If one defines a class of diagrams by the linear combination (Eq. 5.18 Ref.1)
(See G. Stell in Ref. 2)
one has the exact integral equation
The Percus-Yevick integral equation sets D(r)=0.
Percus-Yevick (PY) proposed in 1958 Ref. 3
The PY closure can be written as (Ref. 3 Eq. 61)
or
or (Eq. 10 in Ref. 4)
or (Eq. 2 of Ref. 5)
or in terms of the bridge function
Note: the restriction arising from the logarithmic term Ref. 6.
A critical look at the PY was undertaken by Zhou and Stell in Ref. 7.
References
- [RPP_1965_28_0169]
- [P_1963_29_0517_nolotengoElsevier]
- [PR_1958_110_000001]
- [MP_1983_49_1495]
- [PRA_1984_30_000999]
- [JCP_2002_116_08517]
- [JSP_1988_52_1389_nolotengoSpringer]