A mean-field hard-spheres model of glass

L. F. Cugliandolo; J. Kurchan; R. Monasson; G. Parisi

doi:10.1088/0305-4470/29/7/007

A mean-field hard-spheres model of glass

L. F. Cugliandolo
, J. Kurchan
, R. Monasson
, G. Parisi

École Polytechnique

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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.

langue originale	Anglais
Pages (de - à)	1347-1358
Nombre de pages	12
journal	Journal of Physics A: Mathematical and General
Volume	29
Numéro de publication	7
Les DOIs	https://doi.org/10.1088/0305-4470/29/7/007
état	Publié - 1 déc. 1996

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10.1088/0305-4470/29/7/007

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title = "A mean-field hard-spheres model of glass",

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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N2 - 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.

AB - 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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U2 - 10.1088/0305-4470/29/7/007

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A mean-field hard-spheres model of glass

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