Bouchaud's model exhibits two different aging regimes in dimension one
Condensed Matter
2007-05-23 v3 Probability
Abstract
Let E_i be a collection of i.i.d. exponential random variables. Bouchaud's model on Z is a Markov chain X(t) whose transition rates are given by w_{ij}=\nu \exp(-\beta ((1-a)E_i-aE_j)) if i, j are neighbors in Z. We study the behavior of two correlation functions: P[X(t_w+t)=X(t_w)] and P[X(t')=X(t_w) \forall t'\in[t_w,t_w+t]]. We prove the (sub)aging behavior of these functions when \beta >1 and a\in[0,1].
Cite
@article{arxiv.cond-mat/0210633,
title = {Bouchaud's model exhibits two different aging regimes in dimension one},
author = {Gerard Ben Arous and Jiri Cerny},
journal= {arXiv preprint arXiv:cond-mat/0210633},
year = {2007}
}
Comments
Published at http://dx.doi.org/10.1214/105051605000000124 in the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)