Ballone-Pastore-Galli-Gazzillo

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

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle B(r)=\left[ 1-s\gamma \left( r\right) \right] ^{1/s}-1-\gamma \left( r\right) }

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