consistently use prefactor instead of pre-factor (the former was more common)
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@ -75,7 +75,7 @@ doc page. This description of LHD builds on the GHD description.
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The definition of bonds and :math:`E_{ij}` are the same for GHD and LHD.
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The formulas for :math:`V^{max}_{ij}` and :math:`F^{max}_{ij}` are also
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the same except for a pre-factor :math:`C_{ij}`, explained below.
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the same except for a prefactor :math:`C_{ij}`, explained below.
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The bias energy :math:`V_{ij}` applied to a bond *ij* with maximum strain is
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@ -256,7 +256,7 @@ Note that this fix does not know the *cutevent* parameter, but uses
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half the *cutbond* parameter as an estimate to warn if the ghost
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cutoff is not long enough.
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As described above the *alpha* argument is a pre-factor in the
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As described above the *alpha* argument is a prefactor in the
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boostostat update equation for each bond's :math:`C_{ij}` prefactor.
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*Alpha* is specified in time units, similar to other thermostat or barostat
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damping parameters. It is roughly the physical time it will take the
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@ -59,7 +59,7 @@ of a bond or angle or dihedral interaction whose strength can vary
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over time during a simulation. This is functionally similar to
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creating a bond or angle or dihedral for the same atoms in a data
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file, as specified by the :doc:`read_data <read_data>` command, albeit
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with a time-varying pre-factor coefficient, and except for exclusion
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with a time-varying prefactor coefficient, and except for exclusion
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rules, as explained below.
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For the purpose of force field parameter-fitting or mapping a molecular
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@ -199,7 +199,7 @@ inside the colloid particle and wall. Note that the cutoff distance Rc
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in this case is the distance from the colloid particle center to the
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wall. The prefactor :math:`\epsilon` can be thought of as an effective
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Hamaker constant with energy units for the strength of the colloid-wall
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interaction. More specifically, the :math:`\epsilon` pre-factor is
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interaction. More specifically, the :math:`\epsilon` prefactor is
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:math:`4\pi^2 \rho_{wall} \rho_{colloid} \epsilon \sigma^6`, where
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:math:`\epsilon` and :math:`\sigma` are the LJ parameters for the
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constituent LJ particles. :math:`\rho_{wall}` and :math:`\rho_{colloid}`
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@ -211,7 +211,7 @@ constituent LJ particles of size :math:`\sigma` within the colloid particle
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and a 3d half-lattice of Lennard-Jones 12/6 particles of size :math:`\sigma`
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in the wall. As mentioned in the preceding paragraph, the density of
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particles in the wall and colloid can be different, as specified by
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the :math:`\epsilon` pre-factor.
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the :math:`\epsilon` prefactor.
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For the *wall/harmonic* style, :math:`\epsilon` is effectively the spring
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constant K, and has units (energy/distance\^2). The input parameter
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@ -88,7 +88,7 @@ examples/ directory.
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The prefactor :math:`\epsilon` can be thought of as an
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effective Hamaker constant with energy units for the strength of the
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ellipsoid-wall interaction. More specifically, the :math:`\epsilon`
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pre-factor is
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prefactor is
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.. math::
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@ -144,7 +144,7 @@ two particles, and is thus a non-linear function of overlap distance.
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Thus Kn has units of force per area and is thus specified in units of
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(pressure). The effects of absolute particle size (monodispersity)
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and relative size (polydispersity) are captured in the radii-dependent
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pre-factors. When these pre-factors are carried through to the other
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prefactors. When these prefactors are carried through to the other
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terms in the force equation it means that the specified :math:`\gamma_n` is in
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units of (1/(time\*distance)), :math:`K_t` is in units of (pressure), and
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:math:`\gamma_t` is in units of (1/(time\*distance)).
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@ -54,7 +54,7 @@ form.
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An interpolation table is used to evaluate the density-dependent energy
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(:math:`\int A(\rho') d\rho'`) and force (:math:`A(\rho')`). Note that
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the pre-factor to the energy is computed after the interpolation, thus
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the prefactor to the energy is computed after the interpolation, thus
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the :math:`\int A(\rho') d \rho'` will have units of energy / length\^4.
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The interpolation table is created as a pre-computation by fitting
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@ -67,7 +67,7 @@ form.
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An interpolation table is used to evaluate the density-dependent energy
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(:math:`\int A(\rho') d \rho'`) and force (:math:`A(\rho')`). Note that
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the pre-factor to the energy is computed after the interpolation, thus
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the prefactor to the energy is computed after the interpolation, thus
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the :math:`\int A(\rho') d\rho'` will have units of energy / length\^4.
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The interpolation table is created as a pre-computation by fitting
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@ -41,7 +41,7 @@ Style *soft* computes pairwise interactions with the formula
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\qquad r < r_c
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It is useful for pushing apart overlapping atoms, since it does not
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blow up as r goes to 0. A is a pre-factor that can be made to vary in
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blow up as r goes to 0. A is a prefactor that can be made to vary in
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time from the start to the end of the run (see discussion below),
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e.g. to start with a very soft potential and slowly harden the
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interactions over time. Rc is the cutoff. See the :doc:`fix nve/limit <fix_nve_limit>` command for another way to push apart
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@ -88,7 +88,7 @@ The Coulomb factors are applied to any Coulomb (charge interaction)
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term that the potential calculates. The LJ factors are applied to the
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remaining terms that the potential calculates, whether they represent
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LJ interactions or not. The weighting factors are a scaling
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pre-factor on the energy and force between the pair of atoms. A value
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prefactor on the energy and force between the pair of atoms. A value
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of 1.0 means include the full interaction; a value of 0.0 means
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exclude it completely.
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