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Analytic solution of Percus-Yevick equation for fluid of hard spheres

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Czechoslovak Journal of Physics B Aims and scope

Abstract

A new method of analytic solution of the Percus-Yevick equation for the radial distribution functiong(r) of hard-sphere fluid is proposed. The original non-linear integral equation is reduced to non-homogeneous linear integral equation of Volterra's type of the second order. The kernel of this new equation has a polynomial form which allows to find analytic expression forg(r) itself without using the Laplace transformation. In addition, the first three moments of the total correlation function can be found.

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Authors and Affiliations

  1. Institute of Chemical Process Fundamentals, Czechosl. Acad. Sci., Prague, Suchdol 2, 165 02, Praha 6, Czechoslovakia

    I. Nezbeda

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  1. I. Nezbeda
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Nezbeda, I. Analytic solution of Percus-Yevick equation for fluid of hard spheres. Czech J Phys 24, 55–62 (1974). https://doi.org/10.1007/BF01596443

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  • DOI: https://doi.org/10.1007/BF01596443

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