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A semi empirical expression of the virial coefficients for hard sphere\n fluids at all density

2015/04/19 by Richard Bonneville, Bonneville, Richard
Engineering · Materials Science · Physics and Astronomy · #FOS: Physical sciences #Material Dynamics and Properties #Phase Equilibria and Thermodynamics #Soft Condensed Matter (cond-mat.soft) #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.1504.08353

openalex publication_date 2015/04/19 · openalex created_date 2022/08/29 · openalex updated_date 2026/07/28

Abstract

We propose a new semi empirical expression of the virial coefficients for a\nhard sphere fluid which is valid in the disordered phase over the whole density\nrange. The results are in good agreement with the numerical data and better\nthan those of the well-known Carnahan & Starling equation of state in the\ndomain of validity of the later; moreover this new expression accounts for the\nsingularity which is required for the equation of state at the close random\npacking limit.\n

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