{ "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 to set the `hostname` and `port number`. In local machines, 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 lunch LAMMPS on a separate terminal\n", "\n", "Generally, using the Socket Interface requires to launch the EM simulation in one terminal and then start the molecular driver simulation in a separate terminal. To avoid openning 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 = 0.004 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: 4.95e-03 seconds, remaining time: 94.03 seconds.\n", "[SingleModeCavity] Completed 2000/20000 [10.0%] steps, time/step: 4.83e-03 seconds, remaining time: 87.96 seconds.\n", "[SingleModeCavity] Completed 3000/20000 [15.0%] steps, time/step: 4.50e-03 seconds, remaining time: 80.91 seconds.\n", "[SingleModeCavity] Completed 4000/20000 [20.0%] steps, time/step: 4.51e-03 seconds, remaining time: 75.15 seconds.\n", "[SingleModeCavity] Completed 5000/20000 [25.0%] steps, time/step: 4.54e-03 seconds, remaining time: 69.97 seconds.\n", "[SingleModeCavity] Completed 6000/20000 [30.0%] steps, time/step: 4.84e-03 seconds, remaining time: 65.72 seconds.\n", "[SingleModeCavity] Completed 7000/20000 [35.0%] steps, time/step: 4.63e-03 seconds, remaining time: 60.91 seconds.\n", "[SingleModeCavity] Completed 8000/20000 [40.0%] steps, time/step: 4.55e-03 seconds, remaining time: 56.02 seconds.\n", "[SingleModeCavity] Completed 9000/20000 [45.0%] steps, time/step: 4.70e-03 seconds, remaining time: 51.38 seconds.\n", "[SingleModeCavity] Completed 10000/20000 [50.0%] steps, time/step: 4.63e-03 seconds, remaining time: 46.67 seconds.\n", "[SingleModeCavity] Completed 11000/20000 [55.0%] steps, time/step: 4.45e-03 seconds, remaining time: 41.82 seconds.\n", "[SingleModeCavity] Completed 12000/20000 [60.0%] steps, time/step: 4.50e-03 seconds, remaining time: 37.08 seconds.\n", "[SingleModeCavity] Completed 13000/20000 [65.0%] steps, time/step: 4.54e-03 seconds, remaining time: 32.39 seconds.\n", "[SingleModeCavity] Completed 14000/20000 [70.0%] steps, time/step: 4.71e-03 seconds, remaining time: 27.80 seconds.\n", "[SingleModeCavity] Completed 15000/20000 [75.0%] steps, time/step: 4.76e-03 seconds, remaining time: 23.20 seconds.\n", "[SingleModeCavity] Completed 16000/20000 [80.0%] steps, time/step: 4.82e-03 seconds, remaining time: 18.61 seconds.\n", "[SingleModeCavity] Completed 17000/20000 [85.0%] steps, time/step: 4.64e-03 seconds, remaining time: 13.95 seconds.\n", "[SingleModeCavity] Completed 18000/20000 [90.0%] steps, time/step: 4.75e-03 seconds, remaining time: 9.31 seconds.\n", "[SingleModeCavity] Completed 19000/20000 [95.0%] steps, time/step: 4.61e-03 seconds, remaining time: 4.65 seconds.\n", "[SingleModeCavity] Completed 20000/20000 [100.0%] steps, time/step: 4.71e-03 seconds, remaining time: 0.00 seconds.\n", "[SocketHub] DISCONNECTED: mol 0 from \n", "[MaxwellLink] Server requested stop/exit, exiting gracefully...\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': -0.123007369475225, 'muy_m_au': 0.414604211280153, 'muz_m_au': -0.133248553303204, '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': -0.20536667495551, 'mux_m_au': -0.201399274240348, 'muy_m_au': 0.631882469775508, 'muz_m_au': -0.20536667495551, 'energy_au': -2.627623458160897, 'temp_K': 279.70744016291457, 'pe_au': -3.488603376947136, 'ke_au': 0.860979918786238}\n", "{'time_au': 62.01206372464483, 'mux_au': -0.282723361978718, 'muy_au': 0.792759099858962, 'muz_au': -0.260936561671233, 'mux_m_au': -0.282723361978718, 'muy_m_au': 0.792759099858962, 'muz_m_au': -0.260936561671233, 'energy_au': -2.62845421472813, 'temp_K': 282.51250869263663, 'pe_au': -3.498068539783659, 'ke_au': 0.869614325055529}\n", "{'time_au': 82.68275163285978, 'mux_au': -0.373779826045237, 'muy_au': 0.897451655095484, 'muz_au': -0.301234691244421, 'mux_m_au': -0.373779826045237, 'muy_m_au': 0.897451655095484, 'muz_m_au': -0.301234691244421, 'energy_au': -2.629616492246351, 'temp_K': 286.2048465594923, 'pe_au': -3.510596366802047, 'ke_au': 0.880979874555696}\n", "{'time_au': 103.35343954107474, 'mux_au': -0.481356436920109, 'muy_au': 0.951785076875844, 'muz_au': -0.331109240937163, 'mux_m_au': -0.481356436920109, 'muy_m_au': 0.951785076875844, 'muz_m_au': -0.331109240937163, 'energy_au': -2.630450708796214, 'temp_K': 289.1237614974894, 'pe_au': -3.520415425316775, 'ke_au': 0.889964716520561}\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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", 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" ] }, "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 }