diff --git a/doc/Eqs/pair_edip.tex b/doc/Eqs/pair_edip.tex new file mode 100644 index 0000000000..e8a1931006 --- /dev/null +++ b/doc/Eqs/pair_edip.tex @@ -0,0 +1,20 @@ +\documentclass[12pt]{article} + +\begin{document} + +\begin{eqnarray*} +E = \sum_{j \ne i} \phi_{2}(R_{ij}, Z_{i}) + \sum_{j \ne i} \sum_{k \ne i,k > j} \phi_{3}(R_{ij}, R_{ik}, Z_{i}) \\ +Z_i = \sum_{m \ne i} f(R_{im}) \qquad + f(r) = \begin{cases} + 1 & \quad ra + \end{cases} \\ +\phi_{2}(r, Z) = A\left[\left(\frac{B}{r}\right)^{\rho} - e^{-\beta Z^2}\right]exp{\left(\frac{\sigma}{r-a}\right)} \\ +\phi_{3}(R_{ij}, R_{ik}, Z_i) = exp{\left(\frac{\gamma}{R_{ij}-a}\right)}exp{\left(\frac{\gamma}{R_{ik}-a}\right)}h(cos\theta_{ijk},Z_i) \\ +h(l,Z) = \lambda [(1-e^{-Q(Z)(l+\tau(Z))^2}) + \eta Q(Z)(l+\tau(Z))^2 ] \\ +Q(Z) = Q_0 e^{-\mu Z} \qquad \tau(Z) = u_1 + u_2 (u_3 e^{-u_4 Z} - e^{-2u_4 Z}) +\end{eqnarray*} + +\end{document} +