Ballone-Pastore-Galli-Gazzillo: Difference between revisions
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The '''Ballone-Pastore-Galli- | The '''Ballone-Pastore-Galli-Gazillo''' (BPGG) (1986) (Eq. 3.8 Ref. 1) [[Closure relations | closure relation]], | ||
developed for [[hard sphere model | 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> | |||
r\right) </math> | |||
where <math>s=15/8</math>. | |||
== References == | 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. | |||
P. Ballone; G. Pastore; G. Galli; D. Gazzillo "Additive and non-additive hard sphere mixtures" Molecular Physics, 59 275 (1986) | Notice that for <math>s=1</math> the BPGG approximation reduces to the [[HNC| hyper-netted chain]] closure. | ||
==References== | |||
Category: Integral equations | #[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]] | |||
Revision as of 15:55, 20 February 2008
The Ballone-Pastore-Galli-Gazillo (BPGG) (1986) (Eq. 3.8 Ref. 1) closure relation, developed for hard sphere mixtures, is given by
![{\displaystyle B(r)=\left[1+s\gamma \left(r\right)\right]^{1/s}-1-\gamma \left(r\right)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/4e5cbe79f0e4b8bffd27db54288eeb82a41809f9)
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.
