Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2002-04-11
Mol. Phys. 96, 1-5 (1999)
Physics
Condensed Matter
Statistical Mechanics
5 pages, 4 figures
Scientific paper
10.1080/002689799165936
A simple recipe to derive the compressibility factor of a multicomponent mixture of d-dimensional additive hard spheres in terms of that of the one-component system is proposed. The recipe is based (i) on an exact condition that has to be satisfied in the special limit where one of the components corresponds to point particles; and (ii) on the form of the radial distribution functions at contact as obtained from the Percus-Yevick equation in the three-dimensional system. The proposal is examined for hard discs and hard spheres by comparison with well-known equations of state for these systems and with simulation data. In the special case of d=3, our extension to mixtures of the Carnahan-Starling equation of state yields a better agreement with simulation than the already accurate Boublik-Mansoori-Carnahan-Starling-Leland equation of state.
de Haro Lopez M.
Santos Andrés
Yuste Santos B.
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