git-svn-id: svn://svn.icms.temple.edu/lammps-ro/trunk@15124 f3b2605a-c512-4ea7-a41b-209d697bcdaa

doc/src/Eqs/compute_dpd.tex

@@ -5,7 +5,8 @@
 \begin{eqnarray*}
    U^{cond} = \displaystyle\sum_{i=1}^{N} u_{i}^{cond} \\ 
    U^{mech} = \displaystyle\sum_{i=1}^{N} u_{i}^{mech} \\
-   U = \displaystyle\sum_{i=1}^{N} (u_{i}^{cond} + u_{i}^{mech}) \\
+   U^{chem} = \displaystyle\sum_{i=1}^{N} u_{i}^{chem} \\
+   U = \displaystyle\sum_{i=1}^{N} (u_{i}^{cond} + u_{i}^{mech} + u_{i}^{chem}) \\
    \theta_{avg} = (\frac{1}{N}\displaystyle\sum_{i=1}^{N} \frac{1}{\theta_{i}})^{-1} \\
 \end{eqnarray*}                           
 

doc/src/Eqs/fix_eos_table_rx.tex

@@ -0,0 +1,9 @@
+\documentstyle[12pt]{article}
+\pagestyle{empty}
+\begin{document}
+
+\begin{eqnarray*}
+   U_{i} = \displaystyle\sum_{j=1}^{m} c_{i,j}(u_{j} + \Delta H_{f,j}) + \frac{3k_{b}T}{2} + Nk_{b}T \\ 
+\end{eqnarray*}                           
+
+\end{document}

doc/src/Eqs/fix_rx.tex

@@ -0,0 +1,9 @@
+\documentstyle[12pt]{article}
+\pagestyle{empty}
+\begin{document}
+
+\begin{eqnarray*}
+   k = AT^{n}e^{\frac{-E_{a}}{k_{B}T}}
+\end{eqnarray*}                           
+
+\end{document}

doc/src/Eqs/fix_rx_localTemp.tex

@@ -0,0 +1,9 @@
+\documentstyle[12pt]{article}
+\pagestyle{empty}
+\begin{document}
+
+\begin{eqnarray*}
+   \theta_i^{-1} = \frac{\sum_{j=1}\omega_{Lucy}\left(r_{ij}\right)\theta_j^{-1}}{\sum_{j=1}\omega_{Lucy}\left(r_{ij}\right)}
+\end{eqnarray*}                           
+
+\end{document}

doc/src/Eqs/fix_rx_localTemp2.tex

@@ -0,0 +1,9 @@
+\documentstyle[12pt]{article}
+\pagestyle{empty}
+\begin{document}
+
+\begin{eqnarray*}
+   \omega_{Lucy}\left(r_{ij}\right) = \left( 1 + \frac{3r_{ij}}{r_c} \right) \left( 1 - \frac{r_{ij}}{r_c} \right)^3
+\end{eqnarray*}                           
+
+\end{document}

doc/src/Eqs/fix_rx_reaction.tex

@@ -0,0 +1,9 @@
+\documentstyle[12pt]{article}
+\pagestyle{empty}
+\begin{document}
+
+\begin{eqnarray*}
+   \nu_{A}A + \nu_{B}B \rightarrow \nu_{C}C
+\end{eqnarray*}                           
+
+\end{document}

doc/src/Eqs/fix_rx_reactionRate.tex

@@ -0,0 +1,9 @@
+\documentstyle[12pt]{article}
+\pagestyle{empty}
+\begin{document}
+
+\begin{eqnarray*}
+   r = k(T)[A]^{\nu_{A}}[B]^{\nu_{B}}
+\end{eqnarray*}                           
+
+\end{document}

doc/src/Eqs/pair_exp6_rx.tex

@@ -0,0 +1,9 @@
+\documentclass[12pt]{article}
+\pagestyle{empty}
+\begin{document}
+
+$$
+U_{ij}(r) = \frac{\epsilon}{\alpha-6}\{6exp[\alpha(1-\frac{r_{ij}}{R_{m}})]-\alpha(\frac{R_{m}}{r_{ij}})^6\}
+$$
+
+\end{document}

doc/src/Eqs/pair_exp6_rx_oneFluid.tex

@@ -0,0 +1,11 @@
+\documentstyle[12pt]{article}
+\pagestyle{empty}
+\begin{document}
+
+\begin{eqnarray*}
+   R_{m}^{3} &=& \displaystyle\sum_{a}\displaystyle\sum_{b} x_{a}x_{b}R_{m,ab}^{3} \\
+   \epsilon  &=& \frac{1}{R_{m}^{3}}\displaystyle\sum_{a}\displaystyle\sum_{b} x_{a}x_{b}\epsilon_{ab}R_{m,ab}^{3} \\
+   \alpha    &=& \frac{1}{\epsilon R_{m}^{3}}\displaystyle\sum_{a}\displaystyle\sum_{b} x_{a}x_{b}\alpha_{ab}\epsilon_{ab}R_{m,ab}^{3} \\
+\end{eqnarray*}                           
+
+\end{document}

doc/src/Eqs/pair_exp6_rx_oneFluid2.tex

@@ -0,0 +1,11 @@
+\documentstyle[12pt]{article}
+\pagestyle{empty}
+\begin{document}
+
+\begin{eqnarray*}
+   \epsilon_{ab} &=& \sqrt{\epsilon_{a}\epsilon_{b}} \\
+   R_{m,ab} &=& \frac{R_{m,a}+R_{m,b}}{2} \\ 
+   \alpha_{ab} &=& \sqrt{\alpha_{a}\alpha_{b}} \\
+\end{eqnarray*}                           
+
+\end{document}