Geodesic
Percus–Yevick equation for systems in external fields
Teoretičeskaâ i matematičeskaâ fizika, Tome 7 (1971) no. 1, pp. 121-128 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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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/

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