Analytic Solution of the Percus-Yevick Equation

DOI10.1063/1.1704158zbMath0128.22503OpenAlexW2044021790MaRDI QIDQ5336201

M. S. Wertheim

Publication date: 1964

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1704158

zbMATH Keywords

mechanics of particles and systems

Related Items (23)

Comments on the mean spherical approximation for hard-core and soft potentials and an application to the one-component plasma ⋮ Exact solution of the Percus-Yevick equation for a hard-core fluid in odd dimensions ⋮ A class of partial integro-differential equations with correlation-convolution integral. I ⋮ Structure of Hard Spheres and Related Systems ⋮ Metastable states of microgel fluids with Hertzian interaction potentials ⋮ A solution of the multiple-binding mean spherical approximation for ionic mixtures ⋮ Unnamed Item ⋮ On the equivalence of the Ornstein–Zernike relation and Baxter’s relations for a one-dimensional simple fluid ⋮ Static properties of quasi-confined hard-sphere fluids ⋮ Two hard spheres in a spherical pore: Exact analytic results in two and three dimensions ⋮ On the analytical solution of the Ornstein-Zernike equation with Yukawa closure ⋮ Existence and uniqueness theorems for a nonlinear integral equation ⋮ Ninth and tenth order virial coefficients for hard spheres in \(D\) dimensions ⋮ The general solution of the binding mean spherical approximation for pairing ions ⋮ STATE EQUATION FOR THE THREE-DIMENSIONAL SYSTEM OF "COLLAPSING" HARD SPHERES ⋮ Differential-difference equations for the radial distribution function of hard rods and hard spheres under Percus-Yevick approximation ⋮ Perturbative solution of the Percus–Yevick integral equation for a general class of intermolecular potential ⋮ Convolution equations and nonlinear functional equations ⋮ On the phase transition of the three-dimensional Percus–Yevick equation for an arbitrary potential of finite range ⋮ Response factorization of simply connected Ising lattices with application to Bethe lattice spin glasses ⋮ Continuum percolation of the four-bonding-site associating fluids ⋮ COMMENTS ON "STATE EQUATION FOR THE THREE-DIMENSIONAL SYSTEM OF 'COLLAPSING' HARD SPHERES" ⋮ A nonlinear integral equation

Cites Work

• Analysis of Classical Statistical Mechanics by Means of Collective Coordinates
• Exact Solution of the Percus-Yevick Integral Equation for Hard Spheres

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