2017/06/28 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) #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.1706.09404
openalex publication_date 2017/06/28 · openalex created_date 2022/09/30 · openalex updated_date 2026/07/28
The equation of state of a hard sphere fluid at high density should exhibit a\nsimple pole at the random close packing limit. Here we show that trying to\nobtain a compact semi-empirical equation of state simultaneously compatible\nwith that asymptotic behaviour and with the known virial coefficients raises an\nanalytical difficulty which can be solved if a glassy transition occurs in the\ndisordered metastable phase at a density intermediate between the freezing\npoint and the random close packing limit, numerically close to the melting\npoint. The estimated value for the transition point, which is identified with\nrandom loose packing, is in good agreement with earlier estimations.\n