Universality of random energy model-like ageing in mean field spin glasses

Gérard Ben Arous; Anton Bovier; Jiří Černý

doi:10.1088/1742-5468/2008/04/L04003

Universality of random energy model-like ageing in mean field spin glasses

Gérard Ben Arous, Anton Bovier, Jiří Černý

Mathematics

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

Abstract

Ageing has become the paradigm for describing dynamical behavior of glassy systems, and in particular spin glasses. Trap models have been introduced as simple caricatures of the effective dynamics of such systems. In this Letter we show that in a wide class of mean field models and on a wide range of time scales, ageing occurs precisely as predicted by the random energy model-like trap model of Bouchaud and Dean. This is the first rigorous result concerning ageing in mean field models other than the random energy model and the spherical model.

Original language	English (US)
Article number	L04003
Journal	Journal of Statistical Mechanics: Theory and Experiment
Volume	2008
Issue number	4
DOIs	https://doi.org/10.1088/1742-5468/2008/04/L04003
State	Published - Apr 1 2008

Keywords

Slow dynamics and ageing (theory)
Spin glasses (theory)

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Statistics, Probability and Uncertainty

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10.1088/1742-5468/2008/04/L04003

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AB - Ageing has become the paradigm for describing dynamical behavior of glassy systems, and in particular spin glasses. Trap models have been introduced as simple caricatures of the effective dynamics of such systems. In this Letter we show that in a wide class of mean field models and on a wide range of time scales, ageing occurs precisely as predicted by the random energy model-like trap model of Bouchaud and Dean. This is the first rigorous result concerning ageing in mean field models other than the random energy model and the spherical model.

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Universality of random energy model-like ageing in mean field spin glasses

Abstract

Keywords

ASJC Scopus subject areas

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