Martynov Vompe: Difference between revisions

Revision as of 15:15, 21 June 2007

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

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

where

y^{*} (r) = \ln y (r) - β Φ_{p}

where $Φ_{p}$ is the perturbative part of the pair potential (Note: in the Weeks-Chandler-Anderson 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 $d U - d P$ thermodynamic consistencies in constructing their closures (Ref. 3).

@@ Line 7: / Line 7: @@
 :<math>\left.y^*(r)\right. = \ln y(r) - \beta \Phi_p</math>
-where <math>\Phi_p</math> is the perturbative part of the [[Intermolecular pair potential  | pair potential]] (Note: in the [[WCA separation]] for the
+where <math>\Phi_p</math> is the perturbative part of the [[Intermolecular pair potential  | pair potential]] (Note: in the [[Weeks-Chandler-Anderson perturbation theory | Weeks-Chandler-Anderson separation]] for the
 [[Lennard-Jones model | Lennard-Jones]] system, the `perturbative part' is the attractive part).
 Martynov and Vompe have used the <math>dp_v-dP_c</math> and <math>dU-dP</math> [[thermodynamic consistencies]]