A simple and accurate equation of state for hard-disk fluids

Xian-Zhi Wang

Physica A: Statistical Mechanics and its Applications, 2010, vol. 389, issue 16, 3048-3052

Abstract: A long-standing problem for hard-disk fluids is to find a simple and accurate equation of state. By observing the known updated virial coefficients from B2∗ up to B10∗, we obtain an accurate empirical formula, with errors less than 0.5%. We further assume that the empirical formula is valid for all the virial coefficients. Using this assumption, we obtain a simple and accurate equation of state. In the density range 0<ρa2≤0.83, the predicted pressures are in good agreement with the simulation results. For 0<ρa2≤0.70, the errors are less than 0.007%. Even at ρa2=0.83, the error is only 0.5%.

Keywords: Hard-disk fluids; Virial coefficients; Equations of state (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:389:y:2010:i:16:p:3048-3052

DOI: 10.1016/j.physa.2010.03.048

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