diff --git a/doc/src/Eqs/compute_dpd.jpg b/doc/src/Eqs/compute_dpd.jpg index 42ed03db15..549f259c6c 100644 Binary files a/doc/src/Eqs/compute_dpd.jpg and b/doc/src/Eqs/compute_dpd.jpg differ diff --git a/doc/src/Eqs/compute_dpd.tex b/doc/src/Eqs/compute_dpd.tex index 3d4338db08..e46b0b4dd6 100644 --- a/doc/src/Eqs/compute_dpd.tex +++ b/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*} diff --git a/doc/src/Eqs/fix_eos_table_rx.jpg b/doc/src/Eqs/fix_eos_table_rx.jpg new file mode 100644 index 0000000000..0172281b6c Binary files /dev/null and b/doc/src/Eqs/fix_eos_table_rx.jpg differ diff --git a/doc/src/Eqs/fix_eos_table_rx.tex b/doc/src/Eqs/fix_eos_table_rx.tex new file mode 100644 index 0000000000..b8b486387d --- /dev/null +++ b/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} diff --git a/doc/src/Eqs/fix_rx.jpg b/doc/src/Eqs/fix_rx.jpg new file mode 100644 index 0000000000..d63b983230 Binary files /dev/null and b/doc/src/Eqs/fix_rx.jpg differ diff --git a/doc/src/Eqs/fix_rx.tex b/doc/src/Eqs/fix_rx.tex new file mode 100644 index 0000000000..9400656038 --- /dev/null +++ b/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} diff --git a/doc/src/Eqs/fix_rx_localTemp.jpg b/doc/src/Eqs/fix_rx_localTemp.jpg new file mode 100644 index 0000000000..2b5147b930 Binary files /dev/null and b/doc/src/Eqs/fix_rx_localTemp.jpg differ diff --git a/doc/src/Eqs/fix_rx_localTemp.tex b/doc/src/Eqs/fix_rx_localTemp.tex new file mode 100644 index 0000000000..cbb191f8f4 --- /dev/null +++ b/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} diff --git a/doc/src/Eqs/fix_rx_localTemp2.jpg b/doc/src/Eqs/fix_rx_localTemp2.jpg new file mode 100644 index 0000000000..c838d7d453 Binary files /dev/null and b/doc/src/Eqs/fix_rx_localTemp2.jpg differ diff --git a/doc/src/Eqs/fix_rx_localTemp2.tex b/doc/src/Eqs/fix_rx_localTemp2.tex new file mode 100644 index 0000000000..0b524adc00 --- /dev/null +++ b/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} diff --git a/doc/src/Eqs/fix_rx_reaction.jpg b/doc/src/Eqs/fix_rx_reaction.jpg new file mode 100644 index 0000000000..e656cd8362 Binary files /dev/null and b/doc/src/Eqs/fix_rx_reaction.jpg differ diff --git a/doc/src/Eqs/fix_rx_reaction.tex b/doc/src/Eqs/fix_rx_reaction.tex new file mode 100644 index 0000000000..e9515f1326 --- /dev/null +++ b/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} diff --git a/doc/src/Eqs/fix_rx_reactionRate.jpg b/doc/src/Eqs/fix_rx_reactionRate.jpg new file mode 100644 index 0000000000..cf79c36089 Binary files /dev/null and b/doc/src/Eqs/fix_rx_reactionRate.jpg differ diff --git a/doc/src/Eqs/fix_rx_reactionRate.tex b/doc/src/Eqs/fix_rx_reactionRate.tex new file mode 100644 index 0000000000..4974ece1cb --- /dev/null +++ b/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} diff --git a/doc/src/Eqs/pair_exp6_rx.jpg b/doc/src/Eqs/pair_exp6_rx.jpg new file mode 100644 index 0000000000..6ee321ea6d Binary files /dev/null and b/doc/src/Eqs/pair_exp6_rx.jpg differ diff --git a/doc/src/Eqs/pair_exp6_rx.tex b/doc/src/Eqs/pair_exp6_rx.tex new file mode 100644 index 0000000000..fe36aeaa34 --- /dev/null +++ b/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} diff --git a/doc/src/Eqs/pair_exp6_rx_oneFluid.jpg b/doc/src/Eqs/pair_exp6_rx_oneFluid.jpg new file mode 100644 index 0000000000..5059c02e90 Binary files /dev/null and b/doc/src/Eqs/pair_exp6_rx_oneFluid.jpg differ diff --git a/doc/src/Eqs/pair_exp6_rx_oneFluid.tex b/doc/src/Eqs/pair_exp6_rx_oneFluid.tex new file mode 100644 index 0000000000..2f2efd4fa1 --- /dev/null +++ b/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} diff --git a/doc/src/Eqs/pair_exp6_rx_oneFluid2.jpg b/doc/src/Eqs/pair_exp6_rx_oneFluid2.jpg new file mode 100644 index 0000000000..7144aea4f4 Binary files /dev/null and b/doc/src/Eqs/pair_exp6_rx_oneFluid2.jpg differ diff --git a/doc/src/Eqs/pair_exp6_rx_oneFluid2.tex b/doc/src/Eqs/pair_exp6_rx_oneFluid2.tex new file mode 100644 index 0000000000..1d1214f229 --- /dev/null +++ b/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} diff --git a/doc/src/Eqs/pair_multi_lucy.jpg b/doc/src/Eqs/pair_multi_lucy.jpg index 7bc8174ad7..b73cc69236 100644 Binary files a/doc/src/Eqs/pair_multi_lucy.jpg and b/doc/src/Eqs/pair_multi_lucy.jpg differ diff --git a/doc/src/Eqs/pair_multi_lucy2.jpg b/doc/src/Eqs/pair_multi_lucy2.jpg index 04567dda6b..2edf0b56fd 100644 Binary files a/doc/src/Eqs/pair_multi_lucy2.jpg and b/doc/src/Eqs/pair_multi_lucy2.jpg differ diff --git a/doc/src/Eqs/pair_multi_lucy_energy.jpg b/doc/src/Eqs/pair_multi_lucy_energy.jpg index 0f39011e1d..4cd5251b6e 100644 Binary files a/doc/src/Eqs/pair_multi_lucy_energy.jpg and b/doc/src/Eqs/pair_multi_lucy_energy.jpg differ