Unverified Commit 0b10c0ac authored by Axel Kohlmeyer's avatar Axel Kohlmeyer
Browse files

convert math in more pair styles

parent 54b74804
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doc/src/Eqs/pair_edpd_force.jpg

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doc/src/Eqs/pair_edpd_force.tex

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\documentclass[12pt]{article}

\begin{document}

$$
  \mathbf{F}_{ij}^{C} = \alpha_{ij}{\omega_{C}}(r_{ij})\mathbf{e}_{ij},
$$

$$
  \mathbf{F}_{ij}^{D} = -\gamma {\omega_{D}}(r_{ij})(\mathbf{e}_{ij} \cdot \mathbf{v}_{ij})\mathbf{e}_{ij},
$$

$$
  \mathbf{F}_{ij}^{R} = \sigma {\omega_{R}}(r_{ij}){\xi_{ij}}\Delta t^{-1/2} \mathbf{e}_{ij},
$$

$$
  \omega_{C}(r) = 1 - r/r_c,
$$

$$
  \alpha_{ij} = A\cdot k_B(T_i + T_j)/2,
$$

$$  
  \omega_{D}(r) = \omega^2_{R}(r) = (1-r/r_c)^s,
$$

$$  
  \sigma_{ij}^2 = 4\gamma k_B T_i T_j/(T_i + T_j),
$$

\end{document}

doc/src/Eqs/pair_edpd_gov.jpg

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doc/src/Eqs/pair_edpd_gov.tex

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\documentclass[12pt]{article}

\begin{document}

$$
  \frac{\mathrm{d}^2 \mathbf{r}_i}{\mathrm{d} t^2}=
  \frac{\mathrm{d} \mathbf{v}_i}{\mathrm{d} t}
  =\mathbf{F}_{i}=\sum_{i\neq j}(\mathbf{F}_{ij}^{C}+\mathbf{F}_{ij}^{D}+\mathbf{F}_{ij}^{R}),
$$

$$
  C_v\frac{\mathrm{d} T_i}{\mathrm{d} t}= q_{i} = \sum_{i\neq j}(q_{ij}^{C}+q_{ij}^{V}+q_{ij}^{R}),
$$

\end{document}

doc/src/Eqs/pair_edpd_heat.jpg

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