Martynov Vompe

The Martynov-Vompe closure relation is given by:

$\left.B\right.=-a(\ln y^{*})-b(\ln y^{*})^{2}$

where

$\left.y^{*}(r)\right.=\ln y(r)-\beta \Phi _{p}$

where $\Phi _{p}$ is the perturbative part of the pair potential (Note: in the Weeks-Chandler-Andersen separation for the Lennard-Jones system, the `perturbative part' is the attractive part). Martynov and Vompe have used the $dp_{v}-dP_{c}$ and $dU-dP$ thermodynamic consistencies in constructing their closures .