lammps/doc/Eqs/stress_tensor.tex

21 lines
799 B
TeX
Raw Normal View History

\documentclass[12pt]{article}
\begin{document}
\begin{eqnarray*}
S_{ab} & = & - \left[ m v_a v_b +
\frac{1}{2} \sum_{n = 1}^{N_p} (r_{1_a} F_{1_b} + r_{2_a} F_{2_b}) +
\frac{1}{2} \sum_{n = 1}^{N_b} (r_{1_a} F_{1_b} + r_{2_a} F_{2_b}) + \right. \\
&& \left. \frac{1}{3} \sum_{n = 1}^{N_a} (r_{1_a} F_{1_b} + r_{2_a} F_{2_b} +
r_{3_a} F_{3_b}) +
\frac{1}{4} \sum_{n = 1}^{N_d} (r_{1_a} F_{1_b} + r_{2_a} F_{2_b} +
r_{3_a} F_{3_b} + r_{4_a} F_{4_b}) + \right. \\
&& \left. \frac{1}{4} \sum_{n = 1}^{N_i} (r_{1_a} F_{1_b} + r_{2_a} F_{2_b} +
r_{3_a} F_{3_b} + r_{4_a} F_{4_b}) +
{\rm Kspace}(r_{i_a},F_{i_b}) +
\sum_{n = 1}^{N_f} r_{i_a} F_{i_b} \right]
\end{eqnarray*}
\end{document}