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A mean-field hard-spheres model of glass

Leticia F. Cugliandolo·J. Kurchan·Remi Monasson·Giorgio Parisi
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Abstract

We present a model of spheres moving in a high-dimensional compact space. We relate it to a mixed matrix model with a $O(N)$ invariant model plus a $P(N)$ invariant perturbation. We then study the low pressure regime by performing a diagrammatic expansion of this matrix model. Finally, we show the results from numerical simulations and we present evidence for a glassy regime at high pressures.

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Leticia F. Cugliandolo, J. Kurchan, Remi Monasson, Giorgio Parisi. 1995-06-13. A mean-field hard-spheres model of glass. https://doi.org/10.1088/0305-4470%2F29%2F7%2F007

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