Martynov Vompe

The Martynov-Vompe (Refs. 1 and 2) closure

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.B\right.=-a(\ln y^*) - b(\ln y^*)^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.y^*(r)\right. = \ln y(r) - \beta \Phi_p}

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_p} is the perturbative part of the pair potential (Note: in the WCA separation for the Lennard-Jones system, the `perturbative part' is the attractive part). Martynov and Vompe have used the 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 dp_v-dP_c} and 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 dU-dP} thermodynamic consistencies in constructing their closures (Ref. 3).

References

1. G. A. Martynov and A. G. Vompe "Differential condition of thermodynamic consistency as a closure for the Ornstein-Zernike equation", Physical Review E, 47 pp. 1012 - 1017 (1993)
2. [http://dx.doi.org/
3. [http://dx.doi.org/
4. [JCP_1994_100_05249]
5. [JCP_1996_104_08058]

[[Category:Integral equations]+