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}