lammps/doc/Eqs/pair_sw.tex

18 lines
715 B
TeX

\documentclass[12pt]{article}
\begin{document}
\begin{eqnarray*}
E & = & \sum_i \sum_{j > i} \phi_2 (r_{ij}) +
\sum_i \sum_{j \neq i} \sum_{k > j}
\phi_3 (r_{ij}, r_{ik}, \theta_{ijk}) \\
\phi_2(r) & = & A \epsilon \left[ B (\frac{\sigma}{r})^p -
(\frac{\sigma}{r})^q \right]
\exp \left( \frac{\sigma}{r - a \sigma} \right) \\
\phi_3(r,s,\theta) & = & \lambda \epsilon \left[ \cos \theta -
\cos \theta_0 \right]^2
\exp \left( \frac{\gamma \sigma}{r - a \sigma} \right)
\exp \left( \frac{\gamma \sigma}{s - a \sigma} \right)
\end{eqnarray*}
\end{document}