Alternative Approaches to the Equilibrium Properties of Hard-Sphere Liquids

Abstract

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.

64 pages; 13 figures; to appear in "Playing with Marbles: Theory and Simulation of Hard-Sphere Fluids and Related Systems", edited by A. Mulero (Springer, to be published)

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• How `sticky' are short-range square-well fluids?
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Cited by in corpus (9)

• Low-temperature and high-temperature approximations for penetrable-sphere fluids. Comparison with Monte Carlo simulations and integral equation theories
• Structure characterization of hard sphere packings in amorphous and crystalline states
• Depletion force in the infinite-dilution limit in a solvent of nonadditive hard spheres
• Contact values for disparate-size hard-sphere mixtures
• Equation of State of Four- and Five-Dimensional Hard-Hypersphere Mixtures
• Excluded-Volume Approximation for Supernova Matter
• A heuristic approach for the densest packing fraction of hard-sphere mixtures
• Discontinuous Structural Transitions in Fluids with Competing Interactions
• Use of the attractive hard-core Yukawa interaction for the derivation of the phase diagram of liquid water