Algebraic perturbation theory for dense liquids with discrete potentials

Details Algebraic perturbation theory for dense liquids with discrete potentials Algebraic perturbation theory for dense liquids with discrete potentials

2006-12-28

arxiv.org/abs/cond-mat/0612674v1

Phys. Rev. E 75, 061204 (2007)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures

Scientific paper

10.1103/PhysRevE.75.061204

A simple theory for the leading-order correction g_1(r) to the structure of a hard-sphere liquid with discrete (e.g. square-well) potential perturbations is proposed. The theory makes use of a general approximation that effectively eliminates four-particle correlations from g_1(r) with good accuracy at high densities. For the particular case of discrete perturbations, the remaining three-particle correlations can be modeled with a simple volume-exclusion argument, resulting in an algebraic and surprisingly accurate expression for g_1(r). The structure of a discrete "core-softened" model for liquids with anomalous thermodynamic properties is reproduced as an application.

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