English

A mean-field hard-spheres model of glass

Condensed Matter 2009-10-28 v1 High Energy Physics - Theory

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)O(N) invariant model plus a P(N)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.

Keywords

Cite

@article{arxiv.cond-mat/9506054,
  title  = {A mean-field hard-spheres model of glass},
  author = {Leticia F. Cugliandolo and J. Kurchan and Remi Monasson and Giorgio Parisi},
  journal= {arXiv preprint arXiv:cond-mat/9506054},
  year   = {2009}
}

Comments

19 pages, 5 figures included, Z-compressed postscript