Updates to pair/meam/spline documentation.
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@ -3,11 +3,11 @@
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\begin{document}
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\begin{document}
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$$
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$$
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E=\sum_{ij}\phi(r_{ij})+\sum_{i}U(\rho_{i}),
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E=\sum_{i<j}\phi(r_{ij})+\sum_{i}U(n_{i}),
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$$
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$$
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$$
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$$
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\rho_{i}=\sum_{j}\rho(r_{ij})+\sum_{jk}f(r_{ij})f(r_{ik})g[\cos(\theta_{jik})]
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n_{i}=\sum_{j}\rho(r_{ij})+\sum_{j<k}f(r_{ij})f(r_{ik})g[\cos(\theta_{jik})]
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$$
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$$
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\end{document}
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\end{document}
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@ -33,13 +33,18 @@ atoms J, I, and K centered on atom I. The five functions Phi, U, rho,
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f, and g are represented by cubic splines.
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f, and g are represented by cubic splines.
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The {meam/spline} style also supports a new style multicomponent
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The {meam/spline} style also supports a new style multicomponent
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modified embedded-atom method (MEAM) potential, where the total energy
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modified embedded-atom method (MEAM) potential "(Zhang)"_#Zhang1, where
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E is given by
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the total energy E is given by
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:c,image(Eqs/pair_meam_spline_multicomponent.jpg)
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:c,image(Eqs/pair_meam_spline_multicomponent.jpg)
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where the five functions Phi, U, rho, f, and g depend on the chemistry
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where the five functions Phi, U, rho, f, and g depend on the chemistry
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of the atoms in the interaction.
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of the atoms in the interaction. In particular, if there are N different
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chemistries, there are N different U, rho, and f functions, while there
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are N(N+1)/2 different Phi and g functions. The new style multicomponent
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MEAM potential files are indicated by the second line in the file starts
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with "meam/spline" followed by the number of elements and the name of each
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element.
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The cutoffs and the coefficients for these spline functions are listed
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The cutoffs and the coefficients for these spline functions are listed
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in a parameter file which is specified by the
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in a parameter file which is specified by the
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@ -114,9 +119,6 @@ more instructions on how to use the accelerated styles effectively.
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[Mixing, shift, table, tail correction, restart, rRESPA info]:
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[Mixing, shift, table, tail correction, restart, rRESPA info]:
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The current version of this pair style does not support multiple
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element types or mixing. It has been designed for pure elements only.
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This pair style does not support the "pair_modify"_pair_modify.html
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This pair style does not support the "pair_modify"_pair_modify.html
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shift, table, and tail options.
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shift, table, and tail options.
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@ -152,3 +154,6 @@ for more info.
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[(Lenosky)] Lenosky, Sadigh, Alonso, Bulatov, de la Rubia, Kim, Voter,
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[(Lenosky)] Lenosky, Sadigh, Alonso, Bulatov, de la Rubia, Kim, Voter,
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Kress, Modelling Simulation Materials Science Engineering, 8, 825
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Kress, Modelling Simulation Materials Science Engineering, 8, 825
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(2000).
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(2000).
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:link(Zhang1)
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[(Zhang)] Zhang and Trinkle, Computational Materials Science, 124, 204-210 (2016).
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