On the radial distribution function of a hard-sphere fluid

Details On the radial distribution function of a hard-sphere fluid On the radial distribution function of a hard-sphere fluid

2006-02-06

arxiv.org/abs/cond-mat/0602125v2

J. Chem. Phys. 124, 236102 (2006)

Physics

Condensed Matter

Statistical Mechanics

3 pages, 1 figure; v2: slightly shortened, figure changed, to be published in JCP

Scientific paper

10.1063/1.2201699

Two related approaches, one fairly recent [A. Trokhymchuk et al., J. Chem. Phys. 123, 024501 (2005)] and the other one introduced fifteen years ago [S. B. Yuste and A. Santos, Phys. Rev. A 43, 5418 (1991)], for the derivation of analytical forms of the radial distribution function of a fluid of hard spheres are compared. While they share similar starting philosophy, the first one involves the determination of eleven parameters while the second is a simple extension of the solution of the Percus-Yevick equation. It is found that the {second} approach has a better global accuracy and the further asset of counting already with a successful generalization to mixtures of hard spheres and other related systems.

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