forked from lijiext/lammps
23 lines
816 B
TeX
23 lines
816 B
TeX
\documentclass[12pt]{article}
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\begin{document}
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\begin{eqnarray*}
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E & = & LJ(r) \qquad \qquad \qquad r < r_{\rm in} \\
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& = & S(r) * LJ(r) \qquad \qquad r_{\rm in} < r < r_{\rm out} \\
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& = & 0 \qquad \qquad \qquad \qquad r > r_{\rm out} \\
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E & = & C(r) \qquad \qquad \qquad r < r_{\rm in} \\
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& = & S(r) * C(r) \qquad \qquad r_{\rm in} < r < r_{\rm out} \\
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& = & 0 \qquad \qquad \qquad \qquad r > r_{\rm out} \\
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LJ(r) & = & 4 \epsilon \left[ \left(\frac{\sigma}{r}\right)^{12} -
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\left(\frac{\sigma}{r}\right)^6 \right] \\
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C(r) & = & \frac{C q_i q_j}{ \epsilon r} \\
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S(r) & = & \frac{ \left[r_{\rm out}^2 - r^2\right]^2
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\left[r_{\rm out}^2 + 2r^2 - 3{r_{\rm in}^2}\right]}
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{ \left[r_{\rm out}^2 - {r_{\rm in}}^2\right]^3 }
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\end{eqnarray*}
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\end{document}
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