Martynov Sarkisov Vompe: Difference between revisions

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The '''Martynov-Sarkisov-Vompe''' (MSV) (1999) (Eq. 33 Ref. 1) closure is
The '''Martynov-Sarkisov-Vompe''' (MSV) (Eq. 33 of <ref>[http://dx.doi.org/10.1063/1.478276  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)]</ref>) [[Closure relations | closure relation]] is
given in terms of the [[bridge function]]
given in terms of the [[bridge function]]:


:<math>B^{(2)}(r) = - \frac{1}{2} (\omega - \phi)^2</math>
:<math>B^{(2)}(r) = - \frac{1}{2} (\omega - \phi)^2</math>
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:<math>\left.\phi\right. =  \rho \epsilon \beta</math>
:<math>\left.\phi\right. =  \rho \epsilon \beta</math>


where <math>\phi</math> is short-ranged. The [[WCA division]] of the [[Lennard-Jones model |Lennard-Jones]] potential was used.
where <math>\phi</math> is short-ranged. The [[Weeks-Chandler-Andersen perturbation theory | Weeks-Chandler-Andersen division]] of the [[Lennard-Jones model |Lennard-Jones]] potential was used.
(Notice that the Martynov-Sarkisov-Vompe closure, for a hard sphere fluid, becomes the [[Martynov Sarkisov]] closure).
(Notice that the Martynov-Sarkisov-Vompe closure, for a hard sphere fluid, becomes the [[Martynov Sarkisov]] closure).


==References==
==References==
#[http://dx.doi.org/10.1063/1.478276  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)]
<references/>


[[Category: Integral equations]]
[[Category: Integral equations]]

Latest revision as of 12:46, 16 February 2012

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

where

where is short-ranged. The Weeks-Chandler-Andersen 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[edit]