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<title>pair_style local/density command &mdash; LAMMPS documentation</title>
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<div class="lammps_version">Version: <b>19 Nov 2024</b></div>
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<p class="caption" role="heading"><span class="caption-text">Command Reference</span></p>
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<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"><a class="reference internal" href="pair_bpm_spring.html">pair_style bpm/spring command</a></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 current"><a class="current reference internal" href="#">pair_style local/density 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_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>
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<p><span class="math notranslate nohighlight">\(\renewcommand{\AA}{\text{Å}}\)</span></p>
<section id="pair-style-local-density-command">
<span id="index-0"></span><h1>pair_style local/density command<a class="headerlink" href="#pair-style-local-density-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">style</span><span class="w"> </span><span class="n">arg</span>
</pre></div>
</div>
<ul class="simple">
<li><p>style = <em>local/density</em></p></li>
<li><p>arg = name of file containing tabulated values of local density and the potential</p></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">local</span><span class="o">/</span><span class="n">density</span><span class="w"> </span><span class="n">benzene_water.localdensity.table</span>
<span class="k">pair_style</span><span class="w"> </span><span class="n">hybrid</span><span class="o">/</span><span class="n">overlay</span><span class="w"> </span><span class="n">table</span><span class="w"> </span><span class="n">spline</span><span class="w"> </span><span class="m">500</span><span class="w"> </span><span class="n">local</span><span class="o">/</span><span class="n">density</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="n">local</span><span class="o">/</span><span class="n">density</span><span class="w"> </span><span class="n">benzene_water.localdensity.table</span>
</pre></div>
</div>
</section>
<section id="description">
<h2>Description<a class="headerlink" href="#description" title="Link to this heading"></a></h2>
<p>The local density (LD) potential is a mean-field manybody potential,
and, in some way, a generalization of embedded atom models (EAM). The
name “local density potential” arises from the fact that it assigns an
energy to an atom depending on the number of neighboring atoms of a
given type around it within a predefined spherical volume (i.e., within
the cutoff). The bottom-up coarse-graining (CG) literature suggests
that such potentials can be widely useful in capturing effective
multibody forces in a computationally efficient manner and thus improve
the quality of CG models of implicit solvation <a class="reference internal" href="#sanyal1"><span class="std std-ref">(Sanyal1)</span></a> and phase-segregation in liquid mixtures <a class="reference internal" href="#sanyal2"><span class="std std-ref">(Sanyal2)</span></a>, and provide guidelines to determine the extent of manybody
correlations present in a CG model <a class="reference internal" href="#rosenberger"><span class="std std-ref">(Rosenberger)</span></a>.
The LD potential in LAMMPS is primarily intended to be used as a
corrective potential over traditional pair potentials in bottom-up CG
models via <a class="reference internal" href="pair_hybrid.html"><span class="doc">hybrid/overlay pair style</span></a> with other
explicit pair interaction terms (e.g., tabulated, Lennard-Jones, Morse
etc.). Because the LD potential is not a pair potential per se, it is
implemented simply as a single auxiliary file with all specifications
that will be read upon initialization.</p>
<div class="admonition note">
<p class="admonition-title">Note</p>
<p>Thus when used as the only interaction in the system, there is no
corresponding pair_coeff command and when used with other pair styles using the
hybrid/overlay option, the corresponding pair_coeff command must be supplied
* * as placeholders for the atom types.</p>
</div>
<hr class="docutils" />
<p><strong>System with a single CG atom type:</strong></p>
<p>A system of a single atom type (e.g., LJ argon) with a single local density (LD)
potential would have an energy given by:</p>
<div class="math notranslate nohighlight">
\[U_{LD} = \sum_i F(\rho_i)\]</div>
<p>where <span class="math notranslate nohighlight">\(\rho_i\)</span> is the LD at atom <em>i</em> and <span class="math notranslate nohighlight">\(F(\rho)\)</span> is
similar in spirit to the embedding function used in EAM potentials. The
LD at atom <em>i</em> is given by the sum</p>
<div class="math notranslate nohighlight">
\[\rho_i = \sum_{j \neq i} \varphi(r_{ij})\]</div>
<p>where <span class="math notranslate nohighlight">\(\varphi\)</span> is an indicator function that is one at r=0 and
zero beyond a cutoff distance R2. The choice of the functional form of
<span class="math notranslate nohighlight">\(\varphi\)</span> is somewhat arbitrary, but the following piecewise cubic
function has proven sufficiently general: <a class="reference internal" href="#sanyal1"><span class="std std-ref">(Sanyal1)</span></a>,
<a class="reference internal" href="#sanyal2"><span class="std std-ref">(Sanyal2)</span></a> <a class="reference internal" href="#rosenberger"><span class="std std-ref">(Rosenberger)</span></a></p>
<div class="math notranslate nohighlight">
\[\begin{split}\varphi(r) =
\begin{cases}
1 &amp; r \le R_1 \\
c_0 + c_2r^2 + c_4r^4 + c_6r^6 &amp; r \in (R_1, R_2) \\
0 &amp; r \ge R_2
\end{cases}\end{split}\]</div>
<p>The constants <em>c</em> are chosen so that the indicator function smoothly
interpolates between 1 and 0 between the distances R1 and R2, which are
called the inner and outer cutoffs, respectively. Thus phi satisfies
phi(R1) = 1, phi(R2) = dphi/dr &#64; (r=R1) = dphi/dr &#64; (r=R2) = 0. The embedding
function F(rho) may or may not have a closed-form expression. To maintain
generality, it is practically represented with a spline-interpolated table
over a predetermined range of rho. Outside of that range it simply adopts zero
values at the endpoints.</p>
<p>It can be shown that the total force between two atoms due to the LD potential
takes the form of a pair force, which motivates its designation as a LAMMPS
pair style. Please see <a class="reference internal" href="#sanyal1"><span class="std std-ref">(Sanyal1)</span></a> for details of the derivation.</p>
<hr class="docutils" />
<p><strong>Systems with arbitrary numbers of atom types:</strong></p>
<p>The potential is easily generalized to systems involving multiple atom types:</p>
<div class="math notranslate nohighlight">
\[U_{LD} = \sum_i a_\alpha F(\rho_i)\]</div>
<p>with the LD expressed as</p>
<div class="math notranslate nohighlight">
\[\rho_i = \sum_{j \neq i} b_\beta \varphi(r_{ij})\]</div>
<p>where <span class="math notranslate nohighlight">\(\alpha\)</span> gives the type of atom <em>i</em>, <span class="math notranslate nohighlight">\(\beta\)</span> the
type of atom <em>j</em>, and the coefficients <em>a</em> and <em>b</em> filter for atom
types as specified by the user. <em>a</em> is called the central atom filter as
it determines to which atoms the potential applies; <span class="math notranslate nohighlight">\(a_{\alpha} =
1\)</span> if the LD potential applies to atom type <span class="math notranslate nohighlight">\(\alpha\)</span> else zero. On the
other hand, <em>b</em> is called the neighbor atom filter because it specifies
which atom types to use in the calculation of the LD; <span class="math notranslate nohighlight">\(b_{\beta} =
1\)</span> if atom type <span class="math notranslate nohighlight">\(\beta\)</span> contributes to the LD and zero otherwise.</p>
<div class="admonition note">
<p class="admonition-title">Note</p>
<p>Note that the potentials need not be symmetric with respect to atom
types, which is the reason for two distinct sets of coefficients <em>a</em>
and <em>b</em>. An atom type may contribute to the LD but not the
potential, or to the potential but not the LD. Such decisions are
made by the user and should (ideally) be motivated on physical
grounds for the problem at hand.</p>
</div>
<hr class="docutils" />
<p><strong>General form for implementation in LAMMPS:</strong></p>
<p>Of course, a system with many atom types may have many different possible LD
potentials, each with their own atom type filters, cutoffs, and embedding
functions. The most general form of this potential as implemented in the
pair_style local/density is:</p>
<div class="math notranslate nohighlight">
\[U_{LD} = \sum_k U_{LD}^{(k)} = \sum_i \left[ \sum_k a_\alpha^{(k)} F^{(k)} \left(\rho_i^{(k)}\right) \right]\]</div>
<p>where, <em>k</em> is an index that spans the (arbitrary) number of applied LD
potentials N_LD. Each LD is calculated as before with:</p>
<div class="math notranslate nohighlight">
\[\rho_i^{(k)} = \sum_j b_\beta^{(k)} \varphi^{(k)} (r_{ij})\]</div>
<p>The superscript on the indicator function phi simply indicates that it is
associated with specific values of the cutoff distances R1(k) and R2(k). In
summary, there may be N_LD distinct LD potentials. With each potential type (k),
one must specify:</p>
<ul class="simple">
<li><p>the inner and outer cutoffs as R1 and R2</p></li>
<li><p>the central type filter a(k), where k = 1,2,…N_LD</p></li>
<li><p>the neighbor type filter b(k), where k = 1,2,…N_LD</p></li>
<li><p>the LD potential function F(k)(rho), typically as a table that is later spline-interpolated</p></li>
</ul>
<hr class="docutils" />
<p><strong>Tabulated input file format:</strong></p>
<div class="highlight-none notranslate"><div class="highlight"><pre><span></span>Line 1: comment or blank (ignored)
Line 2: comment or blank (ignored)
Line 3: N_LD N_rho (# of LD potentials and # of tabulated values, single space separated)
Line 4: blank (ignored)
Line 5: R1(k) R2(k) (lower and upper cutoffs, single space separated)
Line 6: central-types (central atom types, single space separated)
Line 7: neighbor-types (neighbor atom types single space separated)
Line 8: rho_min rho_max drho (min, max and diff. in tabulated rho values, single space separated)
Line 9: F(k)(rho_min + 0.drho)
Line 10: F(k)(rho_min + 1.drho)
Line 11: F(k)(rho_min + 2.drho)
...
Line 9+N_rho: F(k)(rho_min + N_rho . drho)
Line 10+N_rho: blank (ignored)
Block 2
Block 3
Block N_LD
</pre></div>
</div>
<p>Lines 5 to 9+N_rho constitute the first block. Thus the input file is separated
(by blank lines) into N_LD blocks each representing a separate LD potential and
each specifying its own upper and lower cutoffs, central and neighbor atoms,
and potential. In general, blank lines anywhere are ignored.</p>
</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>This pair style does not support automatic mixing. For atom type pairs
<span class="math notranslate nohighlight">\(\alpha\)</span>, <span class="math notranslate nohighlight">\(\beta\)</span> and <span class="math notranslate nohighlight">\(\alpha\)</span> != <span class="math notranslate nohighlight">\(\beta\)</span>, even
if LD potentials of type (<span class="math notranslate nohighlight">\(\alpha\)</span>, <span class="math notranslate nohighlight">\(\alpha\)</span>) and
(<span class="math notranslate nohighlight">\(\beta\)</span>, <span class="math notranslate nohighlight">\(\beta\)</span>) are provided, you will need to explicitly
provide LD potential types (<span class="math notranslate nohighlight">\(\alpha\)</span>, <span class="math notranslate nohighlight">\(\beta\)</span>) and
(<span class="math notranslate nohighlight">\(\beta\)</span>, <span class="math notranslate nohighlight">\(\alpha\)</span>) if need be (Here, the notation
(<span class="math notranslate nohighlight">\(\alpha\)</span>, <span class="math notranslate nohighlight">\(\beta\)</span>) means that <span class="math notranslate nohighlight">\(\alpha\)</span> is the central
atom to which the LD potential is applied and <span class="math notranslate nohighlight">\(\beta\)</span> is the
neighbor atom which contributes to the LD potential on <span class="math notranslate nohighlight">\(\alpha\)</span>).</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, table, and tail options.</p>
<p>The local/density pair style does not write its information to <a class="reference internal" href="restart.html"><span class="doc">binary restart files</span></a>, since it is stored in tabulated potential files.
Thus, you need to re-specify the pair_style and pair_coeff commands in
an input script that reads a restart file.</p>
</section>
<hr class="docutils" />
<section id="restrictions">
<h2>Restrictions<a class="headerlink" href="#restrictions" title="Link to this heading"></a></h2>
<p>The local/density pair style is a part of the MANYBODY 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></p>
</section>
<section id="default">
<h2>Default<a class="headerlink" href="#default" title="Link to this heading"></a></h2>
<p>none</p>
<hr class="docutils" />
<p id="sanyal2"><span id="sanyal1"></span><strong>(Sanyal1)</strong> Sanyal and Shell, Journal of Chemical Physics, 2016, 145 (3), 034109.</p>
<p><strong>(Sanyal2)</strong> Sanyal and Shell, Journal of Physical Chemistry B, 122 (21), 5678-5693.</p>
<p id="rosenberger"><strong>(Rosenberger)</strong> Rosenberger, Sanyal, Shell and van der Vegt, Journal of Chemical Physics, 2019, 151 (4), 044111.</p>
</section>
</section>
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