Aging in two-dimensional Bouchaud's model

被引：38

作者：

Ben Arous, G ^{[1
]}

Cerny, J

Mountford, T

机构：

[1] Ecole Polytech Fed Lausanne, Dept Math, CH-1015 Lausanne, Switzerland

[2] NYU, Courant Inst Math Sci, New York, NY 10012 USA

[3] Weierstrass Inst Appl Anal & Stochast, D-10117 Berlin, Germany

来源：

PROBABILITY THEORY AND RELATED FIELDS | 2006年 / 134卷 / 01期

关键词：

aging; trap model; Levy process; random walk; time change;

D O I：

10.1007/s00440-004-0408-1

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Let E-x be a collection of i.i.d. exponential random variables. Symmetric Bouchaud's model on Z(2) is a Markov chain X(t) whose transition rates are given by w(xy) = nu exp (-beta E-x) if x, y are neighbours in Z(2). We study the behaviour of two correlation functions: P[X(t(w)+t) = X(t(w))] and P[X(t') = X(t(w)) for all t'is an element of [t(w), t(w) + t]]. We prove the (sub)aging behaviour of these functions when beta > 1.

引用

页码：1 / 43

页数：43

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