Martynov Sarkisov Vompe

The Martynov-Sarkisov-Vompe (MSV) (1999) (Eq. 33 Ref. 1) closure relation is given in terms of the bridge function

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle B^{(2)}(r) = - \frac{1}{2} (\omega - \phi)^2}

where

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \left.\phi\right. = \rho \epsilon \beta}

where Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \phi} is short-ranged. The Weeks-Chandler-Anderson division of the Lennard-Jones potential was used. (Notice that the Martynov-Sarkisov-Vompe closure, for a hard sphere fluid, becomes the Martynov Sarkisov closure).

References

1. G. A. Martynov, G. N. Sarkisov and A. G. Vompe "New closure for the Ornstein–Zernike equation" Journal of Chemical Physics 110 pp. 3961-3969 (1999)