Multicomponent fluids of hard hyperspheres in odd dimensions

Details Multicomponent fluids of hard hyperspheres in odd dimensions Multicomponent fluids of hard hyperspheres in odd dimensions

2010-10-20

arxiv.org/abs/1010.4120v2

Phys. Rev. E 83, 011201 (2011)

Physics

Condensed Matter

Soft Condensed Matter

16 pages, 8 figures; v2: slight change of notation

Scientific paper

10.1103/PhysRevE.83.011201

Mixtures of hard hyperspheres in odd space dimensionalities are studied with an analytical approximation method. This technique is based on the so-called Rational Function Approximation and provides a procedure for evaluating equations of state, structure factors, radial distribution functions, and direct correlations functions of additive mixtures of hard hyperspheres with any number of components and in arbitrary odd-dimension space. The method gives the exact solution of the Ornstein--Zernike equation coupled with the Percus--Yevick closure, thus extending to arbitrary odd dimension the solution for hard-sphere mixtures [J. L. Lebowitz, Phys.\ Rev.\ \textbf{133}, 895 (1964)]. Explicit evaluations for binary mixtures in five dimensions are performed. The results are compared with computer simulations and a good agreement is found.

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