Martynov Sarkisov Vompe - Revision history

Carl McBride: Updated internal link

2012-02-16T11:46:48Z

Updated internal link

← Older revision		Revision as of 13:46, 16 February 2012
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	The '''Martynov-Sarkisov-Vompe''' (MSV~~) (1999~~) (Eq. 33 ~~Ref~~. 1) [[Closure relations \| closure relation]] 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 [[Weeks-Chandler-~~Anderson~~ perturbation theory \| Weeks-Chandler-~~Anderson~~ 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]]

Carl McBride at 17:06, 26 June 2007

2007-06-26T17:06:43Z

← Older revision		Revision as of 19:06, 26 June 2007
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	The '''Martynov-Sarkisov-Vompe''' (MSV) (1999) (Eq. 33 Ref. 1) closure is		The '''Martynov-Sarkisov-Vompe''' (MSV) (1999) (Eq. 33 Ref. 1) [[Closure relations \| closure relation]] is
	given in terms of the [[bridge function]]		given in terms of the [[bridge function]]

Carl McBride at 14:16, 20 June 2007

2007-06-20T14:16:46Z

← Older revision		Revision as of 16:16, 20 June 2007
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 [[~~WCA~~ division]] of the [[Lennard-Jones model \|Lennard-Jones]] potential was used.		where <math>\phi</math> is short-ranged. The [[Weeks-Chandler-Anderson perturbation theory \| Weeks-Chandler-Anderson 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).

Carl McBride at 13:10, 25 April 2007

2007-04-25T13:10:28Z

← Older revision		Revision as of 15:10, 25 April 2007
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	The Martynov-Sarkisov-Vompe (MSV) (1999) (Eq. 33 Ref. 1) closure is		The '''Martynov-Sarkisov-Vompe''' (MSV) (1999) (Eq. 33 Ref. 1) closure is
	given in terms of the [[bridge function]]		given in terms of the [[bridge function]]

Carl McBride at 18:41, 20 March 2007

2007-03-20T18:41:51Z

← Older revision		Revision as of 20:41, 20 March 2007
Line 1:		Line 1:
	The Martynov-Sarkisov-Vompe (MSV) (1999) (Eq. 33 Ref. 1) closure is		The Martynov-Sarkisov-Vompe (MSV) (1999) (Eq. 33 Ref. 1) closure 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>

Carl McBride at 17:27, 20 March 2007

2007-03-20T17:27:05Z

← Older revision		Revision as of 19:27, 20 March 2007
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 [[WCA division]] of the [[Lennard-Jones]] potential was used.		where <math>\phi</math> is short-ranged. The [[WCA 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).

Nice and Tidy at 15:04, 27 February 2007

2007-02-27T15:04:22Z

← Older revision		Revision as of 17:04, 27 February 2007
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	==References==		==References==
	#[~~JCP_1999_110_03961~~]		#[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)]

			[[Category: Integral equations]]

Carl McBride at 11:48, 23 February 2007

2007-02-23T11:48:13Z

← Older revision		Revision as of 13:48, 23 February 2007
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 [[WCA division]] of the LJ potential was used.		where <math>\phi</math> is short-ranged. The [[WCA division]] of the [[Lennard-Jones]] potential was used.
	(Notice that the ~~MSV~~ closure, for a hard sphere fluid, becomes the MS closure).		(Notice that the Martynov-Sarkisov-Vompe closure, for a hard sphere fluid, becomes the [[Martynov Sarkisov]] closure).

	==References==		==References==
	#[JCP_1999_110_03961]		#[JCP_1999_110_03961]

Carl McBride: New page: The Martynov-Sarkisov-Vompe (MSV) (1999) (Eq. 33 Ref. 1) closure is given in terms of the bridge function : $B^{(2)}(r) = - \frac{1}{2} (\omega - \phi)^2$ where : $\left....$

2007-02-23T11:38:19Z

New page: The Martynov-Sarkisov-Vompe (MSV) (1999) (Eq. 33 Ref. 1) closure is given in terms of the bridge function :<math>B^{(2)}(r) = - \frac{1}{2} (\omega - \phi)^2</math> where :<math>\left....

New page

The Martynov-Sarkisov-Vompe (MSV) (1999) (Eq. 33 Ref. 1) closure is
given in terms of the bridge function

:<math>B^{(2)}(r) = - \frac{1}{2} (\omega - \phi)^2</math>

where

:<math>\left.\phi\right. = \rho \epsilon \beta</math>

where <math>\phi</math> is short-ranged. The [[WCA division]] of the LJ potential was used.
(Notice that the MSV closure, for a hard sphere fluid, becomes the MS closure).

==References==
#[JCP_1999_110_03961]