Analytical expression for the correlation function of a hard sphere chain fluid

J. Chang, H. Kim

Research output: Contribution to journalArticlepeer-review

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Abstract

A closed form expression is given for the correlation function of flexible hard sphere chain fluid. A set of integral equations obtained from Wertheim's multidensity Ornstein—Zernike integral equation theory with the polymer Percus—Yevick ideal chain approximation is considered. Applying the Laplace transformation method to the integral equations and then solving the resulting equations algebraically, the Laplace transforms of individual correlation functions are obtained. By inverse Laplace transformation the inter- and intramolecular radial distribution functions (RDFs) are obtained in closed forms up to 3D (D is segment diameter). These analytical expressions for the RDFs would be useful in developing the perturbation theory of chain fluids.

Original languageEnglish
Pages (from-to)1789-1794
Number of pages6
JournalMolecular Physics
Volume96
Issue number12
DOIs
StatePublished - Jun 1999

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