Exact solution of the Percus-Yevick equation for a hard-core fluid in odd dimensions
type: Item
instance of: scholarly article
title: Exact solution of the Percus-Yevick equation for a hard-core fluid in odd dimensions
zbMATH Open document ID: 0599.76010
DOI: 10.1016/0378-4371(84)90050-5
author: E. Leutheusser
published in: Physica A
publication date: 1984-01-01T00:00:00Z
review text: It is shown that the Percus-Yevick integral equation for the pair distribution function of a fluid interacting with a hard-core potential can be solved not only in one and three dimensions, where the solution is well known, but more generaly in all odd dimensions. The nonlinear integral equation is reduced to an algebraic equation of order d-3 for odd dimensions d greater than three. As an example the direct correlation function in five dimensions is derived explicitly.
Mathematics Subject Classification ID: 76A02
Mathematics Subject Classification ID: 82D15
zbMATH DE Number: 3968107
zbMATH Keywords: Percus-Yevick integral equation
zbMATH Keywords: pair distribution function
zbMATH Keywords: hard-core potential
zbMATH Keywords: nonlinear integral equation
zbMATH Keywords: direct correlation function
MaRDI profile type: Publication
full work available at URL: 0378-4371(84)90050-5
OpenAlex ID: W2076912375
cites work: Analysis of Classical Statistical Mechanics by Means of Collective Coordinates
cites work: Analytic Solution of the Percus-Yevick Equation
cites work: On the equivalence of the Ornstein–Zernike relation and Baxter’s relations for a one-dimensional simple fluid
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description: scientific article; zbMATH DE number 3968107