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fix typos in Kolmolgorov-Crespi potential formula

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Axel Kohlmeyer
2021-06-03 13:12:43 -04:00
parent f3ba2d07f8
commit 415f33134b
2 changed files with 2 additions and 2 deletions
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doc/src/pair_kolmogorov_crespi_full.rst
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@ -36,7 +36,7 @@ No simplification is made,
.. math::
E = & \frac{1}{2} \sum_i \sum_{j \neq i} V_{ij} \\
V_{ij} = & e^{-\lambda (r_{ij} -z_0)} \left [ C + f(\rho_{ij}) + f(\rho_{ji}) - A \left ( \frac{r_{ij}}{z_0}\right )^{-6} \right ] \\
V_{ij} = & e^{-\lambda (r_{ij} -z_0)} \left [ C + f(\rho_{ij}) + f(\rho_{ji}) \right ] - A \left ( \frac{r_{ij}}{z_0}\right )^{-6} \\
\rho_{ij}^2 = & r_{ij}^2 - ({\bf r}_{ij}\cdot {\bf n}_{i})^2 \\
\rho_{ji}^2 = & r_{ij}^2 - ({\bf r}_{ij}\cdot {\bf n}_{j})^2 \\
f(\rho) & = e^{-(\rho/\delta)^2} \sum_{n=0}^2 C_{2n} { (\rho/\delta) }^{2n}

2
doc/src/pair_kolmogorov_crespi_z.rst
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@ -33,7 +33,7 @@ which is to take all normals along the z-axis.
.. math::
E = & \frac{1}{2} \sum_i \sum_{j \neq i} V_{ij} \\
V_{ij} = & e^{-\lambda(r_{ij} -z_0}) \left[ C + f(\rho_{ij}) + f(\rho_{ji}) \right] - A \left( \frac{r_{ij}}{z_0}\right)^{-6} + A \left( \frac{\textrm{cutoff}}{z_0}\right)^{-6} \\
V_{ij} = & e^{-\lambda(r_{ij} -z_0)} \left[ C + f(\rho_{ij}) + f(\rho_{ji}) \right] - A \left( \frac{r_{ij}}{z_0}\right)^{-6} + A \left( \frac{\textrm{cutoff}}{z_0}\right)^{-6} \\
\rho_{ij}^2 = & \rho_{ji}^2 = x_{ij}^2 + y_{ij}^2 \qquad \qquad (\mathbf{n}_i \equiv \mathbf{\hat{z}}) \\
f(\rho) = & e^{-(\rho/\delta)^2} \sum_{n=0}^2 C_{2n} \left( \rho/\delta \right)^{2n}