commit JT 020818
- documentation v1.0 - reorg. of examples
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@ -15,7 +15,7 @@ atom_style style args :pre
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style = {angle} or {atomic} or {body} or {bond} or {charge} or {dipole} or \
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{dpd} or {edpd} or {mdpd} or {tdpd} or {electron} or {ellipsoid} or \
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{full} or {line} or {meso} or {molecular} or {peri} or {smd} or \
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{sphere} or {tri} or {template} or {hybrid} :ulb,l
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{sphere} or {tri} or {template} or {hybrid} or {spin} :ulb,l
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args = none for any style except the following
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{body} args = bstyle bstyle-args
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bstyle = style of body particles
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@ -38,6 +38,7 @@ atom_style full
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atom_style body nparticle 2 10
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atom_style hybrid charge bond
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atom_style hybrid charge body nparticle 2 5
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atom_style spin
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atom_style template myMols
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atom_style tdpd 2 :pre
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@ -89,6 +90,7 @@ quantities.
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{peri} | mass, volume | mesocopic Peridynamic models |
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{smd} | volume, kernel diameter, contact radius, mass | solid and fluid SPH particles |
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{sphere} | diameter, mass, angular velocity | granular models |
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{spin} | magnetic moment | system with magnetic particles |
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{template} | template index, template atom | small molecules with fixed topology |
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{tri} | corner points, angular momentum | rigid bodies |
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{wavepacket} | charge, spin, eradius, etag, cs_re, cs_im | AWPMD :tb(c=3,s=|)
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@ -175,6 +177,9 @@ used for calculating the field variables (e.g. stress and deformation)
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and a contact radius for calculating repulsive forces which prevent
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individual physical bodies from penetrating each other.
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For the {spin} style, a magnetic spin is associated to each atom.
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Those spins have a norm (their magnetic moment) and a direction.
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The {wavepacket} style is similar to {electron}, but the electrons may
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consist of several Gaussian wave packets, summed up with coefficients
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cs= (cs_re,cs_im). Each of the wave packets is treated as a separate
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@ -312,6 +317,8 @@ The {meso} style is part of the USER-SPH package for smoothed particle
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hydrodynamics (SPH). See "this PDF
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guide"_USER/sph/SPH_LAMMPS_userguide.pdf to using SPH in LAMMPS.
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The {spin} style is part of the SPIN package.
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The {wavepacket} style is part of the USER-AWPMD package for the
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"antisymmetrized wave packet MD method"_pair_awpmd.html.
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@ -36,7 +36,7 @@ Style {zeeman} is used for the simulation of the interaction
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between the magnetic spins in the defined group and an external
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magnetic field:
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:c,image(Eqs/force_spin_zeeman.pdf)
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:c,image(Eqs/force_spin_zeeman.jpg)
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with mu0 the vacuum permeability, muB the Bohr magneton (muB = 5.788 eV/T
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in metal units),
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@ -44,7 +44,7 @@ in metal units),
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Style {aniso} is used to simulate an easy axis or an easy plane
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for the magnetic spins in the defined group:
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:c,image(Eqs/force_spin_aniso.pdf)
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:c,image(Eqs/force_spin_aniso.jpg)
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with n defining the direction of the anisotropy, and K (in eV) its intensity.
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If K>0, an easy axis is defined, and if K<0, an easy plane is defined.
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@ -10,33 +10,38 @@ fix integration/spin command :h3
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[Syntax:]
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fix ID group-ID integration/spin style :pre
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fix ID group-ID integration/spin keyword values :pre
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ID, group-ID are documented in "fix"_fix.html command :ulb,l
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integration/spin = style name of this fix command :l
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style = {serial} or {mpi} :l
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{serial} value = factor
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factor = do thermostat rotational degrees of freedom via the angular momentum and apply numeric scale factor as discussed below :pre
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{mpi}
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keyword = {lattice} :l
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{lattice} value = {no} or {yes} :pre
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:ule
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[Examples:]
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fix 3 all integration/spin serial
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fix 1 all integration/spin mpi
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fix 3 all integration/spin lattice yes
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fix 1 all integration/spin lattice no :pre
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[Description:]
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A Suzuki-Trotter decomposition is applied to the integration of the
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spin-lattice system.
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Perform a symplectic integration for the spin or spin-lattice system.
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:line
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The {lattice} keyword defines if the spins are integrated on a lattice
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of fixed atoms (lattice = no), or if atoms are moving (lattice = yes).
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The {style} value defines if a serial of a parallel
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algorithm has to be used for the integration.
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By default (lattice = yes), a spin-lattice integration is performed.
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The parallel algorithm uses a sectoring method as
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described in .
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The {integration/spin} fix applies a Suzuki-Trotter decomposition to
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the equations of motion of the spin lattice system, following the scheme:
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:c,image(Eqs/fix_integration_spin_stdecomposition.jpg)
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according to the implementation reported in "(Omelyan)"_#Omelyan1.
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A sectoring enables this scheme for parallel calculations.
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The implementation of this sectoring algorithm is reported in
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"(Tranchida)"_#Tranchida1.
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:line
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@ -49,17 +54,16 @@ section for more info on packages.
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[Related commands:]
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"fix nve"_fix_nve.html, "pair spin"_pair_spin.html,
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"compute spin"_compute_spin.html, "fix langevin spin"_fix_langevin_spin.html,
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"atom_style spin"_atom_style.html, "fix nve"_fix_nve.html
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[Default:] none
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:line
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:link(Davidchack2)
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[(Davidchack)] R.L Davidchack, T.E. Ouldridge, M.V. Tretyakov. J. Chem. Phys. 142, 144114 (2015).
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:link(Miller2)
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[(Miller)] T. F. Miller III, M. Eleftheriou, P. Pattnaik, A. Ndirango, G. J. Martyna, J. Chem. Phys., 116, 8649-8659 (2002).
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:link(Dunweg3)
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[(Dunweg)] B. Dunweg, W. Paul, Int. J. Mod. Phys. C, 2, 817-27 (1991).
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:link(Omelyan1)
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[(Omelyan)] I.P. Omelyan, I.M. Mryglod, R. Folk. Phys. Rev. Lett.
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86(5), 898. (2001)
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:link(Tranchida1)
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[(Tranchida)] J. Tranchida, S.J. Plimpton, P. Thibaudeau, A.P. Thompson.
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arXiv preprint arXiv:1801.10233. (2018)
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@ -26,16 +26,22 @@ fix 2 all langevin/spin 300.0 0.01 0.0 21 :pre
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[Description:]
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Apply a Langevin thermostat as described in "(Mayergoyz)"_#Mayergoyz1
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to the magnetic spins associated to the atoms.
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Used with "fix integration spin"_fix_integration_spin.html, this
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command performs Brownian dynamics (BD), apply a random torque
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and a transverse dissipation to each spin:
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Apply a Langevin thermostat as described in "(Mayergoyz)"_#Mayergoyz1 to the
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magnetic spins associated to the atoms.
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Used with "fix integration spin"_fix_integration_spin.html, this command performs
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Brownian dynamics (BD).
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A random torque and a transverse dissipation are applied to each spin i according to
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the following stochastic differential equation:
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Rand torque =
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Transverse dmping =
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D is proportional to sqrt(Kb T m / (hbar dt damp)) :pre
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:c,image(Eqs/fix_langevin_spin_sLLG.jpg)
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with lambda the transverse damping, and eta a random verctor.
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The components of eta are drawn from a Gaussian probability law. Their amplitude
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is defined as a proportion of the temperature of the external thermostat T (in K
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in metal units).
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More details about this implementation are reported in "(Tranchida)"_#Tranchida1.
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Note: The random # {seed} must be a positive integer. A Marsaglia random
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number generator is used. Each processor uses the input seed to
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@ -59,7 +65,7 @@ This fix is not invoked during "energy minimization"_minimize.html.
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[Restrictions:]
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The {langevin/spin} fix is part of the SPIN package.
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These styles are only enabled if LAMMPS was built with this package.
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This style is only enabled if LAMMPS was built with this package.
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See the "Making LAMMPS"_Section_start.html#start_3 section for more info.
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The numerical integration has to be performed with {fix/integration/spin}
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@ -70,22 +76,13 @@ when {langevin/spin} is enabled.
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"fix integration spin"_fix_integration_spin.html,
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"pair spin"_pair_spin.html
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[Default:]
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The option defaults are angmom = no, omega = no, scale = 1.0 for all
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types, tally = no, zero = no, gjf = no.
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[Default:] none
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:line
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:link(Mayergoyz1)
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Mayergoyz, Bertotti, and Serpico (2009). Elsevier (2009)
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[(Mayergoyz)] I.D. Mayergoyz, G. Bertotti, C. Serpico (2009). Elsevier (2009)
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:link(Schneider1)
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[(Schneider)] Schneider and Stoll, Phys Rev B, 17, 1302 (1978).
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:link(Gronbech-Jensen)
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[(Gronbech-Jensen)] Gronbech-Jensen and Farago, Mol Phys, 111, 983
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(2013); Gronbech-Jensen, Hayre, and Farago, Comp Phys Comm,
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185, 524 (2014)
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:link(Tranchida1)
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[(Tranchida)] J. Tranchida, S.J. Plimpton, P. Thibaudeau, A.P. Thompson.
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arXiv preprint arXiv:1801.10233. (2018)
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@ -27,7 +27,7 @@ pair_coeff 1 2 exchange 6.0 -0.01575 0.0 1.965 :pre
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Style {pair/spin/exchange} computes the exchange interaction between
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pairs of magnetic spins:
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:c,image(Eqs/pair_spin_exchange_interaction.pdf)
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:c,image(Eqs/pair_spin_exchange_interaction.jpg)
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where si and sj are two neighboring magnetic spins of two particles,
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rij = ri - rj is the inter-atomic distance between the two particles,
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@ -36,7 +36,7 @@ interaction.
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This function is defined as:
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:c,image(Eqs/pair_spin_exchange_function.pdf)
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:c,image(Eqs/pair_spin_exchange_function.jpg)
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where a, b and d are the three constant coefficients defined in the associated
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"pair_coeff" command.
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@ -44,9 +44,19 @@ where a, b and d are the three constant coefficients defined in the associated
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The coefficients a, b, and c need to be fitted so that the function above matches with
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the value of the exchange interaction for the N neighbor shells taken into account.
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Examles and more explanations about this function and its parametrization are reported
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Examples and more explanations about this function and its parametrization are reported
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in "(Tranchida)"_#Tranchida1.
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From this exchange interaction, each spin i will be submitted to a magnetic torque
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omega and its associated atom to a force F, such as:
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:c,image(Eqs/pair_spin_exchange_forces.jpg)
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with h the Planck constant (in metal units).
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More details about the derivation of these torques/forces are reported in
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"(Tranchida)"_#Tranchida1.
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:line
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[Restrictions:]
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@ -98,7 +98,7 @@ FixIntegrationSpin::FixIntegrationSpin(LAMMPS *lmp, int narg, char **arg) :
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if (extra == SPIN && !atom->mumag_flag)
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error->all(FLERR,"Fix integration/spin requires spin attribute mumag");
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if (mpi_flag == 0 && nprocs_tmp == 1)
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if (mpi_flag == 0 && nprocs_tmp > 1)
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error->all(FLERR,"Illegal fix/integration/spin command");
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magpair_flag = 0;
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