Alternative Approaches to the Equilibrium Properties of Hard-Sphere Liquids

Details Alternative Approaches to the Equilibrium Properties of Hard-Sphere Liquids Alternative Approaches to the Equilibrium Properties of Hard-Sphere Liquids

2007-04-02

arxiv.org/abs/0704.0157v1

Theory and Simulation of Hard-Sphere Fluids and Related Systems, Lectures Notes in Physics, vol. 753, Angel Mulero, ed. (Sprin

Physics

Condensed Matter

Statistical Mechanics

64 pages; 13 figures; to appear in "Playing with Marbles: Theory and Simulation of Hard-Sphere Fluids and Related Systems", ed

Scientific paper

10.1007/978-3-540-78767-9_6

An overview of some analytical approaches to the computation of the structural and thermodynamic properties of single component and multicomponent hard-sphere fluids is provided. For the structural properties, they yield a thermodynamically consistent formulation, thus improving and extending the known analytical results of the Percus-Yevick theory. Approximate expressions for the contact values of the radial distribution functions and the corresponding analytical equations of state are also discussed. Extensions of this methodology to related systems, such as sticky hard spheres and square-well fluids, as well as its use in connection with the perturbation theory of fluids are briefly addressed.

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