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Mean spherical approximation equations for a symmetric hard-core two-yukawa mixture

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  • Konior, J.
  • Jȩdrzejek, C.

Abstract

An efficient method for solving the mean spherical approximation (MSA) integral equation for a symmetric hard-core mixture with a two-Yukawa closure is presented. The equal-diameter mixture consists of two species, labeled 1 and 2, with the same number densities of both species (ϱ1=ϱ2). For such a mixture the MSA equations decouple into two fictitious single-component subsystems. The “+” (“-”) subsystem is described by the Ornstein-Zernike (OZ) equation with the “core” (“empty core”) condition plus the two-Yukawa closure. For the considered mixture, differences Δƒ between its reducedproperties and those of an equivalent quasi “one-fluid” are exactly described by the solution of the OZ equation for the “-” subsystem. In the MSA, for a given ratio Tϱ, Δƒ is smaller for larger T and ϱ. This results from the exact scaling for the “-” subsystem. For all thermodynamic quantities and correlation functions. ƒ (λϱ.λT) = ƒ (ϱ.T)/λ for arbitrary positive λ.

Suggested Citation

  • Konior, J. & Jȩdrzejek, C., 1989. "Mean spherical approximation equations for a symmetric hard-core two-yukawa mixture," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 161(2), pages 339-356.
    • Handle: RePEc:eee:phsmap:v:161:y:1989:i:2:p:339-356
    DOI: 10.1016/0378-4371(89)90472-X
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    References listed on IDEAS

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    1. Stella, A.L. & Toigo, F., 1977. "Renormalization and scaling of a two-dimensional Ising system in a transverse field at Tc>0," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 89(1), pages 175-190.
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