git-svn-id: svn://svn.icms.temple.edu/lammps-ro/trunk@3933 f3b2605a-c512-4ea7-a41b-209d697bcdaa

doc/Eqs/heat_flux_J.tex

-\documentclass[12pt]{article}
-
-\begin{document}
-
-$$
-\mathbf{J}  
-= \sum_i e_i \mathbf{v}_i
-+ \sum_{i<j} \left( \mathbf{f}_{ij} \cdot \mathbf{v}_j \right) \mathbf{x}_{ij}
-= \sum_i e_i \mathbf{v}_i
-+ \frac{1}{2} \sum_{i<j} \left( \mathbf{f}_{ij} \cdot \left(\mathbf{v}_i + \mathbf{v}_j \right)  \right) \mathbf{x}_{ij}
-$$
-
-\end{document}
-
+\documentclass[12pt]{article}
+
+\begin{document}
+
+\begin{eqnarray*}
+\mathbf{J} & = & \frac{1}{V} \left[ \sum_i e_i \mathbf{v}_i - \sum_{i} \mathbf{S}_{i} \mathbf{v}_i \right] \\
+& = & \frac{1}{V} \left[ \sum_i e_i \mathbf{v}_i + \sum_{i<j} \left( \mathbf{f}_{ij} \cdot \mathbf{v}_j \right) \mathbf{x}_{ij} \right] \\
+& = & \frac{1}{V} \left[ \sum_i e_i \mathbf{v}_i + \frac{1}{2} \sum_{i<j} \left( \mathbf{f}_{ij} \cdot \left(\mathbf{v}_i + \mathbf{v}_j \right)  \right) \mathbf{x}_{ij} \right]
+\end{eqnarray*}
+
+\end{document}