218056 -5.0244179 ',\n", " ' 10 1.1298532 -6.3095502 0 -4.6213906 -2.6058175 ',\n", " 'Loop time of 0.002206 on 1 procs for 10 steps with 256 atoms',\n", " '',\n", " 'Performance: 1958295.528 tau/day, 4533.091 timesteps/s',\n", " '0.0% CPU use with 1 MPI tasks x no OpenMP threads',\n", " '',\n", " 'MPI task timing breakdown:',\n", " 'Section | min time | avg time | max time |%varavg| %total',\n", " '---------------------------------------------------------------',\n", " 'Pair | 0.00203 | 0.00203 | 0.00203 | 0.0 | 92.02',\n", " 'Neigh | 0 | 0 | 0 | 0.0 | 0.00',\n", " 'Comm | 0.000101 | 0.000101 | 0.000101 | 0.0 | 4.58',\n", " 'Output | 7.9998e-06 | 7.9998e-06 | 7.9998e-06 | 0.0 | 0.36',\n", " 'Modify | 4.6e-05 | 4.6e-05 | 4.6e-05 | 0.0 | 2.09',\n", " 'Other | | 2.1e-05 | | | 0.95',\n", " '',\n", " 'Nlocal: 256 ave 256 max 256 min',\n", " 'Histogram: 1 0 0 0 0 0 0 0 0 0',\n", " 'Nghost: 1431 ave 1431 max 1431 min',\n", " 'Histogram: 1 0 0 0 0 0 0 0 0 0',\n", " 'Neighs: 9984 ave 9984 max 9984 min',\n", " 'Histogram: 1 0 0 0 0 0 0 0 0 0',\n", " '',\n", " 'Total # of neighbors = 9984',\n", " 'Ave neighs/atom = 39',\n", " 'Neighbor list builds = 0',\n", " 'Dangerous builds not checked']" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# 3d Lennard-Jones melt\n", "\n", "L.units(\"lj\")\n", "L.atom_style(\"atomic\")\n", "L.atom_modify(\"map array\")\n", "\n", "L.lattice(\"fcc\", 0.8442)\n", "L.region(\"box block\", 0, 4, 0, 4, 0, 4)\n", "L.create_box(1, \"box\")\n", "L.create_atoms(1, \"box\")\n", "L.mass(1, 1.0)\n", "\n", "L.velocity(\"all create\", 1.44, 87287, \"loop geom\")\n", "\n", "L.pair_style(\"lj/cut\", 2.5)\n", "L.pair_coeff(1, 1, 1.0, 1.0, 2.5)\n", "\n", "L.neighbor(0.3, \"bin\")\n", "L.neigh_modify(\"delay 0 every 20 check no\")\n", "\n", "L.fix(\"1 all nve\")\n", "\n", "L.variable(\"fx atom fx\")\n", "\n", "L.run(10)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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SKqQUQAD8CnAPkAVcIA9klGDGio3KwJuAFFEhXhzf2YklS9DVhbY25HJRZhwn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EMP3dj3rSgH/sqcG0HAXJcDHuc5z2uwbUMMv0srGN/zbNe1XNfyPEvaFYS0ajn9ov6ZXMWq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\n6P8HQDginrFaGAAAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "L.image(zoom=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Queries about LAMMPS simulation" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "System(zlo=0.0, xlo=0.0, atom_map='array', atom_style='atomic', dimensions=3, units='lj', yhi=6.71838, style='lj/cut', orthogonal_box=[6.71838, 6.71838, 6.71838], ntypes=1, boundaries='p,p p,p p,p', ylo=0.0, xhi=6.71838, zhi=6.71838, kspace_style='none', natoms=256)" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "L.system" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "256" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "L.system.natoms" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "Communication(comm_layout='uniform', nthreads=1, proc_grid=[1, 1, 1], mpi_version='MPI v3.0', ghost_velocity=False, nprocs=1, comm_style='brick')" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "L.communication" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[{'group': 'all', 'name': '1', 'style': 'nve'}]" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "L.fixes" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[{'group': 'all', 'name': 'thermo_temp', 'style': 'temp'},\n", " {'group': 'all', 'name': 'thermo_press', 'style': 'pressure'},\n", " {'group': 'all', 'name': 'thermo_pe', 'style': 'pe'}]" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "L.computes" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "L.dumps" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[{'name': 'all', 'type': 'static'}]" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "L.groups" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Working with LAMMPS Variables" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [], "source": [ "L.variable(\"a index 2\")" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "{'a': ,\n", " 'fx': }" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "L.variables" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [], "source": [ "L.variable(\"t equal temp\")" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "{'a': ,\n", " 'fx': ,\n", " 't': }" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "L.variables" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "2.0" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import sys\n", "\n", "if sys.version_info < (3, 0):\n", " # In Python 2 'print' is a restricted keyword, which is why you have to use the lmp_print function instead.\n", " x = float(L.lmp_print('\"${a}\"'))\n", "else:\n", " # In Python 3 the print function can be redefined.\n", " # x = float(L.print('\"${a}\"')\")\n", " \n", " # To avoid a syntax error in Python 2 executions of this notebook, this line is packed into an eval statement\n", " x = float(eval(\"L.print('\\\"${a}\\\"')\"))\n", "x" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "1.12985322128803" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "L.variables['t'].value" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "0.564926610644015" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "L.eval(\"v_t/2.0\")" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [], "source": [ "L.variable(\"b index a b c\")" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "'a'" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "L.variables['b'].value" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "0.0" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "L.eval(\"v_b\")" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "['a', 'b', 'c']" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "L.variables['b'].definition" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [], "source": [ "L.variable(\"i loop 10\")" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "1.0" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "L.variables['i'].value" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "2.0" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "L.next(\"i\")\n", "L.variables['i'].value" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "1.6881595982135622" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "L.eval(\"ke\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Accessing Atom data" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "L.atoms[0]" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "['charge',\n", " 'force',\n", " 'id',\n", " 'index',\n", " 'lmp',\n", " 'mass',\n", " 'mol',\n", " 'position',\n", " 'type',\n", " 'velocity']" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "[x for x in dir(L.atoms[0]) if not x.startswith('__')]" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(-0.01214313575723994, -0.030471417344883317, -0.09285770282156164)" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "L.atoms[0].position" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "1" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "L.atoms[0].id" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(-0.2400638079872712, -0.5469382338431744, -1.6999922351145154)" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "L.atoms[0].velocity" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(-0.255291613596607, 4.609419196795491, 11.488556813439391)" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "L.atoms[0].force" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "1" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "L.atoms[0].type" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "L.variables['fx'].value" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "## Accessing thermo data" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[Run(thermo=ThermoData(Step=[0.0, 10.0], TotEng=[-4.6218056, -4.6213906], Temp=[1.44, 1.1298532], E_mol=[0.0, 0.0], E_pair=[-6.7733681, -6.3095502], Press=[-5.0244179, -2.6058175]))]" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "L.runs" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "Run(thermo=ThermoData(Step=[0.0, 10.0], TotEng=[-4.6218056, -4.6213906], Temp=[1.44, 1.1298532], E_mol=[0.0, 0.0], E_pair=[-6.7733681, -6.3095502], Press=[-5.0244179, -2.6058175]))" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" } ], "source": [ "L.runs[0]" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "ThermoData(Step=[0.0, 10.0], TotEng=[-4.6218056, -4.6213906], Temp=[1.44, 1.1298532], E_mol=[0.0, 0.0], E_pair=[-6.7733681, -6.3095502], Press=[-5.0244179, -2.6058175])" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "L.runs[0].thermo" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[1.44, 1.1298532]" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "L.runs[0].thermo.Temp" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "## Saving session to as LAMMPS input file" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": false }, "outputs": [], "source": [ "L.write_script(\"in.output\")" ] }, { "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": "3.5.2" } }, "nbformat": 4, "nbformat_minor": 0 }