{ "cells": [ { "cell_type": "markdown", "id": "38bf69d0", "metadata": {}, "source": [ "# Vibrational strong coupling with liquid water: Unix socket\n", "\n", "Here, we introduce how to use MaxwellLink to run cavity molecular dynamics (CavMD) simulations of liquid water under vibrational strong coupling." ] }, { "cell_type": "markdown", "id": "f71d059c", "metadata": {}, "source": [ "## 1. Setting up the socket communication layer\n", "\n", "Using the TCP socket requires setting the `hostname` and `port number`. On a local machine, we can use the helper function `get_available_host_port()` from **MaxwellLink** to obtain these two pieces of information. Then, we initialize a `SocketHub` instance to provide the socket communication in **MaxwellLink**." ] }, { "cell_type": "code", "execution_count": 1, "id": "2c8428dc", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import maxwelllink as mxl\n", "\n", "address = \"socket_cavmd\"\n", "hub = mxl.SocketHub(unixsocket=address, timeout=10.0, latency=1e-5)" ] }, { "cell_type": "markdown", "id": "3f43f478", "metadata": {}, "source": [ "## 2. Bind Molecule and EM solver to the SocketHub\n", "\n", "Then, we create a `Molecule` instance to define the information of this molecule in the EM simulation environment. We also need to setup the EM solver (**MEEP**) as a classical single mode cavity using `mxl.SingleModeSimulation`." ] }, { "cell_type": "code", "execution_count": 2, "id": "a5f84aa1", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[Init Molecule] Under socket mode, registered molecule with ID 0\n", "Coupling strength: 4.000e-04 au\n" ] } ], "source": [ "# the rescaling 0.73 is to account for the difference between the TIP4P water model verus that from a straightforward\n", "# sum_i Q_i * r_i calculation, where the oxygen atom is used for the position instead of using the M charge site.\n", "# In other words, the dipole and dmudt calculation from MD driver needs to be rescaled by 0.73 to match the real TIP4P\n", "# water model values (used in i-pi CavMD).\n", "molecule = mxl.Molecule(\n", " hub=hub,\n", " rescaling_factor=0.73,\n", ")\n", "\n", "au_to_cminverse = 219474.63\n", "\n", "frequency_au = 3550 / au_to_cminverse\n", "coupling_strength = 4e-4\n", "print(f\"Coupling strength: {coupling_strength:.3e} au\")\n", "damping_au = 0e-4\n", "fs_to_au = 41.3413745758\n", "dt_fs = 0.5\n", "dt_au = dt_fs * fs_to_au\n", "\n", "sim = mxl.SingleModeSimulation(\n", " hub=hub,\n", " molecules=[molecule],\n", " frequency_au=frequency_au,\n", " coupling_strength=coupling_strength,\n", " damping_au=damping_au,\n", " coupling_axis=\"z\",\n", " drive=0.0,\n", " dt_au=dt_au,\n", " record_history=True,\n", " include_dse=True,\n", ")\n" ] }, { "cell_type": "markdown", "id": "20cf3a66", "metadata": {}, "source": [ "## 3. Python way to launch LAMMPS on a separate terminal\n", "\n", "Generally, using the Socket Interface requires launching the EM simulation in one terminal and then starting the molecular driver simulation in a separate terminal. To avoid opening a second terminal, below we introduce a Python helper function `launch_lmp(...)`, which will launch LAMMPS (the `lmp_mxl` binary file) from Python (so we can stay within this notebook to finish this tutorial).\n", "\n", "The LAMMPS code performs a 10-ps NVE liquid water simulation. The `fix mxl` command in the LAMMPS input file communicates between LAMMPS and MaxwellLink.\n", "\n", "In a 2021 MacBook Pro M1, this simulation takes approximately 1.5 minutes." ] }, { "cell_type": "code", "execution_count": 3, "id": "d2c4f2ad", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Launching LMP via subprocess...\n", "If you prefer to run it manually, execute:\n", " ./lmp_input/launch_lmp_xml.sh socket_cavmd \n", "Preparing LAMMPS input files with port socket_cavmd...\n", "LAMMPS (29 Aug 2024 - Update 1)\n", "Reading data file ...\n", " orthogonal box = (0 0 0) to (35.233 35.233 35.233)\n", " 1 by 1 by 1 MPI processor grid\n", " reading atoms ...\n", " 648 atoms\n", " scanning bonds ...\n", " 2 = max bonds/atom\n", " scanning angles ...\n", " 1 = max angles/atom\n", " orthogonal box = (0 0 0) to (35.233 35.233 35.233)\n", " 1 by 1 by 1 MPI processor grid\n", " reading bonds ...\n", " 432 bonds\n", " reading angles ...\n", " 216 angles\n", "Finding 1-2 1-3 1-4 neighbors ...\n", " special bond factors lj: 0 0 0 \n", " special bond factors coul: 0 0 0 \n", " 2 = max # of 1-2 neighbors\n", " 1 = max # of 1-3 neighbors\n", " 1 = max # of 1-4 neighbors\n", " 2 = max # of special neighbors\n", " special bonds CPU = 0.000 seconds\n", " read_data CPU = 0.005 seconds\n", "[MaxwellLink] Will reset initial permanent dipole to zero.\n", "\n", "CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE\n", "\n", "Your simulation uses code contributions which should be cited:\n", "- Type Label Framework: https://doi.org/10.1021/acs.jpcb.3c08419\n", "The log file lists these citations in BibTeX format.\n", "\n", "CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE\n", "\n", "PPPM initialization ...\n", " extracting TIP4P info from pair style\n", " using 12-bit tables for long-range coulomb (src/kspace.cpp:342)\n", " G vector (1/distance) = 0.16615131\n", " grid = 15 15 15\n", " stencil order = 5\n", " estimated absolute RMS force accuracy = 1.3905979e-05\n", " estimated relative force accuracy = 4.9659152e-05\n", " using double precision KISS FFT\n", " 3d grid and FFT values/proc = 10648 3375\n", "WARNING: Communication cutoff 0 is shorter than a bond length based estimate of 4.67. This may lead to errors. (src/comm.cpp:730)\n", "WARNING: Increasing communication cutoff to 21.065072 for TIP4P pair style (src/KSPACE/pair_lj_cut_tip4p_long.cpp:497)\n", "Generated 0 of 1 mixed pair_coeff terms from geometric mixing rule\n", "Neighbor list info ...\n", " update: every = 1 steps, delay = 0 steps, check = yes\n", " max neighbors/atom: 2000, page size: 100000\n", " master list distance cutoff = 19.563145\n", " ghost atom cutoff = 21.065072\n", " binsize = 9.7815724, bins = 4 4 4\n", " 1 neighbor lists, perpetual/occasional/extra = 1 0 0\n", " (1) pair lj/cut/tip4p/long, perpetual\n", " attributes: half, newton on\n", " pair build: half/bin/newton\n", " stencil: half/bin/3d\n", " bin: standard\n", "Setting up Verlet run ...\n", " Unit style : electron\n", " Current step : 0\n", " Time step : 0.5\n", "Per MPI rank memory allocation (min/avg/max) = 8.721 | 8.721 | 8.721 Mbytes\n", " Step Temp E_pair E_mol TotEng Press \n", " 0 300 -4.0744255 0.58197053 -2.5704367 71675325 \n", "[SocketHub][MaxwellLink] Assigned a molecular ID: 0\n", "[MaxwellLink] 1 atomic units time in LAMMPS native time units = 0.024188843265864\n", "[MaxwellLink] MaxwellLink uses time step: dt_au = 20.6706872879 -> dt_native (LAMMPS units) = 0.5000000150047\n", "[MaxwellLink] Modified LAMMPS time step from 0.5 to 0.5000000150047 to match MaxwellLink dt!\n", "[MaxwellLink] Make sure all coupled simulations use this time step, after the modification, LAMMPS dt = 0.5000000150047!\n", " CONNECTED: mol 0 <- \n", "[SingleModeCavity] Completed 1000/20000 [5.0%] steps, time/step: 8.63e-03 seconds, remaining time: 163.90 seconds.\n", "[SingleModeCavity] Completed 2000/20000 [10.0%] steps, time/step: 7.25e-03 seconds, remaining time: 142.87 seconds.\n", "[SingleModeCavity] Completed 3000/20000 [15.0%] steps, time/step: 5.54e-03 seconds, remaining time: 121.33 seconds.\n", "[SingleModeCavity] Completed 4000/20000 [20.0%] steps, time/step: 5.15e-03 seconds, remaining time: 106.26 seconds.\n", "[SingleModeCavity] Completed 5000/20000 [25.0%] steps, time/step: 5.62e-03 seconds, remaining time: 96.57 seconds.\n", "[SingleModeCavity] Completed 6000/20000 [30.0%] steps, time/step: 5.55e-03 seconds, remaining time: 88.06 seconds.\n", "[SingleModeCavity] Completed 7000/20000 [35.0%] steps, time/step: 5.31e-03 seconds, remaining time: 79.95 seconds.\n", "[SingleModeCavity] Completed 8000/20000 [40.0%] steps, time/step: 5.12e-03 seconds, remaining time: 72.26 seconds.\n", "[SingleModeCavity] Completed 9000/20000 [45.0%] steps, time/step: 5.33e-03 seconds, remaining time: 65.39 seconds.\n", "[SingleModeCavity] Completed 10000/20000 [50.0%] steps, time/step: 6.16e-03 seconds, remaining time: 59.66 seconds.\n", "[SingleModeCavity] Completed 11000/20000 [55.0%] steps, time/step: 5.56e-03 seconds, remaining time: 53.36 seconds.\n", "[SingleModeCavity] Completed 12000/20000 [60.0%] steps, time/step: 5.33e-03 seconds, remaining time: 47.04 seconds.\n", "[SingleModeCavity] Completed 13000/20000 [65.0%] steps, time/step: 5.78e-03 seconds, remaining time: 41.10 seconds.\n", "[SingleModeCavity] Completed 14000/20000 [70.0%] steps, time/step: 6.03e-03 seconds, remaining time: 35.30 seconds.\n", "[SingleModeCavity] Completed 15000/20000 [75.0%] steps, time/step: 5.52e-03 seconds, remaining time: 29.29 seconds.\n", "[SingleModeCavity] Completed 16000/20000 [80.0%] steps, time/step: 5.14e-03 seconds, remaining time: 23.25 seconds.\n", "[SingleModeCavity] Completed 17000/20000 [85.0%] steps, time/step: 5.27e-03 seconds, remaining time: 17.35 seconds.\n", "[SingleModeCavity] Completed 18000/20000 [90.0%] steps, time/step: 5.12e-03 seconds, remaining time: 11.49 seconds.\n", "[SingleModeCavity] Completed 19000/20000 [95.0%] steps, time/step: 5.14e-03 seconds, remaining time: 5.71 seconds.\n", "[SingleModeCavity] Completed 20000/20000 [100.0%] steps, time/step: 5.25e-03 seconds, remaining time: 0.00 seconds.\n", "[MaxwellLink] Server requested stop/exit, exiting gracefully...\n", "[SocketHub] DISCONNECTED: mol 0 from \n", "[SocketHub] Unlinked unix socket path /tmp/socketmxl_socket_cavmd\n" ] } ], "source": [ "import shlex\n", "import subprocess\n", "import time\n", "\n", "\n", "def launch_lmp(address: str, sleep_time: float = 0.5):\n", " cmd = (\n", " f\"./lmp_input/launch_lmp_xml.sh {address} \"\n", " )\n", " print('Launching LMP via subprocess...')\n", " print('If you prefer to run it manually, execute:')\n", " print(' ' + cmd)\n", " argv = shlex.split(cmd)\n", " proc = subprocess.Popen(argv)\n", " time.sleep(sleep_time)\n", " return proc\n", "\n", "launch_lmp(address)\n", "\n", "sim.run(steps=int(10000/dt_fs)) " ] }, { "cell_type": "markdown", "id": "cdabe7d1", "metadata": {}, "source": [ "## 4. Retrieve molecular simulation data\n", "\n", "After the simulation, we can retrieve molecular simulation data from `molecule.additional_data_history`, a Python list which stores the molecular information sent from the driver code at each step of the simulation." ] }, { "cell_type": "code", "execution_count": 4, "id": "9120e20d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'time_au': 20.670687908214944, 'mux_au': -0.123007369475225, 'muy_au': 0.414604211280153, 'muz_au': -0.133248553303204, 'mux_m_au': -0.083743504583335, 'muy_m_au': 0.292192361378312, 'muz_m_au': -0.093174883966753, 'energy_au': -2.627474698462433, 'temp_K': 279.0533752828051, 'pe_au': -3.486441311034758, 'ke_au': 0.858966612572326}\n", "{'time_au': 41.34137581642989, 'mux_au': -0.201399274240348, 'muy_au': 0.631882469775508, 'muz_au': -0.204716682663896, 'mux_m_au': -0.16227123436699, 'muy_m_au': 0.537016061182097, 'muz_m_au': -0.17332222263984, 'energy_au': -2.627624707595008, 'temp_K': 279.7070342579578, 'pe_au': -3.488603376947136, 'ke_au': 0.860978669352127}\n", "{'time_au': 62.01206372464483, 'mux_au': -0.282722035840802, 'muy_au': 0.7927589995078, 'muz_au': -0.259011239531368, 'mux_m_au': -0.240527314113599, 'muy_m_au': 0.726748878368724, 'muz_m_au': -0.236111142687879, 'energy_au': -2.628456632345338, 'temp_K': 282.51187218589536, 'pe_au': -3.498068998141141, 'ke_au': 0.869612365795803}\n", "{'time_au': 82.68275163285978, 'mux_au': -0.373773373284024, 'muy_au': 0.897451129330399, 'muz_au': -0.298118158967448, 'mux_m_au': -0.324916757567813, 'muy_m_au': 0.858769120646738, 'muz_m_au': -0.281911336374776, 'energy_au': -2.629618990021637, 'temp_K': 286.2043041271342, 'pe_au': -3.510597194892153, 'ke_au': 0.880978204870516}\n", "{'time_au': 103.35343954107474, 'mux_au': -0.481339083214394, 'muy_au': 0.951783491641425, 'muz_au': -0.326950438619441, 'mux_m_au': -0.42262998900059, 'muy_m_au': 0.936133138014046, 'muz_m_au': -0.314324981559974, 'energy_au': -2.630453234281792, 'temp_K': 289.1231692883102, 'pe_au': -3.520416127896925, 'ke_au': 0.889962893615133}\n" ] } ], "source": [ "for data in molecule.additional_data_history[0:5]:\n", " print(data)" ] }, { "cell_type": "markdown", "id": "ae529503", "metadata": {}, "source": [ "## 5. Plot IR spectrum" ] }, { "cell_type": "code", "execution_count": 5, "id": "ebe9c2ed", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from maxwelllink.tools import ir_spectrum\n", "import matplotlib.pyplot as plt\n", "\n", "mux = np.array([ad[\"mux_m_au\"] for ad in molecule.additional_data_history])[1:-1]\n", "muy = np.array([ad[\"muy_m_au\"] for ad in molecule.additional_data_history])[1:-1]\n", "muz = np.array([ad[\"muz_m_au\"] for ad in molecule.additional_data_history])[1:-1]\n", "t = np.array([ad[\"time_au\"] for ad in molecule.additional_data_history])[1:-1]\n", "\n", "plt.figure(figsize=(6, 4))\n", "plt.plot(t, mux, label=\"X\")\n", "plt.plot(t, muy, label=\"Y\")\n", "plt.plot(t, muz, label=\"Z\")\n", "plt.xlabel(\"Time (fs)\")\n", "plt.ylabel(\"Dipole Moment (a.u.)\")\n", "plt.title(\"Dipole Moment vs Time\")\n", "plt.legend()\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "freq, sp_x = ir_spectrum(mux, dt_fs, field_description=\"square\")\n", "freq, sp_y = ir_spectrum(muy, dt_fs, field_description=\"square\")\n", "freq, sp_z = ir_spectrum(muz, dt_fs, field_description=\"square\")\n", "\n", "plt.figure(figsize=(6, 4))\n", "plt.plot(freq, sp_x, label=\"X\")\n", "plt.plot(freq, sp_y, label=\"Y\")\n", "plt.plot(freq, sp_z, label=\"Z\")\n", "plt.xlim(0, 5500)\n", "plt.xlabel(\"Frequency (cm$^{-1}$)\")\n", "plt.ylabel(\"Spectral Power\")\n", "plt.title(\"Infrared Spectrum\")\n", "plt.legend()\n", "plt.tight_layout()\n", "\n", "plt.show()\n", "\n" ] }, { "cell_type": "code", "execution_count": 6, "id": "4e93ca91", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot cavity dynamics\n", "au_to_fs = 41.3413745758\n", "t = np.array(sim.time_history) / au_to_fs\n", "# qc[0] is the z-direction cavity coordinate\n", "qc = np.array([qc[-1] for qc in sim.qc_history])\n", "\n", "freq, sp_qc = ir_spectrum(qc, dt_fs, field_description=\"square\")\n", "\n", "\n", "plt.figure(figsize=(6, 4))\n", "plt.plot(t, qc, label=\"Cavity Coordinate $q_c$\")\n", "plt.xlabel(\"Time (fs)\")\n", "plt.ylabel(\"$q_c$ (au)\")\n", "plt.title(\"Cavity Dynamics\")\n", "plt.legend()\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "\n", "plt.figure(figsize=(6, 4))\n", "plt.plot(freq, sp_qc / np.max(sp_qc), label=\"$q_c$\")\n", "plt.xlim(0, 8000)\n", "plt.xlabel(\"Frequency (cm$^{-1}$)\")\n", "plt.ylabel(\"Spectrum (arb. units)\")\n", "plt.title(\"Photonic Spectrum\")\n", "plt.legend()\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "c96fa3ac", "metadata": {}, "source": [ "## 6. Energy conservation analysis" ] }, { "cell_type": "code", "execution_count": 7, "id": "2d0a2b83", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "energy_molecule = np.array([ad[\"energy_au\"] for ad in molecule.additional_data_history])\n", "energy_tot = np.array(sim.energy_history)\n", "energy_photon = energy_tot - energy_molecule\n", "\n", "plt.figure(figsize=(6, 4))\n", "plt.plot(t, energy_molecule - energy_molecule[0], label=\"Molecule Energy\")\n", "plt.plot(t, energy_tot - energy_tot[0], label=\"Total Energy\")\n", "plt.plot(t, energy_photon - energy_photon[0], label=\"Photon Energy\")\n", "plt.xlabel(\"Time (fs)\")\n", "plt.ylabel(\"Relative energy (au)\")\n", "plt.title(\"Energy conservation\")\n", "plt.legend()\n", "plt.tight_layout()\n", "plt.show()\n" ] } ], "metadata": { "kernelspec": { "display_name": "mxl", "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": "3.13.9" }, "title": "Socket TLS Workflow" }, "nbformat": 4, "nbformat_minor": 5 }