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Delta-function expansion of Mayer function with application to virial coefficients

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Abstract

The Mayer cluster integrals of a fluid with smooth, repulsive interactions are expanded in orders of a well-defined softness parameter. To first but not second order in softness, all virial coefficients are given by their hard-sphere forms with an effective diameter. A closed asymptotic expression is derived for the third virial coefficient which gives excellent results for the inverse power and exponential potentials.

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Authors and Affiliations

  1. Cryogenics Division, Institute for Basic Standards, National Bureau of Standards, Boulder, Colorado

    James C. Rainwater (NBS-NRC Postdoctoral Fellow)

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  1. James C. Rainwater
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Rainwater, J.C. Delta-function expansion of Mayer function with application to virial coefficients. J Stat Phys 19, 177–189 (1978). https://doi.org/10.1007/BF01012510

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  • DOI: https://doi.org/10.1007/BF01012510

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