Aging in two-dimensional Bouchaud's model
- Ben Arous, Gerard
- Cerny, Jiri
- Mountford, Thomas
2010 Mathematics Subject Classification
- 82D30 82C41 60F17
- Aging, trap model, Levy process, random walk, time change
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)forall t'in[t_w,t_w+t]]. We prove the (sub)aging behaviour of these functions when beta >1.
- Probability Theory and Related Fields, Online First, DOI 10.1007/s00440-004-0408-1 .