Percus--Yevick equation for systems in external fields
Teoretičeskaâ i matematičeskaâ fizika, Tome 7 (1971) no. 1, pp. 121-128
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The Percus–Yevick equation for the radial distribution function is generalized to the case of
external fields and an arbitrary form of the potential of the two-particle interaction. The resulting
equation is closed by means of the exact Bogolyubov equation for the single-particle
distribution function. An investigation is made of the asymptotic (for large distances) behavior
of the solution for the radial distribution function and a virial expansion is found for a lowdensity gas. The equation obtained is used to calculate the shift of the critical temperature
of a paramagnetic liquid under the influence of a weak magnetic field.
@article{TMF_1971_7_1_a12,
author = {N. P. Kovalenko and Yu. P. Krasnyi},
title = {Percus--Yevick equation for systems in external fields},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {121--128},
publisher = {mathdoc},
volume = {7},
number = {1},
year = {1971},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1971_7_1_a12/}
}
N. P. Kovalenko; Yu. P. Krasnyi. Percus--Yevick equation for systems in external fields. Teoretičeskaâ i matematičeskaâ fizika, Tome 7 (1971) no. 1, pp. 121-128. http://geodesic.mathdoc.fr/item/TMF_1971_7_1_a12/