forked from lijiext/lammps
540 lines
33 KiB
HTML
540 lines
33 KiB
HTML
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<title>compute heat/flux command — LAMMPS documentation</title>
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<a href="Manual.html" class="icon icon-home"> LAMMPS
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<p class="caption"><span class="caption-text">User Documentation</span></p>
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<ul>
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<li class="toctree-l1"><a class="reference internal" href="Section_intro.html">1. Introduction</a></li>
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<li class="toctree-l1"><a class="reference internal" href="Section_start.html">2. Getting Started</a></li>
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<li class="toctree-l1"><a class="reference internal" href="Section_commands.html">3. Commands</a></li>
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<li class="toctree-l1"><a class="reference internal" href="Section_packages.html">4. Packages</a></li>
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<li class="toctree-l1"><a class="reference internal" href="Section_accelerate.html">5. Accelerating LAMMPS performance</a></li>
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<li class="toctree-l1"><a class="reference internal" href="Section_howto.html">6. How-to discussions</a></li>
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<li class="toctree-l1"><a class="reference internal" href="Section_example.html">7. Example problems</a></li>
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<li class="toctree-l1"><a class="reference internal" href="Section_perf.html">8. Performance & scalability</a></li>
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<li class="toctree-l1"><a class="reference internal" href="Section_tools.html">9. Additional tools</a></li>
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<li class="toctree-l1"><a class="reference internal" href="Section_modify.html">10. Modifying & extending LAMMPS</a></li>
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<li class="toctree-l1"><a class="reference internal" href="Section_python.html">11. Python interface to LAMMPS</a></li>
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<li class="toctree-l1"><a class="reference internal" href="Section_errors.html">12. Errors</a></li>
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<li class="toctree-l1"><a class="reference internal" href="Section_history.html">13. Future and history</a></li>
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</ul>
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<p class="caption"><span class="caption-text">Index</span></p>
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<ul class="current">
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<li class="toctree-l1"><a class="reference internal" href="tutorials.html">Tutorials</a></li>
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<li class="toctree-l1"><a class="reference internal" href="commands.html">Commands</a></li>
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<li class="toctree-l1"><a class="reference internal" href="fixes.html">Fixes</a></li>
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<li class="toctree-l1 current"><a class="reference internal" href="computes.html">Computes</a><ul class="current">
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<li class="toctree-l2"><a class="reference internal" href="compute_ackland_atom.html">compute ackland/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_angle.html">compute angle command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_angle_local.html">compute angle/local command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_angmom_chunk.html">compute angmom/chunk command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_basal_atom.html">compute basal/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_body_local.html">compute body/local command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_bond.html">compute bond command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_bond_local.html">compute bond/local command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_centro_atom.html">compute centro/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_chunk_atom.html">compute chunk/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_cluster_atom.html">compute cluster/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_cna_atom.html">compute cna/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_com.html">compute com command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_com_chunk.html">compute com/chunk command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_contact_atom.html">compute contact/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_coord_atom.html">compute coord/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_damage_atom.html">compute damage/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_dihedral.html">compute dihedral command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_dihedral_local.html">compute dihedral/local command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_dilatation_atom.html">compute dilatation/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_dipole_chunk.html">compute dipole/chunk command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_displace_atom.html">compute displace/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_dpd.html">compute dpd command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_dpd_atom.html">compute dpd/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_erotate_asphere.html">compute erotate/asphere command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_erotate_rigid.html">compute erotate/rigid command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_erotate_sphere.html">compute erotate/sphere command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_erotate_sphere_atom.html">compute erotate/sphere/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_event_displace.html">compute event/displace command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_fep.html">compute fep command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_group_group.html">compute group/group command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_gyration.html">compute gyration command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_gyration_chunk.html">compute gyration/chunk command</a></li>
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<li class="toctree-l2 current"><a class="current reference internal" href="#">compute heat/flux command</a><ul>
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<li class="toctree-l3"><a class="reference internal" href="#syntax">Syntax</a></li>
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<li class="toctree-l3"><a class="reference internal" href="#examples">Examples</a></li>
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<li class="toctree-l3"><a class="reference internal" href="#description">Description</a></li>
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<li class="toctree-l3"><a class="reference internal" href="#restrictions">Restrictions</a></li>
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<li class="toctree-l3"><a class="reference internal" href="#related-commands">Related commands</a></li>
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</ul>
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</li>
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<li class="toctree-l2"><a class="reference internal" href="compute_hexorder_atom.html">compute hexorder/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_improper.html">compute improper command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_improper_local.html">compute improper/local command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_inertia_chunk.html">compute inertia/chunk command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_ke.html">compute ke command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_ke_atom.html">compute ke/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_ke_atom_eff.html">compute ke/atom/eff command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_ke_eff.html">compute ke/eff command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_ke_rigid.html">compute ke/rigid command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_meso_e_atom.html">compute meso/e/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_meso_rho_atom.html">compute meso/rho/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_meso_t_atom.html">compute meso/t/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_msd.html">compute msd command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_msd_chunk.html">compute msd/chunk command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_msd_nongauss.html">compute msd/nongauss command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_omega_chunk.html">compute omega/chunk command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_orientorder_atom.html">compute orientorder/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_pair.html">compute pair command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_pair_local.html">compute pair/local command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_pe.html">compute pe command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_pe_atom.html">compute pe/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_plasticity_atom.html">compute plasticity/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_pressure.html">compute pressure command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_property_atom.html">compute property/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_property_chunk.html">compute property/chunk command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_property_local.html">compute property/local command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_rdf.html">compute rdf command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_reduce.html">compute reduce command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_reduce.html#compute-reduce-region-command">compute reduce/region command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_rigid_local.html">compute rigid/local command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_saed.html">compute saed command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_slice.html">compute slice command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_smd_contact_radius.html">compute smd/contact/radius command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_smd_damage.html">compute smd/damage command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_smd_hourglass_error.html">compute smd/hourglass/error command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_smd_internal_energy.html">compute smd/internal/energy command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_smd_plastic_strain.html">compute smd/plastic/strain command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_smd_plastic_strain_rate.html">compute smd/plastic/strain/rate command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_smd_rho.html">compute smd/rho command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_smd_tlsph_defgrad.html">compute smd/tlsph/defgrad command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_smd_tlsph_dt.html">compute smd/tlsph/dt command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_smd_tlsph_num_neighs.html">compute smd/tlsph/num/neighs command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_smd_tlsph_shape.html">compute smd/tlsph/shape command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_smd_tlsph_strain.html">compute smd/tlsph/strain command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_smd_tlsph_strain_rate.html">compute smd/tlsph/strain/rate command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_smd_tlsph_stress.html">compute smd/tlsph/stress command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_smd_triangle_mesh_vertices.html">compute smd/triangle/mesh/vertices</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_smd_ulsph_num_neighs.html">compute smd/ulsph/num/neighs command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_smd_ulsph_strain.html">compute smd/ulsph/strain command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_smd_ulsph_strain_rate.html">compute smd/ulsph/strain/rate command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_smd_ulsph_stress.html">compute smd/ulsph/stress command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_smd_vol.html">compute smd/vol command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_sna_atom.html">compute sna/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_sna_atom.html#compute-snad-atom-command">compute snad/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_sna_atom.html#compute-snav-atom-command">compute snav/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_stress_atom.html">compute stress/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_tally.html">compute force/tally command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_tally.html#compute-heat-flux-tally-command">compute heat/flux/tally command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_tally.html#compute-pe-tally-command">compute pe/tally command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_tally.html#compute-pe-mol-tally-command">compute pe/mol/tally command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_tally.html#compute-stress-tally-command">compute stress/tally command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_temp.html">compute temp command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_temp.html#compute-temp-kk-command">compute temp/kk command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_temp_asphere.html">compute temp/asphere command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_temp_body.html">compute temp/body command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_temp_chunk.html">compute temp/chunk command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_temp_com.html">compute temp/com command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_temp_cs.html">compute temp/cs command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_temp_deform.html">compute temp/deform command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_temp_deform_eff.html">compute temp/deform/eff command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_temp_drude.html">compute temp/drude command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_temp_eff.html">compute temp/eff command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_temp_partial.html">compute temp/partial command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_temp_profile.html">compute temp/profile command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_temp_ramp.html">compute temp/ramp command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_temp_region.html">compute temp/region command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_temp_region_eff.html">compute temp/region/eff command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_temp_rotate.html">compute temp/rotate command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_temp_sphere.html">compute temp/sphere command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_ti.html">compute ti command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_torque_chunk.html">compute torque/chunk command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_vacf.html">compute vacf command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_vcm_chunk.html">compute vcm/chunk command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_voronoi_atom.html">compute voronoi/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_xrd.html">compute xrd command</a></li>
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</ul>
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</li>
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<li class="toctree-l1"><a class="reference internal" href="pairs.html">Pair Styles</a></li>
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<li class="toctree-l1"><a class="reference internal" href="bonds.html">Bonds</a></li>
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<li class="toctree-l1"><a class="reference internal" href="angles.html">Angle Styles</a></li>
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<li class="toctree-l1"><a class="reference internal" href="dihedrals.html">Dihedral Styles</a></li>
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<li class="toctree-l1"><a class="reference internal" href="impropers.html">Improper Styles</a></li>
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</ul>
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<div class="section" id="compute-heat-flux-command">
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<span id="index-0"></span><h1>compute heat/flux command</h1>
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<div class="section" id="syntax">
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<h2>Syntax</h2>
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<div class="highlight-default"><div class="highlight"><pre><span></span><span class="n">compute</span> <span class="n">ID</span> <span class="n">group</span><span class="o">-</span><span class="n">ID</span> <span class="n">heat</span><span class="o">/</span><span class="n">flux</span> <span class="n">ke</span><span class="o">-</span><span class="n">ID</span> <span class="n">pe</span><span class="o">-</span><span class="n">ID</span> <span class="n">stress</span><span class="o">-</span><span class="n">ID</span>
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</pre></div>
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</div>
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<ul class="simple">
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<li>ID, group-ID are documented in <a class="reference internal" href="compute.html"><span class="doc">compute</span></a> command</li>
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<li>heat/flux = style name of this compute command</li>
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<li>ke-ID = ID of a compute that calculates per-atom kinetic energy</li>
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<li>pe-ID = ID of a compute that calculates per-atom potential energy</li>
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<li>stress-ID = ID of a compute that calculates per-atom stress</li>
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</ul>
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</div>
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<div class="section" id="examples">
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<h2>Examples</h2>
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<div class="highlight-default"><div class="highlight"><pre><span></span><span class="n">compute</span> <span class="n">myFlux</span> <span class="nb">all</span> <span class="n">heat</span><span class="o">/</span><span class="n">flux</span> <span class="n">myKE</span> <span class="n">myPE</span> <span class="n">myStress</span>
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</pre></div>
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</div>
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</div>
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<div class="section" id="description">
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<h2>Description</h2>
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<p>Define a computation that calculates the heat flux vector based on
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contributions from atoms in the specified group. This can be used by
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itself to measure the heat flux into or out of a reservoir of atoms,
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or to calculate a thermal conductivity using the Green-Kubo formalism.</p>
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<p>See the <a class="reference internal" href="fix_thermal_conductivity.html"><span class="doc">fix thermal/conductivity</span></a>
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command for details on how to compute thermal conductivity in an
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alternate way, via the Muller-Plathe method. See the <a class="reference internal" href="fix_heat.html"><span class="doc">fix heat</span></a> command for a way to control the heat added or
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subtracted to a group of atoms.</p>
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<p>The compute takes three arguments which are IDs of other
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<a class="reference internal" href="compute.html"><span class="doc">computes</span></a>. One calculates per-atom kinetic energy
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(<em>ke-ID</em>), one calculates per-atom potential energy (<em>pe-ID)</em>, and the
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third calcualtes per-atom stress (<em>stress-ID</em>).</p>
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<div class="admonition note">
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<p class="first admonition-title">Note</p>
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<p class="last">These other computes should provide values for all the atoms in
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the group this compute specifies. That means the other computes could
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use the same group as this compute, or they can just use group “all”
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(or any group whose atoms are superset of the atoms in this compute’s
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group). LAMMPS does not check for this.</p>
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</div>
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<p>The Green-Kubo formulas relate the ensemble average of the
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auto-correlation of the heat flux J to the thermal conductivity kappa:</p>
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<img alt="_images/heat_flux_J.jpg" class="align-center" src="_images/heat_flux_J.jpg" />
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<img alt="_images/heat_flux_k.jpg" class="align-center" src="_images/heat_flux_k.jpg" />
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<p>Ei in the first term of the equation for J is the per-atom energy
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(potential and kinetic). This is calculated by the computes <em>ke-ID</em>
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and <em>pe-ID</em>. Si in the second term of the equation for J is the
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per-atom stress tensor calculated by the compute <em>stress-ID</em>. The
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tensor multiplies Vi as a 3x3 matrix-vector multiply to yield a
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vector. Note that as discussed below, the 1/V scaling factor in the
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equation for J is NOT included in the calculation performed by this
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compute; you need to add it for a volume appropriate to the atoms
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included in the calculation.</p>
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<div class="admonition note">
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<p class="first admonition-title">Note</p>
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<p class="last">The <a class="reference internal" href="compute_pe_atom.html"><span class="doc">compute pe/atom</span></a> and <a class="reference internal" href="compute_stress_atom.html"><span class="doc">compute stress/atom</span></a> commands have options for which
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terms to include in their calculation (pair, bond, etc). The heat
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flux calculation will thus include exactly the same terms. Normally
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you should use <a class="reference internal" href="compute_stress_atom.html"><span class="doc">compute stress/atom virial</span></a>
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so as not to include a kinetic energy term in the heat flux.</p>
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</div>
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<p>This compute calculates 6 quantities and stores them in a 6-component
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vector. The first 3 components are the x, y, z components of the full
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heat flux vector, i.e. (Jx, Jy, Jz). The next 3 components are the x,
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y, z components of just the convective portion of the flux, i.e. the
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first term in the equation for J above.</p>
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<hr class="docutils" />
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<p>The heat flux can be output every so many timesteps (e.g. via the
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<a class="reference internal" href="thermo_style.html"><span class="doc">thermo_style custom</span></a> command). Then as a
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post-processing operation, an autocorrelation can be performed, its
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integral estimated, and the Green-Kubo formula above evaluated.</p>
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<p>The <a class="reference internal" href="fix_ave_correlate.html"><span class="doc">fix ave/correlate</span></a> command can calclate
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the autocorrelation. The trap() function in the
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<a class="reference internal" href="variable.html"><span class="doc">variable</span></a> command can calculate the integral.</p>
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<p>An example LAMMPS input script for solid Ar is appended below. The
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result should be: average conductivity ~0.29 in W/mK.</p>
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<hr class="docutils" />
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<p><strong>Output info:</strong></p>
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<p>This compute calculates a global vector of length 6 (total heat flux
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vector, followed by convective heat flux vector), which can be
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accessed by indices 1-6. These values can be used by any command that
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uses global vector values from a compute as input. See <a class="reference internal" href="Section_howto.html#howto-15"><span class="std std-ref">this section</span></a> for an overview of LAMMPS output
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options.</p>
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<p>The vector values calculated by this compute are “extensive”, meaning
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they scale with the number of atoms in the simulation. They can be
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divided by the appropriate volume to get a flux, which would then be
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an “intensive” value, meaning independent of the number of atoms in
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the simulation. Note that if the compute is “all”, then the
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appropriate volume to divide by is the simulation box volume.
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However, if a sub-group is used, it should be the volume containing
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those atoms.</p>
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<p>The vector values will be in energy*velocity <a class="reference internal" href="units.html"><span class="doc">units</span></a>. Once
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divided by a volume the units will be that of flux, namely
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energy/area/time <a class="reference internal" href="units.html"><span class="doc">units</span></a></p>
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</div>
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<div class="section" id="restrictions">
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<h2>Restrictions</h2>
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<blockquote>
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<div>none</div></blockquote>
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</div>
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<div class="section" id="related-commands">
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<h2>Related commands</h2>
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<p><a class="reference internal" href="fix_thermal_conductivity.html"><span class="doc">fix thermal/conductivity</span></a>,
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<a class="reference internal" href="fix_ave_correlate.html"><span class="doc">fix ave/correlate</span></a>,
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<a class="reference internal" href="variable.html"><span class="doc">variable</span></a></p>
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<p><strong>Default:</strong> none</p>
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<hr class="docutils" />
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<div class="highlight-default"><div class="highlight"><pre><span></span><span class="c1"># Sample LAMMPS input script for thermal conductivity of solid Ar</span>
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</pre></div>
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</div>
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<pre class="literal-block">
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units real
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variable T equal 70
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variable V equal vol
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variable dt equal 4.0
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variable p equal 200 # correlation length
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variable s equal 10 # sample interval
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variable d equal $p*$s # dump interval
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</pre>
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<div class="highlight-default"><div class="highlight"><pre><span></span><span class="c1"># convert from LAMMPS real units to SI</span>
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</pre></div>
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</div>
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<pre class="literal-block">
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variable kB equal 1.3806504e-23 # [J/K] Boltzmann
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variable kCal2J equal 4186.0/6.02214e23
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variable A2m equal 1.0e-10
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variable fs2s equal 1.0e-15
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variable convert equal ${kCal2J}*${kCal2J}/${fs2s}/${A2m}
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</pre>
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<div class="highlight-default"><div class="highlight"><pre><span></span><span class="c1"># setup problem</span>
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</pre></div>
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</div>
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<pre class="literal-block">
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dimension 3
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boundary p p p
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lattice fcc 5.376 orient x 1 0 0 orient y 0 1 0 orient z 0 0 1
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region box block 0 4 0 4 0 4
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create_box 1 box
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create_atoms 1 box
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mass 1 39.948
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pair_style lj/cut 13.0
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pair_coeff * * 0.2381 3.405
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timestep ${dt}
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thermo $d
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</pre>
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<div class="highlight-default"><div class="highlight"><pre><span></span><span class="c1"># equilibration and thermalization</span>
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</pre></div>
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</div>
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<div class="highlight-default"><div class="highlight"><pre><span></span>velocity all create $T 102486 mom yes rot yes dist gaussian
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fix NVT all nvt temp $T $T 10 drag 0.2
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run 8000
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</pre></div>
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</div>
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<div class="highlight-default"><div class="highlight"><pre><span></span><span class="c1"># thermal conductivity calculation, switch to NVE if desired</span>
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</pre></div>
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</div>
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<div class="highlight-default"><div class="highlight"><pre><span></span><span class="c1">#unfix NVT</span>
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<span class="c1">#fix NVE all nve</span>
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</pre></div>
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</div>
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<pre class="literal-block">
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reset_timestep 0
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compute myKE all ke/atom
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compute myPE all pe/atom
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compute myStress all stress/atom NULL virial
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compute flux all heat/flux myKE myPE myStress
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variable Jx equal c_flux[1]/vol
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variable Jy equal c_flux[2]/vol
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variable Jz equal c_flux[3]/vol
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fix JJ all ave/correlate $s $p $d &
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c_flux[1] c_flux[2] c_flux[3] type auto file J0Jt.dat ave running
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variable scale equal ${convert}/${kB}/$T/$T/$V*$s*${dt}
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variable k11 equal trap(f_JJ[3])*${scale}
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variable k22 equal trap(f_JJ[4])*${scale}
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variable k33 equal trap(f_JJ[5])*${scale}
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thermo_style custom step temp v_Jx v_Jy v_Jz v_k11 v_k22 v_k33
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run 100000
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variable k equal (v_k11+v_k22+v_k33)/3.0
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variable ndens equal count(all)/vol
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print "average conductivity: $k[W/mK] @ $T K, ${ndens} /A^3"
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</pre>
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