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Ballone-Pastore-Galli-Gazzillo

2008-02-20T14:01:17Z

157.138.11.43:

The '''Ballone-Pastore-Galli-Gazzillo (BPGG)''' closure relation (1986) (Eq. 3.8 Ref. 1), originally developed for hard sphere mixtures, is given by

<math>B(r)=\left[ 1+s\gamma \left( r\right) \right] ^{1/s}-1-\gamma \left(
r\right) </math>
where s = 15 / 8. It has its origin in the Martynov-Sarkisov closure (s = 2). The value of s can be determined by a self-consistency condition.
Notice that for s = 1 the BPGG approximation reduces to the hypernetted chain closure.

== References ==

P. Ballone; G. Pastore; G. Galli; D. Gazzillo "Additive and non-additive hard sphere mixtures" Molecular Physics, 59 275 (1986)

Category: Integral equations

Ballone-Pastore-Galli-Gazzillo

2008-02-20T13:11:30Z

157.138.11.43:

The '''Ballone-Pastore-Galli-Gazzillo (BPGG)''' closure relation (1986) (Eq. 3.8 Ref. 1), originally developed for hard sphere mixtures, is given by

<math>B(r)=\left[ 1-s\gamma \left( r\right) \right] ^{1/s}-1-\gamma \left(
r\right) </math>
where s = 15 / 8. It has its origin in the Martynov-Sarkisov closure (s = 2). The value of s can be determined by a self-consistency condition.
Notice that for s = 1 the BPGG approximation reduces to the hypernetted chain closure.

== References ==

P. Ballone; G. Pastore; G. Galli; D. Gazzillo "Additive and non-additive hard sphere mixtures" Molecular Physics, 59 275 (1986)

Category: Integral equations

Ballone-Pastore-Galli-Gazzillo

2008-02-20T13:06:55Z

157.138.11.43:

The '''Ballone-Pastore-Galli-Gazzillo (BPGG)''' closure relation (1986) (Eq. 3.8 Ref. 1), developed for hard sphere mixtures, is given by

<math>B(r)=\left[ 1-s\gamma \left( r\right) \right] ^{1/s}-1-\gamma \left(
r\right) </math>
where s = 15 / 8. It has its origin in the Martynov-Sarkisov closure (s = 2). Notice that for s = 1 this reduces to the hyper-netted chain closure.

[edit]

== Headline text ==
References
P. Ballone; G. Pastore; G. Galli; D. Gazzillo "Additive and non-additive hard sphere mixtures" Molecular Physics, 59 275 (1986)
Retrieved from "http://www.sklogwiki.org/SklogWiki/index.php/Ballone-Pastore-Galli-Gazillo"
Category: Integral equations

Ballone-Pastore-Galli-Gazzillo

2008-02-20T13:00:55Z

157.138.11.43:

The '''Ballone-Pastore-Galli-Gazzillo (BPGG)''' closure relation (1986) (Eq. 3.8 Ref. 1), developed for hard sphere mixtures, is given by
<math>B = (1-s \gamma ) - 1 - \gamma</math>
where s = 15 / 8. It has its origin in the Martynov-Sarkisov closure (s = 2). Notice that for s = 1 this reduces to the hyper-netted chain closure.

[edit] References
P. Ballone; G. Pastore; G. Galli; D. Gazzillo "Additive and non-additive hard sphere mixtures" Molecular Physics, 59 275 (1986)
Retrieved from "http://www.sklogwiki.org/SklogWiki/index.php/Ballone-Pastore-Galli-Gazillo"
Category: Integral equations

Ballone-Pastore-Galli-Gazzillo

2008-02-20T12:58:07Z

157.138.11.43:

The '''Ballone-Pastore-Galli-Gazzillo (BPGG)''' closure relation (1986)(Eq. 3.8 Ref. 1), developed for hard sphere mixtures, is given by

Ballone-Pastore-Galli-Gazzillo

2008-02-20T12:55:49Z

157.138.11.43: New page: The '''Ballone-Pastore-Galli-Gazzillo (BPGG)''' (Eq. 3.8 Ref. 1) closure relation, developed for hard sphere mixtures, is given by

The '''Ballone-Pastore-Galli-Gazzillo (BPGG)''' (Eq. 3.8 Ref. 1) closure relation, developed for hard sphere mixtures, is given by

List of closures for integral equations

2008-02-20T12:45:19Z

157.138.11.43:

*[[Ballone-Pastore-Galli-Gazzillo]]
*[[Duh Haymet]]
*[[Duh Henderson]]
*[[Exact solution of the Percus Yevick integral equation for hard spheres]]
*[[HMSA]]
*[[Hyper-netted chain]]
*[[HNC2]]
*[[HNC3]]
*[[Martynov Sarkisov]]
*[[Martynov Sarkisov Vompe]]
*[[Martynov Vompe]]
*[[Mean spherical approximation]]
*[[Percus Yevick]]
*[[Percus Yevick II]]
*[[RHNC]]
*[[Soft-core mean spherical approximation]]
*[[Verlet modified]]
*[[Yukawa closure]]
*[[Zerah-Hansen closure]]
[[category: integral equations]]