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Configurational entropy of hard spheres

L. Angelani·G. Foffi
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Abstract

We numerically calculate the configurational entropy S_conf of a binary mixture of hard spheres, by using a perturbed Hamiltonian method trapping the system inside a given state, which requires less assumptions than the previous methods [R.J. Speedy, Mol. Phys. 95, 169 (1998)]. We find that S_conf is a decreasing function of packing fraction f and extrapolates to zero at the Kauzmann packing fraction f_K = 0.62, suggesting the possibility of an ideal glass-transition for hard spheres system. Finally, the Adam-Gibbs relation is found to hold.

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L. Angelani, G. Foffi. 2007-06-06. Configurational entropy of hard spheres. https://doi.org/10.1088/0953-8984%2F19%2F25%2F256207

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