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

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1347-1358
Number of pages	12
Journal	Journal of Physics A: Mathematical and General
Volume	29
Issue number	7
DOIs	https://doi.org/10.1088/0305-4470/29/7/007
Publication status	Published - 1 Dec 1996

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10.1088/0305-4470/29/7/007

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@article{68bef4d856bd40bb90c2015ae9384d75,

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.",

author = "Cugliandolo, \{L. F.\} and J. Kurchan and R. Monasson and G. Parisi",

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AU - Cugliandolo, L. F.

AU - Kurchan, J.

AU - Monasson, R.

AU - Parisi, G.

PY - 1996/12/1

Y1 - 1996/12/1

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.

UR - https://www.scopus.com/pages/publications/0346571804

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

DO - 10.1088/0305-4470/29/7/007

M3 - Article

AN - SCOPUS:0346571804

SN - 0305-4470

VL - 29

SP - 1347

EP - 1358

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 7

ER -

A mean-field hard-spheres model of glass

Abstract

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