forked from lijiext/lammps
31 lines
989 B
TeX
31 lines
989 B
TeX
\newcommand{\br}{\mathbf{r}}
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\documentclass[12pt]{article}
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\begin{document}
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\begin{equation}
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\xi_{i} = \sum_{j=1}^{12} \left| \br_{j} - \br_{j}^{\rm I} \right|
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\end{equation}
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\begin{equation}
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\xi_{\rm IJ} = \sum_{j=1}^{12} \left| \br_{j}^{\rm J} - \br_{j}^{\rm I} \right|
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\end{equation}
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\begin{eqnarray}
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\xi_{\rm low} &=& {\rm cutlo} \, \xi_{\rm IJ} \\
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\xi_{\rm high} &=& {\rm cuthi} \, \xi_{\rm IJ}
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\end{eqnarray}
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\begin{eqnarray}
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\omega_{i} &=& \frac{\pi}{2}
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\frac{\xi_{i} - \xi_{\rm low}}{\xi_{\rm high} - \xi_{\rm low}} \\
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\mbox{\hspace*{72pt}} \nonumber \\
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u_{i} &=& 0 \mbox{\hspace{84pt} for } \xi_{i} < \xi_{\rm low} \nonumber \\
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&=& {\rm dE}\,\frac{1 - \cos(2 \omega_{i})}{2}
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\mbox{\hspace{10pt} for } \xi_{\rm low} < \xi_{i} < \xi_{\rm high} \\
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&=& {\rm dE} \mbox{\hspace{80pt} for } \xi_{\rm high} < \xi_{i}
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\nonumber
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\end{eqnarray}
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\end{document}
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