A MEAN-FIELD HARD-SPHERES MODEL OF GLASS

Citation
Lf. Cugliandolo et al., A MEAN-FIELD HARD-SPHERES MODEL OF GLASS, Journal of physics. A, mathematical and general, 29(7), 1996, pp. 1347-1358
Citations number
32
Categorie Soggetti
Physics
ISSN journal
03054470
Volume
29
Issue
7
Year of publication
1996
Pages
1347 - 1358
Database
ISI
SICI code
0305-4470(1996)29:7<1347:AMHMOG>2.0.ZU;2-E
Abstract
We present a model of spheres moving in a high-dimensional compact spa ce. We relate it to a mixed matrix model with a O(N) invariant model p lus a P(N) invariant perturbation. We then study the low pressure regi me by performing a diagrammatic expansion of this matrix model. Finall y, we show the results from numerical simulations and we present evide nce for a glassy regime at high pressures.