Bouchaud's model exhibits two different aging regimes in dimension one
| dc.creator | Arous, Gerard Ben | |
| dc.creator | Cerny, Jiri | |
| dc.date | 2002-10-29 | |
| dc.date | 2005-05-20 | |
| dc.date.accessioned | 2026-07-07T02:47:57Z | |
| dc.date.available | 2026-07-07T02:47:57Z | |
| dc.description | 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}=ν\exp(-β((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 β>1 and a\in[0,1]. | |
| dc.description | 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) | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0210633 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0210633 | |
| dc.identifier | Annals of Applied Probability 2005, Vol. 15, No. 2, 1161-1192 | |
| dc.identifier | doi:10.1214/105051605000000124 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/20206 | |
| dc.subject | Condensed Matter | |
| dc.subject | Probability | |
| dc.subject | 60K37, 82C44, 60G18 (Primary) 60F17. (Secondary) | |
| dc.title | Bouchaud's model exhibits two different aging regimes in dimension one | |
| dc.type | text |