Analytical expressions for the correlation function of a hard sphere dimer fluid

Soonho Kim, Jaeeon Chang, Hwayong Kim

Research output: Contribution to journalArticlepeer-review

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Abstract

A closed form expression is given for the correlation function of a hard sphere dimer fluid. A set of integral equations is obtained from Wertheim's multidensity Ornstein-Zernike integral equation theory with Percus-Yevick approximation. Applying the Laplace transformation method to the integral equations and then solving the resulting equations algebraically, the Laplace transforms of the individual correlation functions are obtained. By the inverse Laplace transformation, the radial distribution function (RDF) is obtained in closed form out to 3D (D is the segment diameter). The analytical expression for the RDF of the hard dimer should be useful in developing the perturbation theory of dimer fluids.

Original languageEnglish
Pages (from-to)1033-1037
Number of pages5
JournalMolecular Physics
Volume99
Issue number12
DOIs
StatePublished - 20 Jun 2001

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