2016/10/10 by Timur Aslyamov, Aslyamov, Timur
Chemical Engineering · Engineering · Materials Science · Physics and Astronomy · #FOS: Physical sciences #Material Dynamics and Properties #Phase Equilibria and Thermodynamics #Statistical Mechanics (cond-mat.stat-mech) #Thermodynamic properties of mixtures #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.1610.02812
arxiv created 2016/10/10 · openalex publication_date 2016/10/10 · arxiv updated 2016/10/11 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28
Model of hard sphere system is important part of modern theories of liquids. Radial distribution function of hard sphere fluid represented in form of explicit analytical expression allows to obtain thermodynamic potentials in analytical form, which is very helpful for further analysis and applications. A new analytical expression of radial distribution function of hard sphere fluid is developed. The density derivative of the radial distribution function and the first two terms of Barker-Henderson perturbation theory are derived as analytical expressions. The obtained results agree well with published simulation data. These results have important implications for real fluid modeling using density functional theory and perturbation theories.