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Algebraic perturbation theory for dense liquids with discrete potentials

2006/12/28 by Artur B. Adib · 1 citation
Engineering · Materials Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Material Dynamics and Properties #Phase Equilibria and Thermodynamics #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreve.75.061204

published as Phys. Rev. E 75, 061204 (2007) · 4 pages, 4 figures

arxiv created 2006/12/28 · openalex publication_date 2007/06/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A simple theory for the leading-order correction g1(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 g1(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 g1(r). The structure of a discrete "core-softened" model for liquids with anomalous thermodynamic properties is reproduced as an application.

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