A mean-field hard-spheres model of glass

Details A mean-field hard-spheres model of glass A mean-field hard-spheres model of glass

1995-06-13

arxiv.org/abs/cond-mat/9506054v1

J. Phys. A {\bf 29}, 1347 (1996)

Physics

Condensed Matter

19 pages, 5 figures included, Z-compressed postscript

Scientific paper

10.1088/0305-4470/29/7/007

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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