Exact solution of the Percus-Yevick equation for a hard-core fluid in odd dimensions

DOI10.1016/0378-4371(84)90050-5zbMath0599.76010OpenAlexW2076912375MaRDI QIDQ1080712

E. Leutheusser

Publication date: 1984

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4371(84)90050-5

zbMATH Keywords

nonlinear integral equationpair distribution functiondirect correlation functionhard-core potentialPercus-Yevick integral equation

Mathematics Subject Classification ID

Statistical mechanics of liquids (82D15) Foundations of fluid mechanics (76A02)

Related Items (7)

Density nonlinearities and a field theory for the dynamics of simple fluids ⋮ Alternative Approaches to the Equilibrium Properties of Hard-Sphere Liquids ⋮ Static properties of quasi-confined hard-sphere fluids ⋮ Thermodynamics and structure of simple liquids in the hyperbolic plane ⋮ Ninth and tenth order virial coefficients for hard spheres in \(D\) dimensions ⋮ Statistical-mechanical theory of nonlinear density fluctuations near the glass transition ⋮ A generalization of the carnahan-starling approach with applications to four- and five-dimensional hard spheres

Cites Work

• Analysis of Classical Statistical Mechanics by Means of Collective Coordinates
• On the equivalence of the Ornstein–Zernike relation and Baxter’s relations for a one-dimensional simple fluid
• Analytic Solution of the Percus-Yevick Equation

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