Martynov Vompe

The Martynov-Vompe closure relation is given by:

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

where

$y^{*}(r)=\ln y(r)-\beta {\mathrm{\Phi }}_p$

where ${\mathrm{\Phi }}_p$ 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 $d{p}_v-d{P}_c$ and $dU-dP$ thermodynamic consistencies in constructing their closures .