git-svn-id: svn://svn.icms.temple.edu/lammps-ro/trunk@6657 f3b2605a-c512-4ea7-a41b-209d697bcdaa

This commit is contained in:
sjplimp 2011-08-08 23:13:33 +00:00
parent 1ce29fc9a1
commit 0df7d9154c
2 changed files with 11 additions and 0 deletions

BIN
doc/Eqs/pair_lj_sf.jpg Normal file

Binary file not shown.

After

Width:  |  Height:  |  Size: 9.4 KiB

11
doc/Eqs/pair_lj_sf.tex Normal file
View File

@ -0,0 +1,11 @@
\documentclass[12pt]{article}
\begin{document}
\begin{eqnarray*}
F & = & F_{\mathrm{LJ}}(r) - F_{\mathrm{LJ}}(r_{\mathrm{c}}) \qquad r < r_{\mathrm{c}} \\
E & = & E_{\mathrm{LJ}}(r) - E_{\mathrm{LJ}}(r_{\mathrm{c}}) + (r - r_{\mathrm{c}}) F_{\mathrm{LJ}}(r_{\mathrm{c}}) \qquad r < r_{\mathrm{c}} \\
\mathrm{with} \qquad E_{\mathrm{LJ}}(r) & = & 4 \epsilon \left[ \left(\frac{\sigma}{r}\right)^{12} - \left(\frac{\sigma}{r}\right)^6 \right] \qquad \mathrm{and} \qquad F_{\mathrm{LJ}}(r) = - E^\prime_{\mathrm{LJ}}(r)
\end{eqnarray*}
\end{document}