Martynov Sarkisov Vompe: Difference between revisions
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The Martynov-Sarkisov-Vompe (MSV | 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> | ||
| Line 8: | Line 8: | ||
:<math>\left.\phi\right. = \rho \epsilon \beta</math> | :<math>\left.\phi\right. = \rho \epsilon \beta</math> | ||
where <math>\phi</math> is short-ranged. The [[ | 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== | ||
<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).
