Exact solution of the Percus Yevick integral equation for hard spheres: Difference between revisions
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#[PR_1964_133_00A895] | #[PR_1964_133_00A895] | ||
#[JCP_1963_39_00474] | #[JCP_1963_39_00474] | ||
[[Category: Integral equations]] |
Revision as of 13:19, 27 February 2007
The exact solution for the Percus Yevick integral equation for hard spheres was derived by M. S. Wertheim in 1963 Ref. 1 (See also Ref. 2) (and for mixtures by in Lebowitz 1964 Ref. 3). The direct correlation function is given by (Ref. 1 Eq. 6)
where
and R is the hard sphere diameter. The equation of state is (Ref. 1 Eq. 7)
Everett Thiele (1963 Ref. 4}) also studied this system, resulting in (Eq. 23)
where (Eq. 24)
and
and
and where . The pressure via the pressure route (Eq.s 32 and 33) is
and the compressibility route is
References
- [PRL_1963_10_000321]
- [JMP_1964_05_00643]
- [PR_1964_133_00A895]
- [JCP_1963_39_00474]