Looking for a compact semi empirical equation of state for hard spheres and the possibility of a glassy transition

Richard Bonneville

Physica A: Statistical Mechanics and its Applications, 2020, vol. 547, issue C

Abstract: The equation of state of a hard sphere fluid at high density should exhibit a simple pole at the random close packing limit. Here we show that trying to obtain a compact semi-empirical equation of state simultaneously compatible with that asymptotic behaviour and with the known virial coefficients raises an analytical difficulty which can be solved if a glassy transition occurs in the disordered metastable phase at a density intermediate between the freezing point and the random close packing limit. The comparison of the estimated value for the transition point with earlier estimations suggests a more subtle situation.

Keywords: Packing density; Random close packing; Random loose packing; Equation of state; Hard spheres; Virial expansion; Virial coefficients; Glassy transition (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:547:y:2020:i:c:s0378437119321338

DOI: 10.1016/j.physa.2019.123838

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