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

被引：3

作者：

Ben Arous, Gerard ^{[1
]}

Bovier, Anton ^{[2
,3
]}

Cerny, Jiri ^{[4
]}

机构：

[1] NYU, Courant Inst, New York, NY 10012 USA

[2] Weierstr Inst Angew Anal & Stochast, D-10117 Berlin, Germany

[3] Tech Univ Berlin, Inst Math, D-10623 Berlin, Germany

[4] ETH, CH-8092 Zurich, Switzerland

来源：

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2008年

关键词：

spin glasses (theory); slow dynamics and ageing (theory);

D O I：

10.1088/1742-5468/2008/04/L04003

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

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.

引用

页数：8

共 34 条

[21] STRETCHED EXPONENTIAL RELAXATION IN SYSTEMS WITH RANDOM FREE-ENERGIES
DEDOMINICIS, C
ORLAND, H
LAINEE, F
[J]. JOURNAL DE PHYSIQUE LETTRES, 1985, 46 (11): : L463 - L466
[22] Nonequilibrium dynamics of random field Ising spin chains: Exact results via real space renormalization group
Fisher, Daniel S.
Le Doussal, Pierre
Monthus, Cécile
[J]. 2001, American Institute of Physics Inc. (64):
[23] Fractal geometry of spin-glass models
Fontanari, JF
Stadler, PF
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2002, 35 (07): : 1509 - 1516
[24] VISCOUS LIQUIDS AND GLASS TRANSITION - A POTENTIAL ENERGY BARRIER PICTURE
GOLDSTEIN, M
[J]. JOURNAL OF CHEMICAL PHYSICS, 1969, 51 (09) : 3728 - +
[25] THE SIMPLEST SPIN-GLASS
GROSS, DJ
MEZARD, M
[J]. NUCLEAR PHYSICS B, 1984, 240 (04) : 431 - 452
[26] Guionnet A, 2007, LECT NOTES MATH, V1900, P117
[27] Strong disorder RG approach of random systems
Iglói, F
Monthus, C
[J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2005, 412 (5-6): : 277 - 431
[28] NONEXPONENTIAL RELAXATION IN THE RANDOM ENERGY-MODEL
KOPER, GJM
HILHORST, HJ
[J]. PHYSICA A, 1989, 160 (01): : 1 - 23
[29] KYPIUANOU A. E., 2006, UNIVERSITEXT
[30] Leadbetter M. R., 1983, Springer Series in Statistics, DOI 10.1007/978-1-4612-5449-2

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