Exact Solution of the Percus-Yevick Integral Equation for Hard Spheres

1963/04/15 by M. S. Wertheim · 15 citations
Engineering · Materials Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Material Dynamics and Properties #Phase Equilibria and Thermodynamics

paper · doi:10.1103/physrevlett.10.321

openalex publication_date 1963/04/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

ABS>The equation of state and the pair distribution for the Percus- Yevick integral equation for the radiai distribution function of a classical fluid are obtained in closed form for the prototype of interacting hard spheres. (D.C.W.)

Citations

• Analysis of Classical Statistical Mechanics by Means of Collective Coordinates

Cited by

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• Structure of penetrable-rod fluids: Exact properties and comparison between Monte Carlo simulations and two analytic theories
• Alternative Approaches to the Equilibrium Properties of Hard-Sphere Liquids
• Perturbative polydispersity: Phase equilibria of near-monodisperse systems
• Structural precursor to freezing: An integral equation study
• Solution of the Percus-Yevick equation for hard disks
• Using relative entropy to find optimal approximations: An application to simple fluids
• Role of Repulsive Forces in Determining the Equilibrium Structure of Simple Liquids
• Equation of state for the Lennard–Jones fluid based on the perturbation theory
• Perturbation Theory and Equation of State for Fluids
• Perturbation Theory and Equation of State for Fluids. II. A Successful Theory of Liquids
• Gone but not forgotten
• Percus–Yevick approximation [wikipedia]