Abstract
Following heuristic arguments, analytic expressions for the radial distribution functiong(r) of one- and three-dimensional sticky hard-core fluids (i.e., square-well fluids in a scaled limit of infinite depth and vanishing width) are proposed. The expressions are derived in terms of the simplest Padé approximant of a function defined in the Laplace space that is consistent with the following physicaly requirements:y(r) ≡e ϕ(r)/k B T g(r) is finite at the contact point, and the isothermal compressibility is finite. In the case of sticky hard rods the expression obtained is exact, while in the case of sticky hard spheres it coincides with the solution of the Percus-Yevick equation.
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Yuste, S.B., Santos, A. Radial distribution function for sticky hard-core fluids. J Stat Phys 72, 703–720 (1993). https://doi.org/10.1007/BF01048029
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DOI: https://doi.org/10.1007/BF01048029