Multicomponent fluids of hard hyperspheres in odd dimensions
arXiv:1010.4120 · doi:10.1103/PhysRevE.83.011201
Abstract
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.
16 pages, 8 figures; v2: slight change of notation
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Cited by in corpus (9)
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- Rational-function approximation for fluids interacting via piece-wise constant potentials
- Nonadditive hard-sphere fluid mixtures: A simple analytical theory
- Exact solution of the Percus-Yevick integral equation for fluid mixtures of hard hyperspheres
- Multicomponent fluid of nonadditive hard spheres near a wall
- Equation of State of Four- and Five-Dimensional Hard-Hypersphere Mixtures
- Conditional pair distributions in many-body systems: Exact results for Poisson ensembles
- Equation of state for five-dimensional hyperspheres from the chemical-potential route