Ballone-Pastore-Galli-Gazzillo: Difference between revisions
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The '''Ballone-Pastore-Galli-Gazillo''' (BPGG) (1986) (Eq. 3.8 Ref. 1) [[Closure relations | closure relation]], | The '''Ballone-Pastore-Galli-Gazillo''' (BPGG) (1986) (Eq. 3.8 Ref. 1) [[Closure relations | closure relation]], | ||
developed for [[ | 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> | :<math>B(r)=\left[ 1+s\gamma \left( r\right) \right] ^{1/s}-1-\gamma \left(r\right) </math> | ||
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
![{\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.
