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lammps/doc/html/fix_ehex.html
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<title>fix ehex command &mdash; LAMMPS documentation</title>
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<div class="lammps_version">Version: <b>19 Nov 2024</b></div>
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<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>
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<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>
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<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 current"><a class="reference internal" href="fixes.html">Fix Styles</a><ul class="current">
<li class="toctree-l2"><a class="reference internal" href="fix_accelerate_cos.html">fix accelerate/cos command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_acks2_reaxff.html">fix acks2/reaxff command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_adapt.html">fix adapt command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_adapt_fep.html">fix adapt/fep command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_add_heat.html">fix add/heat command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_addforce.html">fix addforce command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_addtorque.html">fix addtorque command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_alchemy.html">fix alchemy command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_amoeba_bitorsion.html">fix amoeba/bitorsion command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_amoeba_pitorsion.html">fix amoeba/pitorsion command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_append_atoms.html">fix append/atoms command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_atc.html">fix atc command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_atom_swap.html">fix atom/swap command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_ave_atom.html">fix ave/atom command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_ave_chunk.html">fix ave/chunk command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_ave_correlate.html">fix ave/correlate command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_ave_correlate_long.html">fix ave/correlate/long command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_ave_grid.html">fix ave/grid command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_ave_histo.html">fix ave/histo command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_ave_histo.html#fix-ave-histo-weight-command">fix ave/histo/weight command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_ave_spatial.html">fix ave/spatial command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_ave_spatial_sphere.html">fix ave/spatial/sphere command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_ave_time.html">fix ave/time command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_aveforce.html">fix aveforce command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_balance.html">fix balance command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_bocs.html">fix bocs command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_bond_break.html">fix bond/break command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_bond_create.html">fix bond/create command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_bond_create.html#fix-bond-create-angle-command">fix bond/create/angle command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_bond_react.html">fix bond/react command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_bond_swap.html">fix bond/swap command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_box_relax.html">fix box/relax command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_brownian.html">fix brownian command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_brownian.html#fix-brownian-sphere-command">fix brownian/sphere command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_brownian.html#fix-brownian-asphere-command">fix brownian/asphere command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_charge_regulation.html">fix charge/regulation command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_cmap.html">fix cmap command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_colvars.html">fix colvars command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_controller.html">fix controller command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_damping_cundall.html">fix damping/cundall command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_deform.html">fix deform command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_deform_pressure.html">fix deform/pressure command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_deposit.html">fix deposit command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_dpd_energy.html">fix dpd/energy command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_dpd_source.html">fix edpd/source command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_dpd_source.html#fix-tdpd-source-command">fix tdpd/source command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_drag.html">fix drag command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_drude.html">fix drude command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_drude_transform.html">fix drude/transform/direct command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_drude_transform.html#fix-drude-transform-inverse-command">fix drude/transform/inverse command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_dt_reset.html">fix dt/reset command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_efield.html">fix efield command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_efield.html#fix-efield-tip4p-command">fix efield/tip4p command</a></li>
<li class="toctree-l2 current"><a class="current reference internal" href="#">fix ehex 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="#restart-fix-modify-output-run-start-stop-minimize-info">Restart, fix_modify, output, run start/stop, minimize 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="fix_electrode.html">fix electrode/conp command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_electrode.html#fix-electrode-conq-command">fix electrode/conq command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_electrode.html#fix-electrode-thermo-command">fix electrode/thermo command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_electron_stopping.html">fix electron/stopping command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_electron_stopping.html#fix-electron-stopping-fit-command">fix electron/stopping/fit command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_enforce2d.html">fix enforce2d command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_eos_cv.html">fix eos/cv command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_eos_table.html">fix eos/table command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_eos_table_rx.html">fix eos/table/rx command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_evaporate.html">fix evaporate command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_external.html">fix external command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_ffl.html">fix ffl command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_filter_corotate.html">fix filter/corotate command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_flow_gauss.html">fix flow/gauss command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_freeze.html">fix freeze command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_gcmc.html">fix gcmc command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_gld.html">fix gld command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_gle.html">fix gle command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_gravity.html">fix gravity command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_grem.html">fix grem command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_halt.html">fix halt command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_heat.html">fix heat command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_heat_flow.html">fix heat/flow command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_hyper_global.html">fix hyper/global command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_hyper_local.html">fix hyper/local command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_imd.html">fix imd command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_indent.html">fix indent command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_ipi.html">fix ipi command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_langevin.html">fix langevin command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_langevin_drude.html">fix langevin/drude command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_langevin_eff.html">fix langevin/eff command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_langevin_spin.html">fix langevin/spin command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_lb_fluid.html">fix lb/fluid command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_lb_momentum.html">fix lb/momentum command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_lb_viscous.html">fix lb/viscous command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_lineforce.html">fix lineforce command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_manifoldforce.html">fix manifoldforce command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_mdi_qm.html">fix mdi/qm command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_mdi_qmmm.html">fix mdi/qmmm command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_meso_move.html">fix meso/move command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_mol_swap.html">fix mol/swap command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_momentum.html">fix momentum command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_momentum.html#fix-momentum-chunk-command">fix momentum/chunk command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_move.html">fix move command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_msst.html">fix msst command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_mvv_dpd.html">fix mvv/dpd command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_mvv_dpd.html#fix-mvv-edpd-command">fix mvv/edpd command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_mvv_dpd.html#fix-mvv-tdpd-command">fix mvv/tdpd command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_neb.html">fix neb command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_neb_spin.html">fix neb/spin command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_nh.html">fix nvt command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_nh.html#fix-npt-command">fix npt command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_nh.html#fix-nph-command">fix nph command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_nh_eff.html">fix nvt/eff command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_nh_eff.html#fix-npt-eff-command">fix npt/eff command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_nh_eff.html#fix-nph-eff-command">fix nph/eff command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_nh_uef.html">fix nvt/uef command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_nh_uef.html#fix-npt-uef-command">fix npt/uef command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_nonaffine_displacement.html">fix nonaffine/displacement command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_nph_asphere.html">fix nph/asphere command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_nph_body.html">fix nph/body command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_nph_sphere.html">fix nph/sphere command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_nphug.html">fix nphug command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_npt_asphere.html">fix npt/asphere command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_npt_body.html">fix npt/body command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_npt_cauchy.html">fix npt/cauchy command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_npt_sphere.html">fix npt/sphere command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_numdiff.html">fix numdiff command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_numdiff_virial.html">fix numdiff/virial command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_nve.html">fix nve command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_nve_asphere.html">fix nve/asphere command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_nve_asphere_noforce.html">fix nve/asphere/noforce command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_nve_awpmd.html">fix nve/awpmd command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_nve_body.html">fix nve/body command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_nve_bpm_sphere.html">fix nve/bpm/sphere command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_nve_dot.html">fix nve/dot command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_nve_dotc_langevin.html">fix nve/dotc/langevin command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_nve_eff.html">fix nve/eff command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_nve_limit.html">fix nve/limit command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_nve_line.html">fix nve/line command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_nve_manifold_rattle.html">fix nve/manifold/rattle command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_nve_noforce.html">fix nve/noforce command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_nve_sphere.html">fix nve/sphere command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_nve_spin.html">fix nve/spin command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_nve_tri.html">fix nve/tri command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_nvk.html">fix nvk command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_nvt_asphere.html">fix nvt/asphere command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_nvt_body.html">fix nvt/body command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_nvt_manifold_rattle.html">fix nvt/manifold/rattle command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_nvt_sllod.html">fix nvt/sllod command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_nvt_sllod_eff.html">fix nvt/sllod/eff command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_nvt_sphere.html">fix nvt/sphere command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_oneway.html">fix oneway command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_orient.html">fix orient/fcc command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_orient.html#fix-orient-bcc-command">fix orient/bcc command</a></li>
<li class="toctree-l2"><a class="reference internal" href="fix_orient_eco.html">fix orient/eco command</a></li>
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<p><span class="math notranslate nohighlight">\(\renewcommand{\AA}{\text{Å}}\)</span></p>
<section id="fix-ehex-command">
<span id="index-0"></span><h1>fix ehex command<a class="headerlink" href="#fix-ehex-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">fix </span><span class="nv nv-Identifier">ID</span><span class="w"> </span><span class="nv nv-Identifier">group-ID</span><span class="w"> </span><span class="n">ehex</span><span class="w"> </span><span class="n">nevery</span><span class="w"> </span><span class="n">F</span><span class="w"> </span><span class="n">keyword</span><span class="w"> </span><span class="n">value</span>
</pre></div>
</div>
<ul>
<li><p>ID, group-ID are documented in <a class="reference internal" href="fix.html"><span class="doc">fix</span></a> command</p></li>
<li><p>ehex = style name of this fix command</p></li>
<li><p>nevery = add/subtract heat every this many timesteps</p></li>
<li><p>F = energy flux into the reservoir (energy/time units)</p></li>
<li><p>zero or more keyword/value pairs may be appended to args</p></li>
<li><p>keyword = <em>region</em> or <em>constrain</em> or <em>com</em> or <em>hex</em></p>
<pre class="literal-block"><em>region</em> value = region-ID
region-ID = ID of region (reservoir) atoms must be in for added thermostatting force
<em>constrain</em> value = none
apply the constraint algorithm (SHAKE or RATTLE) again at the end of the timestep
<em>com</em> value = none
rescale all sites of a constrained cluster of atom if its COM is in the reservoir
<em>hex</em> value = none
omit the coordinate correction to recover the HEX algorithm</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="c"># Lennard-Jones, from examples/in.ehex.lj</span>
<span class="k">fix </span><span class="nv nv-Identifier">fnve</span><span class="w"> </span><span class="nv nv-Identifier">all</span><span class="w"> </span><span class="n">nve</span>
<span class="c"># specify regions rhot and rcold</span>
<span class="n">...</span>
<span class="k">fix </span><span class="nv nv-Identifier">fhot</span><span class="w"> </span><span class="nv nv-Identifier">all</span><span class="w"> </span><span class="n">ehex</span><span class="w"> </span><span class="m">1</span><span class="w"> </span><span class="m">0.15</span><span class="w"> </span><span class="k">region </span><span class="nv nv-Identifier">rhot</span>
<span class="k">fix </span><span class="nv nv-Identifier">fcold</span><span class="w"> </span><span class="nv nv-Identifier">all</span><span class="w"> </span><span class="n">ehex</span><span class="w"> </span><span class="m">1</span><span class="w"> </span><span class="o">-</span><span class="m">0.15</span><span class="w"> </span><span class="k">region </span><span class="nv nv-Identifier">rcold</span>
<span class="c"># SPC/E water, from examples/in.ehex.spce</span>
<span class="k">fix </span><span class="nv nv-Identifier">fnve</span><span class="w"> </span><span class="nv nv-Identifier">all</span><span class="w"> </span><span class="n">nve</span>
<span class="c"># specify regions rhot and rcold</span>
<span class="n">...</span>
<span class="k">fix </span><span class="nv nv-Identifier">fhot</span><span class="w"> </span><span class="nv nv-Identifier">all</span><span class="w"> </span><span class="n">ehex</span><span class="w"> </span><span class="m">1</span><span class="w"> </span><span class="m">0.075</span><span class="w"> </span><span class="k">region </span><span class="nv nv-Identifier">rhot</span><span class="w"> </span><span class="n">constrain</span><span class="w"> </span><span class="n">com</span>
<span class="k">fix </span><span class="nv nv-Identifier">fcold</span><span class="w"> </span><span class="nv nv-Identifier">all</span><span class="w"> </span><span class="n">ehex</span><span class="w"> </span><span class="m">1</span><span class="w"> </span><span class="o">-</span><span class="m">0.075</span><span class="w"> </span><span class="k">region </span><span class="nv nv-Identifier">rcold</span><span class="w"> </span><span class="n">constrain</span><span class="w"> </span><span class="n">com</span>
<span class="k">fix </span><span class="nv nv-Identifier">frattle</span><span class="w"> </span><span class="nv nv-Identifier">all</span><span class="w"> </span><span class="n">rattle</span><span class="w"> </span><span class="m">1e-10</span><span class="w"> </span><span class="m">400</span><span class="w"> </span><span class="m">0</span><span class="w"> </span><span class="n">b</span><span class="w"> </span><span class="m">1</span><span class="w"> </span><span class="n">a</span><span class="w"> </span><span class="m">1</span>
</pre></div>
</div>
</section>
<section id="description">
<h2>Description<a class="headerlink" href="#description" title="Link to this heading"></a></h2>
<p>This fix implements the asymmetric version of the enhanced heat
exchange algorithm <a class="reference internal" href="#wirnsberger"><span class="std std-ref">(Wirnsberger)</span></a>. The eHEX algorithm is
an extension of the heat exchange algorithm <a class="reference internal" href="#ikeshoji"><span class="std std-ref">(Ikeshoji)</span></a> and
adds an additional coordinate integration to account for higher-order
truncation terms in the operator splitting. The original HEX
algorithm (implemented as <a class="reference internal" href="fix_heat.html"><span class="doc">fix heat</span></a>) is known to
exhibit a slight energy drift limiting the accessible simulation times
to a few nanoseconds. This issue is greatly improved by the new
algorithm decreasing the energy drift by at least a factor of a
hundred (LJ and SPC/E water) with little computational overhead.</p>
<p>In both algorithms (non-translational) kinetic energy is constantly
swapped between regions (reservoirs) to impose a heat flux onto the
system. The equations of motion are therefore modified if a particle
<span class="math notranslate nohighlight">\(i\)</span> is located inside a reservoir <span class="math notranslate nohighlight">\(\Gamma_k\)</span> where <span class="math notranslate nohighlight">\(k&gt;0\)</span>. We
use <span class="math notranslate nohighlight">\(\Gamma_0\)</span> to label those parts of the simulation box which
are not thermostatted.) The input parameter <em>region-ID</em> of this fix
corresponds to <span class="math notranslate nohighlight">\(k\)</span>. The energy swap is modelled by introducing an
additional thermostatting force to the equations of motion, such that
the time evolution of coordinates and momenta of particle <span class="math notranslate nohighlight">\(i\)</span>
becomes <a class="reference internal" href="#wirnsberger"><span class="std std-ref">(Wirnsberger)</span></a></p>
<div class="math notranslate nohighlight">
\[\begin{split}\dot{\mathbf r}_i &amp;= \mathbf v_i, \\
\dot{\mathbf v}_i &amp;= \frac{\mathbf f_i}{m_i} + \frac{\mathbf g_i}{m_i}.\end{split}\]</div>
<p>The thermostatting force is given by</p>
<div class="math notranslate nohighlight">
\[\begin{split}\mathbf g_i = \begin{cases}
\frac{m_i}{2} \frac{ F_{\Gamma_{k(\mathbf r_i)}}}{ K_{\Gamma_{k(\mathbf r_i)}}}
\left(\mathbf v_i - \mathbf v_{\Gamma_{k(\mathbf r_i)}} \right) &amp; \mbox{$k(\mathbf r_i)&gt; 0$ (inside a reservoir),} \\
0 &amp; \mbox{otherwise, }
\end{cases}\end{split}\]</div>
<p>where <span class="math notranslate nohighlight">\(m_i\)</span> is the mass and <span class="math notranslate nohighlight">\(k(\mathbf r_i)\)</span> maps the particle
position to the respective reservoir. The quantity
<span class="math notranslate nohighlight">\(F_{\Gamma_{k(\mathbf r_i)}}\)</span> corresponds to the input parameter
<em>F</em>, which is the energy flux into the reservoir. Furthermore,
<span class="math notranslate nohighlight">\(K_{\Gamma_{k(\mathbf r_i)}}\)</span> and <span class="math notranslate nohighlight">\(v_{\Gamma_{k(\mathbf r_i)}}\)</span>
denote the non-translational kinetic energy and the center of mass
velocity of that reservoir. The thermostatting force does not affect
the center of mass velocities of the individual reservoirs and the
entire simulation box. A derivation of the equations and details on
the numerical implementation with velocity Verlet in LAMMPS can be
found in reference “(Wirnsberger)”#_Wirnsberger.</p>
<div class="admonition note">
<p class="admonition-title">Note</p>
<p>This fix only integrates the thermostatting force and must be
combined with another integrator, such as <a class="reference internal" href="fix_nve.html"><span class="doc">fix nve</span></a>, to
solve the full equations of motion.</p>
</div>
<p>This fix is different from a thermostat such as <a class="reference internal" href="fix_nh.html"><span class="doc">fix nvt</span></a>
or <a class="reference internal" href="fix_temp_rescale.html"><span class="doc">fix temp/rescale</span></a> in that energy is
added/subtracted continually. Thus if there is not another mechanism
in place to counterbalance this effect, the entire system will heat or
cool continuously.</p>
<div class="admonition note">
<p class="admonition-title">Note</p>
<p>If heat is subtracted from the system too aggressively so that
the groups kinetic energy would go to zero, then LAMMPS will halt
with an error message. Increasing the value of <em>nevery</em> means that
heat is added/subtracted less frequently but in larger portions. The
resulting temperature profile will therefore be the same.</p>
</div>
<p>This fix will default to <a class="reference internal" href="fix_heat.html"><span class="doc">fix_heat</span></a> (HEX algorithm) if
the keyword <em>hex</em> is specified.</p>
<hr class="docutils" />
<p><strong>Compatibility with SHAKE and RATTLE (rigid molecules)</strong>:</p>
<p>This fix is compatible with <a class="reference internal" href="fix_shake.html"><span class="doc">fix shake</span></a> and <a class="reference internal" href="fix_shake.html"><span class="doc">fix rattle</span></a>. If either of these constraining algorithms is
specified in the input script and the keyword <em>constrain</em> is set, the
bond distances will be corrected a second time at the end of the
integration step. It is recommended to specify the keyword <em>com</em> in
addition to the keyword <em>constrain</em>. With this option all sites of a
constrained cluster are rescaled, if its center of mass is located
inside the region. Rescaling all sites of a cluster by the same factor
does not introduce any velocity components along fixed bonds. No
rescaling takes place if the center of mass lies outside the region.</p>
<div class="admonition note">
<p class="admonition-title">Note</p>
<p>You can only use the keyword <em>com</em> along with <em>constrain</em>.</p>
</div>
<p>To achieve the highest accuracy it is recommended to use <a class="reference internal" href="fix_shake.html"><span class="doc">fix rattle</span></a> with the keywords <em>constrain</em> and <em>com</em> as
shown in the second example. Only if RATTLE is employed, the velocity
constraints will be satisfied.</p>
<div class="admonition note">
<p class="admonition-title">Note</p>
<p>Even if RATTLE is used and the keywords <em>com</em> and <em>constrain</em>
are both set, the coordinate constraints will not necessarily be
satisfied up to the target precision. The velocity constraints are
satisfied as long as all sites of a cluster are rescaled (keyword
<em>com</em>) and the cluster does not span adjacent reservoirs. The current
implementation of the eHEX algorithm introduces a small error in the
bond distances, which goes to zero with order three in the
timestep. For example, in a simulation of SPC/E water with a timestep
of 2 fs the maximum relative error in the bond distances was found to
be on the order of <span class="math notranslate nohighlight">\(10^{-7}\)</span> for relatively large
temperature gradients. A higher precision can be achieved by
decreasing the timestep.</p>
</div>
</section>
<hr class="docutils" />
<section id="restart-fix-modify-output-run-start-stop-minimize-info">
<h2>Restart, fix_modify, output, run start/stop, minimize info<a class="headerlink" href="#restart-fix-modify-output-run-start-stop-minimize-info" title="Link to this heading"></a></h2>
<p>No information about this fix is written to <a class="reference internal" href="restart.html"><span class="doc">binary restart files</span></a>. None of the <a class="reference internal" href="fix_modify.html"><span class="doc">fix_modify</span></a> options
are relevant to this fix.</p>
<p>No parameter of this fix can be used with the <em>start/stop</em> keywords of
the <a class="reference internal" href="run.html"><span class="doc">run</span></a> command. This fix is not invoked during <a class="reference internal" href="minimize.html"><span class="doc">energy minimization</span></a>.</p>
</section>
<section id="restrictions">
<h2>Restrictions<a class="headerlink" href="#restrictions" title="Link to this heading"></a></h2>
<p>This fix is part of the RIGID 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="fix_heat.html"><span class="doc">fix heat</span></a>, <a class="reference internal" href="fix_thermal_conductivity.html"><span class="doc">fix thermal/conductivity</span></a>, <a class="reference internal" href="compute_temp.html"><span class="doc">compute temp</span></a>, <a class="reference internal" href="compute_temp_region.html"><span class="doc">compute temp/region</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="ikeshoji"><strong>(Ikeshoji)</strong> Ikeshoji and Hafskjold, Molecular Physics, 81, 251-261 (1994).</p>
<p id="wirnsberger"><strong>(Wirnsberger)</strong> Wirnsberger, Frenkel, and Dellago, J Chem Phys, 143,
124104 (2015).</p>
</section>
</section>
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