Merge pull request #1428 from sstrong99/e3b

"dpd/fdt/energy (k)"_pair_dpd_fdt.html,

"dpd/tstat (go)"_pair_dpd.html,

"dsmc"_pair_dsmc.html,

"e3b"_pair_e3b.html,

"drip"_pair_drip.html,

"eam (gikot)"_pair_eam.html,

"eam/alloy (gikot)"_pair_eam.html,

\documentclass[12pt]{article}

\usepackage{amsmath}

\begin{document}

\begin{align*}

E =& E_2 \sum_{i,j}e^{-k_2 r_{ij}} + E_A \sum_{\substack{i,j,k,\ell \\\in \textrm{type A}}} f(r_{ij})f(r_{k\ell}) + E_B \sum_{\substack{i,j,k,\ell \\\in \textrm{type B}}} f(r_{ij})f(r_{k\ell}) + E_C \sum_{\substack{i,j,k,\ell \\\in \textrm{type C}}} f(r_{ij})f(r_{k\ell}) \\

f(r) =& e^{-k_3 r}s(r) \\

s(r) =& \begin{cases}

  1 & r<R_s \\

  \displaystyle\frac{(R_f-r)^2(R_f-3R_s+2r)}{(R_f-R_s)^3} & R_s\leq r\leq R_f \\

  0 & r>R_f\\

\end{cases}

\end{align*}

\end{document}

organic molecules, inorganic small molecules, and polymers which was

developed using ab initio and empirical parameterization techniques.

See the "Tools"_Tools.html doc page for the msi2lmp tool for creating

LAMMPS template input and data files from BIOVIA’s Materials Studio

LAMMPS template input and data files from BIOVIA's Materials Studio

files.  Please note that the msi2lmp tool is very old and largely

unmaintained, so it does not support all features of Materials Studio

provided force field files, especially additions during the last decade.

Spellmeyer, Fox, Caldwell, Kollman, JACS 117, 5179-5197 (1995).

:link(howto-Sun)

[(Sun)] Sun, J. Phys. Chem. B, 102, 7338–7364 (1998).

[(Sun)] Sun, J. Phys. Chem. B, 102, 7338-7364 (1998).

:link(howto-Mayo)

[(Mayo)] Mayo, Olfason, Goddard III, J Phys Chem, 94, 8897-8909

accumulated in a vector via the "fix vector"_fix_vector.html command,

and time integrated via the "variable trap"_variable.html function,

and thus extract D.

:line