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1973•Molecular PhysicsRequires access

The radial distribution function for a fluid of hard spheres at high densities

E. M. Waisman

Open publisher page 449 citations

Abstract

A radial distribution function for hard spheres is obtained, which improves at high densities on the Percus-Yevick function. This is achieved by solving the mean spherical integral equation for a Yukawa form, adjusted to satisfy the Carnahan-Starling equation of state. The solution to the related problem of the mean spherical model approximation for a model fluid which interacts via the hard sphere potential plus the Yukawa potential is reported.

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What this paper is about

A radial distribution function for hard spheres is obtained, which improves at high densities on the Percus-Yevick function. This is achieved by solving the mean spherical integral equation for a Yukawa form, adjusted to satisfy the Carnahan-Starling equation of state. The solution to the related problem of the mean spherical model approximation for a model fluid which interacts via the hard sphere potential plus the Yukawa potential is reported.

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OpenAlex reports 449 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

A radial distribution function for hard spheres is obtained, which improves at high densities on the Percus-Yevick function. This is achieved by solving the mean spherical integral equation for a Yukawa form, adjusted to satisfy the Carnahan-Starling equation of state. The solution to the related problem of the mean spherical model approximation for a model fluid which interacts via the hard sphere potential plus the Yukawa potential is reported.

Key concepts: Yukawa potential, Hard spheres, Equation of state, Radial distribution function, SPHERES, Physics, Distribution function, Distribution (mathematics)

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