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zqM~BJZx%B`$$J&lcR|8?Rz{(CzW(f2QM*u{K?Bj1!0hEaTy-F(AG%ngVM9H}tEI^2 zmGV7*-SVwhb7wRQeI_lqyvx;9HwNVb2ZH%dj~uFuo%{^2{snlS%uxL@BQ`%%3zLDG zgm_8i04rTo@UU`P%VlFta4e5NImhTa$b6;_qkz`pdlz5(a{Oh>xx>*^)PVec{_A6K zHe?;ewmB^W7xmr&t(6|C2J1`5oeJ!;=Ip8pHx`45JvHM?%)I~3IdkLhJ)#6TL9 z*ss2D4gIRC9i)KzsHv3y;937?3d!DM?Oz}g`uXUrPdk=Gl7}J|Jm;w+q4ukPx@;h$ bGrzP4FA;EM>);V(|1ba4NBn&`eF diff --git a/doc/Eqs/pair_adp.tex b/doc/Eqs/pair_adp.tex index 4ba8ad76ee..07e441f3fa 100644 --- a/doc/Eqs/pair_adp.tex +++ b/doc/Eqs/pair_adp.tex @@ -2,16 +2,6 @@ \begin{document} -\begin{eqnarray*} -E_{i} & = & F_{\alpha} \left( \sum_{j \ne i} \rho(r_{ij}) \right) + -\frac{1}{2} \sum_{j \ne i} \phi_{\alpha \beta} (r_{ij}) + -\frac{1}{2} \sum_{i,s} \left( \mu_{i}^{s} \right)^2 + -\sum_{i,s,t} \left( \lambda_{i}^{st} \right)^2 - \frac{1}{6} \nu_{i} \\ -\mu_{i}^{s} & = & \sum_{i \ne j} u(r_{ij}) r_{ij}^{s} \\ -\lambda_{i}^{st} & = & \sum_{i \ne j} w(r_{ij}) r_{ij}^{s} r_{ij}^{t} \\ -\nu_{i} & = & \sum_{s} \lambda_{i}^{ss} -\end{eqnarray*} - \begin{eqnarray*} E_i & = & F_\alpha \left( \sum_{j\neq i} \rho_\beta (r_{ij}) \right) + \frac{1}{2} \sum_{j\neq i}\phi_{\alpha\beta}(r_{ij})+ \frac{1}{2} \sum_s (\mu_i^s)^2 + \frac{1}{2} \sum_{s,t} (\lambda_i^{st})^2 - \frac{1}{6} \nu_i^2 \\ %