Ballone-Pastore-Galli-Gazzillo: Difference between revisions

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(New page: The '''Ballone-Pastore-Galli-Gazzillo (BPGG)''' (Eq. 3.8 Ref. 1) closure relation, developed for hard sphere mixtures, is given by)
 
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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-Gazillo''' (BPGG) (1986) (Eq. 3.8 Ref. 1) [[Closure relations | closure relation]],
developed for [[Hard-sphere mixtures | mixtures of hard spheres]], is given by
 
:<math>B(r)=\left[ 1+s\gamma \left( r\right) \right] ^{1/s}-1-\gamma \left(r\right) </math>
 
where <math>s=15/8</math>.
It has its origins in the [[Martynov Sarkisov | Martynov-Sarkisov]] closure (<math>s=2</math>).
The value of <math>s</math> can be determined by a self-consistency condition.
Notice that for <math>s=1</math> the BPGG approximation reduces to the [[HNC| hyper-netted chain]] closure.
==References==
#[http://dx.doi.org/10.1080/00268978600102071 P. Ballone;  G. Pastore;  G. Galli; D. Gazzillo "Additive and non-additive hard sphere mixtures"  Molecular Physics, '''59''' pp. 275-290 (1986)]
[[Category: Integral equations]]

Latest revision as of 15:57, 20 February 2008

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

where . It has its origins in the Martynov-Sarkisov closure (). The value of can be determined by a self-consistency condition. Notice that for the BPGG approximation reduces to the hyper-netted chain closure.

References[edit]

  1. P. Ballone; G. Pastore; G. Galli; D. Gazzillo "Additive and non-additive hard sphere mixtures" Molecular Physics, 59 pp. 275-290 (1986)