git-svn-id: svn://svn.icms.temple.edu/lammps-ro/trunk@15096 f3b2605a-c512-4ea7-a41b-209d697bcdaa

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sjplimp
2016-06-02 14:05:29 +00:00
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\documentclass[12pt]{article}
\usepackage{amsmath}
\begin{document}
\begin{align*}
s(\lambda) =& (1 - \lambda) / (1 - \lambda_f), \qquad B = -2D e^{-2 \alpha r_0} (e^{\alpha r_0} - 1) / 3 \\
E =& D_0 \left[ e^{- 2 \alpha (r - r_0)} - 2 e^{- \alpha (r - r_0)} \right] + s(\lambda) B e^{-3\alpha(r-r_0)}, \qquad \hspace{2.85em}\lambda \geq \lambda_f,\quad r < r_c \\
E =& \left( D_0 \left[ e^{- 2 \alpha (r - r_0)} - 2 e^{- \alpha (r - r_0)} \right] + B e^{-3\alpha(r-r_0)} \right)(\lambda/\lambda_f)^n, \qquad \lambda < \lambda_f,\quad r < r_c
\end{align*}
\end{document}