Files
lammps/doc/html/pair_bpm_spring.html
2025-01-13 14:55:48 +00:00

559 lines
55 KiB
HTML

<!DOCTYPE html>
<html class="writer-html5" lang="en" >
<head>
<meta charset="utf-8" /><meta name="viewport" content="width=device-width, initial-scale=1" />
<meta name="viewport" content="width=device-width, initial-scale=1.0" />
<title>pair_style bpm/spring command &mdash; LAMMPS documentation</title>
<link rel="stylesheet" href="_static/pygments.css" type="text/css" />
<link rel="stylesheet" href="_static/css/theme.css" type="text/css" />
<link rel="stylesheet" href="_static/sphinx-design.min.css" type="text/css" />
<link rel="stylesheet" href="_static/css/lammps.css" type="text/css" />
<link rel="shortcut icon" href="_static/lammps.ico"/>
<link rel="canonical" href="https://docs.lammps.org/pair_bpm_spring.html" />
<!--[if lt IE 9]>
<script src="_static/js/html5shiv.min.js"></script>
<![endif]-->
<script src="_static/jquery.js?v=5d32c60e"></script>
<script src="_static/_sphinx_javascript_frameworks_compat.js?v=2cd50e6c"></script>
<script src="_static/documentation_options.js?v=5929fcd5"></script>
<script src="_static/doctools.js?v=9bcbadda"></script>
<script src="_static/sphinx_highlight.js?v=dc90522c"></script>
<script src="_static/design-tabs.js?v=f930bc37"></script>
<script async="async" src="_static/mathjax/es5/tex-mml-chtml.js?v=cadf963e"></script>
<script src="_static/js/theme.js"></script>
<link rel="index" title="Index" href="genindex.html" />
<link rel="search" title="Search" href="search.html" />
<link rel="next" title="pair_style brownian command" href="pair_brownian.html" />
<link rel="prev" title="pair_style born/gauss command" href="pair_born_gauss.html" />
</head>
<body class="wy-body-for-nav">
<div class="wy-grid-for-nav">
<nav data-toggle="wy-nav-shift" class="wy-nav-side">
<div class="wy-side-scroll">
<div class="wy-side-nav-search" >
<a href="Manual.html">
<img src="_static/lammps-logo.png" class="logo" alt="Logo"/>
</a>
<div class="lammps_version">Version: <b>19 Nov 2024</b></div>
<div class="lammps_release">git info: </div>
<div role="search">
<form id="rtd-search-form" class="wy-form" action="search.html" method="get">
<input type="text" name="q" placeholder="Search docs" aria-label="Search docs" />
<input type="hidden" name="check_keywords" value="yes" />
<input type="hidden" name="area" value="default" />
</form>
</div>
</div><div class="wy-menu wy-menu-vertical" data-spy="affix" role="navigation" aria-label="Navigation menu">
<p class="caption" role="heading"><span class="caption-text">User Guide</span></p>
<ul>
<li class="toctree-l1"><a class="reference internal" href="Intro.html">1. Introduction</a></li>
<li class="toctree-l1"><a class="reference internal" href="Install.html">2. Install LAMMPS</a></li>
<li class="toctree-l1"><a class="reference internal" href="Build.html">3. Build LAMMPS</a></li>
<li class="toctree-l1"><a class="reference internal" href="Run_head.html">4. Run LAMMPS</a></li>
<li class="toctree-l1"><a class="reference internal" href="Commands.html">5. Commands</a></li>
<li class="toctree-l1"><a class="reference internal" href="Packages.html">6. Optional packages</a></li>
<li class="toctree-l1"><a class="reference internal" href="Speed.html">7. Accelerate performance</a></li>
<li class="toctree-l1"><a class="reference internal" href="Howto.html">8. Howto discussions</a></li>
<li class="toctree-l1"><a class="reference internal" href="Examples.html">9. Example scripts</a></li>
<li class="toctree-l1"><a class="reference internal" href="Tools.html">10. Auxiliary tools</a></li>
<li class="toctree-l1"><a class="reference internal" href="Errors.html">11. Errors</a></li>
</ul>
<p class="caption" role="heading"><span class="caption-text">Programmer Guide</span></p>
<ul>
<li class="toctree-l1"><a class="reference internal" href="Library.html">1. LAMMPS Library Interfaces</a></li>
<li class="toctree-l1"><a class="reference internal" href="Python_head.html">2. Use Python with LAMMPS</a></li>
<li class="toctree-l1"><a class="reference internal" href="Modify.html">3. Modifying &amp; extending LAMMPS</a></li>
<li class="toctree-l1"><a class="reference internal" href="Developer.html">4. Information for Developers</a></li>
</ul>
<p class="caption" role="heading"><span class="caption-text">Command Reference</span></p>
<ul class="current">
<li class="toctree-l1"><a class="reference internal" href="commands_list.html">Commands</a></li>
<li class="toctree-l1"><a class="reference internal" href="fixes.html">Fix Styles</a></li>
<li class="toctree-l1"><a class="reference internal" href="computes.html">Compute Styles</a></li>
<li class="toctree-l1 current"><a class="reference internal" href="pairs.html">Pair Styles</a><ul class="current">
<li class="toctree-l2"><a class="reference internal" href="pair_adp.html">pair_style adp command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_agni.html">pair_style agni command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_aip_water_2dm.html">pair_style aip/water/2dm command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_airebo.html">pair_style airebo command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_airebo.html#pair-style-airebo-morse-command">pair_style airebo/morse command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_airebo.html#pair-style-rebo-command">pair_style rebo command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_amoeba.html">pair_style amoeba command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_amoeba.html#pair-style-hippo-command">pair_style hippo command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_atm.html">pair_style atm command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_awpmd.html">pair_style awpmd/cut command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_beck.html">pair_style beck command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_body_nparticle.html">pair_style body/nparticle command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_body_rounded_polygon.html">pair_style body/rounded/polygon command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_body_rounded_polyhedron.html">pair_style body/rounded/polyhedron command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_bop.html">pair_style bop command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_born.html">pair_style born command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_born.html#pair-style-born-coul-long-command">pair_style born/coul/long command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_born.html#pair-style-born-coul-msm-command">pair_style born/coul/msm command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_born.html#pair-style-born-coul-wolf-command">pair_style born/coul/wolf command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_born.html#pair-style-born-coul-dsf-command">pair_style born/coul/dsf command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_born_gauss.html">pair_style born/gauss command</a></li>
<li class="toctree-l2 current"><a class="current reference internal" href="#">pair_style bpm/spring command</a><ul>
<li class="toctree-l3"><a class="reference internal" href="#syntax">Syntax</a></li>
<li class="toctree-l3"><a class="reference internal" href="#examples">Examples</a></li>
<li class="toctree-l3"><a class="reference internal" href="#description">Description</a></li>
<li class="toctree-l3"><a class="reference internal" href="#mixing-shift-table-tail-correction-restart-rrespa-info">Mixing, shift, table, tail correction, restart, rRESPA info</a></li>
<li class="toctree-l3"><a class="reference internal" href="#restrictions">Restrictions</a></li>
<li class="toctree-l3"><a class="reference internal" href="#related-commands">Related commands</a></li>
<li class="toctree-l3"><a class="reference internal" href="#default">Default</a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="pair_brownian.html">pair_style brownian command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_brownian.html#pair-style-brownian-poly-command">pair_style brownian/poly command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_buck.html">pair_style buck command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_buck.html#pair-style-buck-coul-cut-command">pair_style buck/coul/cut command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_buck.html#pair-style-buck-coul-long-command">pair_style buck/coul/long command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_buck.html#pair-style-buck-coul-msm-command">pair_style buck/coul/msm command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_buck6d_coul_gauss.html">pair_style buck6d/coul/gauss/dsf command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_buck6d_coul_gauss.html#pair-style-buck6d-coul-gauss-long-command">pair_style buck6d/coul/gauss/long command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_buck_long.html">pair_style buck/long/coul/long command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_charmm.html">pair_style lj/charmm/coul/charmm command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_charmm.html#pair-style-lj-charmm-coul-charmm-implicit-command">pair_style lj/charmm/coul/charmm/implicit command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_charmm.html#pair-style-lj-charmm-coul-long-command">pair_style lj/charmm/coul/long command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_charmm.html#pair-style-lj-charmm-coul-msm-command">pair_style lj/charmm/coul/msm command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_charmm.html#pair-style-lj-charmmfsw-coul-charmmfsh-command">pair_style lj/charmmfsw/coul/charmmfsh command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_charmm.html#pair-style-lj-charmmfsw-coul-long-command">pair_style lj/charmmfsw/coul/long command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_class2.html">pair_style lj/class2 command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_class2.html#pair-style-lj-class2-coul-cut-command">pair_style lj/class2/coul/cut command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_class2.html#pair-style-lj-class2-coul-long-command">pair_style lj/class2/coul/long command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_colloid.html">pair_style colloid command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_comb.html">pair_style comb command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_comb.html#pair-style-comb3-command">pair_style comb3 command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_cosine_squared.html">pair_style cosine/squared command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_coul.html">pair_style coul/cut command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_coul.html#pair-style-coul-cut-global-command">pair_style coul/cut/global command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_coul.html#pair-style-coul-ctip-command">pair_style coul/ctip command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_coul.html#pair-style-coul-debye-command">pair_style coul/debye command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_coul.html#pair-style-coul-dsf-command">pair_style coul/dsf command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_coul.html#pair-style-coul-exclude-command">pair_style coul/exclude command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_coul.html#pair-style-coul-long-command">pair_style coul/long command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_coul.html#pair-style-coul-msm-command">pair_style coul/msm command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_coul.html#pair-style-coul-streitz-command">pair_style coul/streitz command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_coul.html#pair-style-coul-wolf-command">pair_style coul/wolf command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_coul.html#pair-style-tip4p-cut-command">pair_style tip4p/cut command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_coul.html#pair-style-tip4p-long-command">pair_style tip4p/long command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_coul_diel.html">pair_style coul/diel command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_coul_shield.html">pair_style coul/shield command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_coul_slater.html">pair_style coul/slater command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_coul_slater.html#pair-style-coul-slater-cut-command">pair_style coul/slater/cut command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_coul_slater.html#pair-style-coul-slater-long-command">pair_style coul/slater/long command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_coul_tt.html">pair_style coul/tt command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_cs.html">pair_style born/coul/dsf/cs command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_cs.html#pair-style-born-coul-long-cs-command">pair_style born/coul/long/cs command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_cs.html#pair-style-born-coul-wolf-cs-command">pair_style born/coul/wolf/cs command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_cs.html#pair-style-buck-coul-long-cs-command">pair_style buck/coul/long/cs command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_cs.html#pair-style-coul-long-cs-command">pair_style coul/long/cs command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_cs.html#pair-style-coul-wolf-cs-command">pair_style coul/wolf/cs command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_cs.html#pair-style-lj-cut-coul-long-cs-command">pair_style lj/cut/coul/long/cs command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_cs.html#pair-style-lj-class2-coul-long-cs-command">pair_style lj/class2/coul/long/cs command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_dielectric.html">pair_style coul/cut/dielectric command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_dielectric.html#pair-style-coul-long-dielectric-command">pair_style coul/long/dielectric command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_dielectric.html#pair-style-lj-cut-coul-cut-dielectric-command">pair_style lj/cut/coul/cut/dielectric command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_dielectric.html#pair-style-lj-cut-coul-debye-dielectric-command">pair_style lj/cut/coul/debye/dielectric command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_dielectric.html#pair-style-lj-cut-coul-long-dielectric-command">pair_style lj/cut/coul/long/dielectric command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_dielectric.html#pair-style-lj-cut-coul-msm-dielectric-command">pair_style lj/cut/coul/msm/dielectric command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_dielectric.html#pair-style-lj-long-coul-long-dielectric-command">pair_style lj/long/coul/long/dielectric command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_dipole.html">pair_style lj/cut/dipole/cut command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_dipole.html#pair-style-lj-sf-dipole-sf-command">pair_style lj/sf/dipole/sf command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_dipole.html#pair-style-lj-cut-dipole-long-command">pair_style lj/cut/dipole/long command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_dipole.html#pair-style-lj-long-dipole-long-command">pair_style lj/long/dipole/long command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_dpd.html">pair_style dpd command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_dpd.html#pair-style-dpd-tstat-command">pair_style dpd/tstat command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_dpd_coul_slater_long.html">pair_style dpd/coul/slater/long command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_dpd_ext.html">pair_style dpd/ext command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_dpd_ext.html#pair-style-dpd-ext-tstat-command">pair_style dpd/ext/tstat command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_dpd_fdt.html">pair_style dpd/fdt command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_dpd_fdt.html#pair-style-dpd-fdt-energy-command">pair_style dpd/fdt/energy command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_drip.html">pair_style drip command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_dsmc.html">pair_style dsmc command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_e3b.html">pair_style e3b command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_eam.html">pair_style eam command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_eam.html#pair-style-eam-alloy-command">pair_style eam/alloy command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_eam.html#pair-style-eam-cd-command">pair_style eam/cd command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_eam.html#pair-style-eam-cd-old-command">pair_style eam/cd/old command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_eam.html#pair-style-eam-fs-command">pair_style eam/fs command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_eam.html#pair-style-eam-he-command">pair_style eam/he command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_edip.html">pair_style edip command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_edip.html#pair-style-edip-multi-command">pair_style edip/multi command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_eff.html">pair_style eff/cut command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_eim.html">pair_style eim command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_exp6_rx.html">pair_style exp6/rx command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_extep.html">pair_style extep command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_fep_soft.html">pair_style lj/cut/soft command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_fep_soft.html#pair-style-lj-cut-coul-cut-soft-command">pair_style lj/cut/coul/cut/soft command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_fep_soft.html#pair-style-lj-cut-coul-long-soft-command">pair_style lj/cut/coul/long/soft command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_fep_soft.html#pair-style-lj-cut-tip4p-long-soft-command">pair_style lj/cut/tip4p/long/soft command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_fep_soft.html#pair-style-lj-charmm-coul-long-soft-command">pair_style lj/charmm/coul/long/soft command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_fep_soft.html#pair-style-lj-class2-soft-command">pair_style lj/class2/soft command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_fep_soft.html#pair-style-lj-class2-coul-cut-soft-command">pair_style lj/class2/coul/cut/soft command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_fep_soft.html#pair-style-lj-class2-coul-long-soft-command">pair_style lj/class2/coul/long/soft command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_fep_soft.html#pair-style-coul-cut-soft-command">pair_style coul/cut/soft command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_fep_soft.html#pair-style-coul-long-soft-command">pair_style coul/long/soft command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_fep_soft.html#pair-style-tip4p-long-soft-command">pair_style tip4p/long/soft command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_fep_soft.html#pair-style-morse-soft-command">pair_style morse/soft command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_gauss.html">pair_style gauss command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_gauss.html#pair-style-gauss-cut-command">pair_style gauss/cut command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_gayberne.html">pair_style gayberne command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_gran.html">pair_style gran/hooke command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_gran.html#pair-style-gran-hooke-history-command">pair_style gran/hooke/history command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_gran.html#pair-style-gran-hertz-history-command">pair_style gran/hertz/history command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_granular.html">pair_style granular command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_gromacs.html">pair_style lj/gromacs command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_gromacs.html#pair-style-lj-gromacs-coul-gromacs-command">pair_style lj/gromacs/coul/gromacs command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_gw.html">pair_style gw command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_gw.html#pair-style-gw-zbl-command">pair_style gw/zbl command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_harmonic_cut.html">pair_style harmonic/cut command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_hbond_dreiding.html">pair_style hbond/dreiding/lj command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_hbond_dreiding.html#pair-style-hbond-dreiding-morse-command">pair_style hbond/dreiding/morse command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_hdnnp.html">pair_style hdnnp command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_hybrid.html">pair_style hybrid command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_hybrid.html#pair-style-hybrid-molecular-command">pair_style hybrid/molecular command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_hybrid.html#pair-style-hybrid-overlay-command">pair_style hybrid/overlay command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_hybrid.html#pair-style-hybrid-scaled-command">pair_style hybrid/scaled command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_ilp_graphene_hbn.html">pair_style ilp/graphene/hbn command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_ilp_tmd.html">pair_style ilp/tmd command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_kim.html">pair_style kim command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_kolmogorov_crespi_full.html">pair_style kolmogorov/crespi/full command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_kolmogorov_crespi_z.html">pair_style kolmogorov/crespi/z command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lcbop.html">pair_style lcbop command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lebedeva_z.html">pair_style lebedeva/z command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lepton.html">pair_style lepton command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_line_lj.html">pair_style line/lj command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_list.html">pair_style list command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lj.html">pair_style lj/cut command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lj96.html">pair_style lj96/cut command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lj_cubic.html">pair_style lj/cubic command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lj_cut_coul.html">pair_style lj/cut/coul/cut command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lj_cut_coul.html#pair-style-lj-cut-coul-debye-command">pair_style lj/cut/coul/debye command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lj_cut_coul.html#pair-style-lj-cut-coul-dsf-command">pair_style lj/cut/coul/dsf command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lj_cut_coul.html#pair-style-lj-cut-coul-long-command">pair_style lj/cut/coul/long command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lj_cut_coul.html#pair-style-lj-cut-coul-msm-command">pair_style lj/cut/coul/msm command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lj_cut_coul.html#pair-style-lj-cut-coul-wolf-command">pair_style lj/cut/coul/wolf command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lj_cut_sphere.html">pair_style lj/cut/sphere command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lj_cut_tip4p.html">pair_style lj/cut/tip4p/cut command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lj_cut_tip4p.html#pair-style-lj-cut-tip4p-long-command">pair_style lj/cut/tip4p/long command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lj_expand.html">pair_style lj/expand command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lj_expand.html#pair-style-lj-expand-coul-long-command">pair_style lj/expand/coul/long command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lj_expand_sphere.html">pair_style lj/expand/sphere command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lj_long.html">pair_style lj/long/coul/long command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lj_long.html#pair-style-lj-long-tip4p-long-command">pair_style lj/long/tip4p/long command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lj_relres.html">pair_style lj/relres command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lj_smooth.html">pair_style lj/smooth command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lj_smooth_linear.html">pair_style lj/smooth/linear command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lj_switch3_coulgauss_long.html">pair_style lj/switch3/coulgauss/long command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lj_switch3_coulgauss_long.html#pair-style-mm3-switch3-coulgauss-long-command">pair_style mm3/switch3/coulgauss/long command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_local_density.html">pair_style local/density command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lubricate.html">pair_style lubricate command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lubricate.html#pair-style-lubricate-poly-command">pair_style lubricate/poly command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lubricateU.html">pair_style lubricateU command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lubricateU.html#pair-style-lubricateu-poly-command">pair_style lubricateU/poly command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_mdf.html">pair_style lj/mdf command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_mdf.html#pair-style-buck-mdf-command">pair_style buck/mdf command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_mdf.html#pair-style-lennard-mdf-command">pair_style lennard/mdf command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_meam.html">pair_style meam command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_meam.html#pair-style-meam-ms-command">pair_style meam/ms command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_meam_spline.html">pair_style meam/spline command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_meam_sw_spline.html">pair_style meam/sw/spline command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_mesocnt.html">pair_style mesocnt command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_mesocnt.html#pair-style-mesocnt-viscous-command">pair_style mesocnt/viscous command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_mesodpd.html">pair_style edpd command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_mesodpd.html#pair-style-mdpd-command">pair_style mdpd command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_mesodpd.html#pair-style-mdpd-rhosum-command">pair_style mdpd/rhosum command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_mesodpd.html#pair-style-tdpd-command">pair_style tdpd command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_mgpt.html">pair_style mgpt command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_mie.html">pair_style mie/cut command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_mliap.html">pair_style mliap command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_momb.html">pair_style momb command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_morse.html">pair_style morse command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_morse.html#pair-style-morse-smooth-linear-command">pair_style morse/smooth/linear command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_multi_lucy.html">pair_style multi/lucy command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_multi_lucy_rx.html">pair_style multi/lucy/rx command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_nb3b.html">pair_style nb3b/harmonic command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_nb3b.html#pair-style-nb3b-screened-command">pair_style nb3b/screened command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_nm.html">pair_style nm/cut command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_nm.html#pair-style-nm-cut-split-command">pair_style nm/cut/split command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_nm.html#pair-style-nm-cut-coul-cut-command">pair_style nm/cut/coul/cut command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_nm.html#pair-style-nm-cut-coul-long-command">pair_style nm/cut/coul/long command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_none.html">pair_style none command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_oxdna.html">pair_style oxdna/excv command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_oxdna.html#pair-style-oxdna-stk-command">pair_style oxdna/stk command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_oxdna.html#pair-style-oxdna-hbond-command">pair_style oxdna/hbond command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_oxdna.html#pair-style-oxdna-xstk-command">pair_style oxdna/xstk command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_oxdna.html#pair-style-oxdna-coaxstk-command">pair_style oxdna/coaxstk command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_oxdna2.html">pair_style oxdna2/excv command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_oxdna2.html#pair-style-oxdna2-stk-command">pair_style oxdna2/stk command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_oxdna2.html#pair-style-oxdna2-hbond-command">pair_style oxdna2/hbond command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_oxdna2.html#pair-style-oxdna2-xstk-command">pair_style oxdna2/xstk command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_oxdna2.html#pair-style-oxdna2-coaxstk-command">pair_style oxdna2/coaxstk command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_oxdna2.html#pair-style-oxdna2-dh-command">pair_style oxdna2/dh command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_oxrna2.html">pair_style oxrna2/excv command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_oxrna2.html#pair-style-oxrna2-stk-command">pair_style oxrna2/stk command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_oxrna2.html#pair-style-oxrna2-hbond-command">pair_style oxrna2/hbond command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_oxrna2.html#pair-style-oxrna2-xstk-command">pair_style oxrna2/xstk command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_oxrna2.html#pair-style-oxrna2-coaxstk-command">pair_style oxrna2/coaxstk command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_oxrna2.html#pair-style-oxrna2-dh-command">pair_style oxrna2/dh command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_pace.html">pair_style pace command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_pace.html#pair-style-pace-extrapolation-command">pair_style pace/extrapolation command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_pedone.html">pair_style pedone command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_peri.html">pair_style peri/pmb command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_peri.html#pair-style-peri-lps-command">pair_style peri/lps command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_peri.html#pair-style-peri-ves-command">pair_style peri/ves command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_peri.html#pair-style-peri-eps-command">pair_style peri/eps command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_pod.html">pair_style pod command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_polymorphic.html">pair_style polymorphic command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_python.html">pair_style python command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_quip.html">pair_style quip command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_rann.html">pair_style rann command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_reaxff.html">pair_style reaxff command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_rebomos.html">pair_style rebomos command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_resquared.html">pair_style resquared command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_rheo.html">pair_style rheo command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_rheo_solid.html">pair_style rheo/solid command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_saip_metal.html">pair_style saip/metal command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_sdpd_taitwater_isothermal.html">pair_style sdpd/taitwater/isothermal command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_smatb.html">pair_style smatb command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_smatb.html#pair-style-smatb-single-command">pair_style smatb/single command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_smd_hertz.html">pair_style smd/hertz command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_smd_tlsph.html">pair_style smd/tlsph command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_smd_triangulated_surface.html">pair_style smd/tri_surface command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_smd_ulsph.html">pair_style smd/ulsph command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_smtbq.html">pair_style smtbq command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_snap.html">pair_style snap command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_soft.html">pair_style soft command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_sph_heatconduction.html">pair_style sph/heatconduction command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_sph_idealgas.html">pair_style sph/idealgas command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_sph_lj.html">pair_style sph/lj command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_sph_rhosum.html">pair_style sph/rhosum command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_sph_taitwater.html">pair_style sph/taitwater command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_sph_taitwater_morris.html">pair_style sph/taitwater/morris command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_spica.html">pair_style lj/spica command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_spica.html#pair-style-lj-spica-coul-long-command">pair_style lj/spica/coul/long command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_spica.html#pair-style-lj-spica-coul-msm-command">pair_style lj/spica/coul/msm command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_spin_dipole.html">pair_style spin/dipole/cut command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_spin_dipole.html#pair-style-spin-dipole-long-command">pair_style spin/dipole/long command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_spin_dmi.html">pair_style spin/dmi command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_spin_exchange.html">pair_style spin/exchange command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_spin_exchange.html#pair-style-spin-exchange-biquadratic-command">pair_style spin/exchange/biquadratic command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_spin_magelec.html">pair_style spin/magelec command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_spin_neel.html">pair_style spin/neel command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_srp.html">pair_style srp command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_srp.html#pair-style-srp-react-command">pair_style srp/react command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_sw.html">pair_style sw command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_sw.html#pair-style-sw-mod-command">pair_style sw/mod command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_sw_angle_table.html">pair_style sw/angle/table command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_table.html">pair_style table command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_table_rx.html">pair_style table/rx command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_tersoff.html">pair_style tersoff command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_tersoff.html#pair-style-tersoff-table-command">pair_style tersoff/table command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_tersoff_mod.html">pair_style tersoff/mod command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_tersoff_mod.html#pair-style-tersoff-mod-c-command">pair_style tersoff/mod/c command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_tersoff_zbl.html">pair_style tersoff/zbl command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_thole.html">pair_style thole command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_thole.html#pair-style-lj-cut-thole-long-command">pair_style lj/cut/thole/long command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_threebody_table.html">pair_style threebody/table command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_tracker.html">pair_style tracker command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_tri_lj.html">pair_style tri/lj command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_uf3.html">pair_style uf3 command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_ufm.html">pair_style ufm command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_vashishta.html">pair_style vashishta command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_vashishta.html#pair-style-vashishta-table-command">pair_style vashishta/table command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_wf_cut.html">pair_style wf/cut command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_ylz.html">pair_style ylz command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_yukawa.html">pair_style yukawa command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_yukawa_colloid.html">pair_style yukawa/colloid command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_zbl.html">pair_style zbl command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_zero.html">pair_style zero command</a></li>
</ul>
</li>
<li class="toctree-l1"><a class="reference internal" href="bonds.html">Bond Styles</a></li>
<li class="toctree-l1"><a class="reference internal" href="angles.html">Angle Styles</a></li>
<li class="toctree-l1"><a class="reference internal" href="dihedrals.html">Dihedral Styles</a></li>
<li class="toctree-l1"><a class="reference internal" href="impropers.html">Improper Styles</a></li>
<li class="toctree-l1"><a class="reference internal" href="dumps.html">Dump Styles</a></li>
<li class="toctree-l1"><a class="reference internal" href="fix_modify_atc_commands.html">fix_modify AtC commands</a></li>
<li class="toctree-l1"><a class="reference internal" href="Bibliography.html">Bibliography</a></li>
</ul>
</div>
</div>
</nav>
<section data-toggle="wy-nav-shift" class="wy-nav-content-wrap"><nav class="wy-nav-top" aria-label="Mobile navigation menu" >
<i data-toggle="wy-nav-top" class="fa fa-bars"></i>
<a href="Manual.html">LAMMPS</a>
</nav>
<div class="wy-nav-content">
<div class="rst-content style-external-links">
<div role="navigation" aria-label="Page navigation">
<ul class="wy-breadcrumbs">
<li><a href="Manual.html" class="icon icon-home" aria-label="Home"></a></li>
<li class="breadcrumb-item"><a href="pairs.html">Pair Styles</a></li>
<li class="breadcrumb-item active">pair_style bpm/spring command</li>
<li class="wy-breadcrumbs-aside">
<a href="https://www.lammps.org"><img src="_static/lammps-logo.png" width="64" height="16" alt="LAMMPS Homepage"></a> | <a href="Commands_all.html">Commands</a>
</li>
</ul><div class="rst-breadcrumbs-buttons" role="navigation" aria-label="Sequential page navigation">
<a href="pair_born_gauss.html" class="btn btn-neutral float-left" title="pair_style born/gauss command" accesskey="p"><span class="fa fa-arrow-circle-left" aria-hidden="true"></span> Previous</a>
<a href="pair_brownian.html" class="btn btn-neutral float-right" title="pair_style brownian command" accesskey="n">Next <span class="fa fa-arrow-circle-right" aria-hidden="true"></span></a>
</div>
<hr/>
</div>
<div role="main" class="document" itemscope="itemscope" itemtype="http://schema.org/Article">
<div itemprop="articleBody">
<p><span class="math notranslate nohighlight">\(\renewcommand{\AA}{\text{Å}}\)</span></p>
<section id="pair-style-bpm-spring-command">
<span id="index-0"></span><h1>pair_style bpm/spring command<a class="headerlink" href="#pair-style-bpm-spring-command" title="Link to this heading"></a></h1>
<section id="syntax">
<h2>Syntax<a class="headerlink" href="#syntax" title="Link to this heading"></a></h2>
<div class="highlight-LAMMPS notranslate"><div class="highlight"><pre><span></span><span class="k">pair_style</span><span class="w"> </span><span class="n">bpm</span><span class="o">/</span><span class="n">spring</span><span class="w"> </span><span class="n">keyword</span><span class="w"> </span><span class="n">value</span><span class="w"> </span><span class="n">...</span>
</pre></div>
</div>
<ul>
<li><p>optional keyword = <em>anharmonic</em></p>
<pre class="literal-block"><em>anharmonic</em> value = <em>yes</em> or <em>no</em>
whether forces include the anharmonic term</pre>
</li>
</ul>
</section>
<section id="examples">
<h2>Examples<a class="headerlink" href="#examples" title="Link to this heading"></a></h2>
<div class="highlight-LAMMPS notranslate"><div class="highlight"><pre><span></span><span class="k">pair_style</span><span class="w"> </span><span class="n">bpm</span><span class="o">/</span><span class="n">spring</span>
<span class="k">pair_coeff</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="m">1.0</span><span class="w"> </span><span class="m">1.0</span><span class="w"> </span><span class="m">1.0</span>
<span class="k">pair_style</span><span class="w"> </span><span class="n">bpm</span><span class="o">/</span><span class="n">spring</span><span class="w"> </span><span class="n">anharmonic</span><span class="w"> </span><span class="n">yes</span>
<span class="k">pair_coeff</span><span class="w"> </span><span class="m">1</span><span class="w"> </span><span class="m">1</span><span class="w"> </span><span class="m">1.0</span><span class="w"> </span><span class="m">1.0</span><span class="w"> </span><span class="m">1.0</span><span class="w"> </span><span class="m">50.0</span>
</pre></div>
</div>
</section>
<section id="description">
<h2>Description<a class="headerlink" href="#description" title="Link to this heading"></a></h2>
<div class="versionadded">
<p><span class="versionmodified added">Added in version 4May2022.</span></p>
</div>
<p>Style <em>bpm/spring</em> computes pairwise forces with the formula</p>
<div class="math notranslate nohighlight">
\[F = k (r - r_c) + k_a (r - r_c)^3\]</div>
<p>where <span class="math notranslate nohighlight">\(k\)</span> is a stiffness, <span class="math notranslate nohighlight">\(r_c\)</span> is the cutoff
length, and <span class="math notranslate nohighlight">\(k_a\)</span> is an optional anharmonic cubic prefactor
that can be enabled using the <em>anharmonic</em> keyword. The anharmonic
term may be useful in scenarios that need to prevent large particle overlap.</p>
<p>An additional damping force is also applied to interacting particles.
The force is proportional to the difference in the normal velocity of
particles</p>
<div class="math notranslate nohighlight">
\[F_D = - \gamma w (\hat{r} \bullet \vec{v})\]</div>
<p>where <span class="math notranslate nohighlight">\(\gamma\)</span> is the damping strength, <span class="math notranslate nohighlight">\(\hat{r}\)</span> is the
radial normal vector, <span class="math notranslate nohighlight">\(\vec{v}\)</span> is the velocity difference
between the two particles, and <span class="math notranslate nohighlight">\(w\)</span> is a smoothing factor.
This smoothing factor is constructed such that damping forces go to zero
as particles come out of contact to avoid discontinuities. It is
given by</p>
<div class="math notranslate nohighlight">
\[w = 1.0 - \left( \frac{r}{r_c} \right)^8 .\]</div>
<p>This pair style is designed for use in a spring-based bonded particle
model. It mirrors the construction of the <a class="reference internal" href="bond_bpm_spring.html"><span class="doc">bpm/spring</span></a> bond style.</p>
<p>This pair interaction is always applied to pairs of non-bonded particles
that are within the interaction distance. For pairs of bonded particles
that are within the interaction distance, there is the option to either
include this pair interaction and overlay the pair force over the bond
force or to exclude this pair interaction such that the two particles
only interact via the bond force. See discussion of the <em>overlay/pair</em>
option for BPM bond styles and the <a class="reference internal" href="special_bonds.html"><span class="doc">special_bonds</span></a>
command in the <a class="reference internal" href="Howto_bpm.html"><span class="doc">how to</span></a> page on BPMs for more details.</p>
<p>The following coefficients must be defined for each pair of atom types
via the <a class="reference internal" href="pair_coeff.html"><span class="doc">pair_coeff</span></a> command as in the examples
above, or in the data file or restart files read by the
<a class="reference internal" href="read_data.html"><span class="doc">read_data</span></a> or <a class="reference internal" href="read_restart.html"><span class="doc">read_restart</span></a>
commands, or by mixing as described below:</p>
<ul class="simple">
<li><p><span class="math notranslate nohighlight">\(k\)</span> (force/distance units)</p></li>
<li><p><span class="math notranslate nohighlight">\(r_c\)</span> (distance units)</p></li>
<li><p><span class="math notranslate nohighlight">\(\gamma\)</span> (force/velocity units)</p></li>
</ul>
<div class="versionadded">
<p><span class="versionmodified added">Added in version TBD.</span></p>
</div>
<p>Additionally, if <em>anharmonic</em> is set to <em>yes</em>, a fourth coefficient
must be provided:</p>
<ul class="simple">
<li><p><span class="math notranslate nohighlight">\(k_a\)</span> (force/distance^3 units)</p></li>
</ul>
</section>
<hr class="docutils" />
<section id="mixing-shift-table-tail-correction-restart-rrespa-info">
<h2>Mixing, shift, table, tail correction, restart, rRESPA info<a class="headerlink" href="#mixing-shift-table-tail-correction-restart-rrespa-info" title="Link to this heading"></a></h2>
<p>For atom type pairs I,J and I != J, the A coefficient and cutoff
distance for this pair style can be mixed. A is always mixed via a
<em>geometric</em> rule. The cutoff is mixed according to the pair_modify
mix value. The default mix value is <em>geometric</em>. See the
“pair_modify” command for details.</p>
<p>This pair style does not support the <a class="reference internal" href="pair_modify.html"><span class="doc">pair_modify</span></a>
shift option, since the pair interaction goes to 0.0 at the cutoff.</p>
<p>The <a class="reference internal" href="pair_modify.html"><span class="doc">pair_modify</span></a> table and tail options are not
relevant for this pair style.</p>
<p>This pair style writes its information to <a class="reference internal" href="restart.html"><span class="doc">binary restart files</span></a>, so pair_style and pair_coeff commands do not need to be
specified in an input script that reads a restart file.</p>
<p>This pair style can only be used via the <em>pair</em> keyword of the
<a class="reference internal" href="run_style.html"><span class="doc">run_style respa</span></a> command. It does not support the
<em>inner</em>, <em>middle</em>, <em>outer</em> keywords.</p>
</section>
<hr class="docutils" />
<section id="restrictions">
<h2>Restrictions<a class="headerlink" href="#restrictions" title="Link to this heading"></a></h2>
<p>This pair style is part of the BPM package. It is only enabled if
LAMMPS was built with that package. See the <a class="reference internal" href="Build_package.html"><span class="doc">Build package</span></a> page for more info.</p>
</section>
<section id="related-commands">
<h2>Related commands<a class="headerlink" href="#related-commands" title="Link to this heading"></a></h2>
<p><a class="reference internal" href="pair_coeff.html"><span class="doc">pair_coeff</span></a>, <a class="reference internal" href="bond_bpm_spring.html"><span class="doc">bond bpm/spring</span></a></p>
</section>
<section id="default">
<h2>Default<a class="headerlink" href="#default" title="Link to this heading"></a></h2>
<p>The option defaults are <em>anharmonic</em> = <em>no</em></p>
</section>
</section>
</div>
</div>
<footer><div class="rst-footer-buttons" role="navigation" aria-label="Footer">
<a href="pair_born_gauss.html" class="btn btn-neutral float-left" title="pair_style born/gauss command" accesskey="p" rel="prev"><span class="fa fa-arrow-circle-left" aria-hidden="true"></span> Previous</a>
<a href="pair_brownian.html" class="btn btn-neutral float-right" title="pair_style brownian command" accesskey="n" rel="next">Next <span class="fa fa-arrow-circle-right" aria-hidden="true"></span></a>
</div>
<hr/>
<div role="contentinfo">
<p>&#169; Copyright 2003-2025 Sandia Corporation.</p>
</div>
Built with <a href="https://www.sphinx-doc.org/">Sphinx</a> using a
<a href="https://github.com/readthedocs/sphinx_rtd_theme">theme</a>
provided by <a href="https://readthedocs.org">Read the Docs</a>.
</footer>
</div>
</div>
</section>
</div>
<script>
jQuery(function () {
SphinxRtdTheme.Navigation.enable(false);
});
</script>
</body>
</html>