Aging in two-dimensional Bouchaud's model
Please always quote using this URN:urn:nbn:de:0296-matheon-606
- Let Ex be a collection of i.i.d. exponential random variables. Symmetric Bouchaud’s model on Z2 is a Markov chain X(t) whose transition rates are given by wxy = ν exp(−βEx ) if x, y are neighbours in Z2 . We study the behaviour of two correlation functions: P[X(tw + t) = X(tw )] and P X(t ) = X(tw )∀t ∈ [tw , tw + t] . We prove the (sub)aging behaviour of these functions when β > 1.
Author: | Gérard Ben Arous, Jirí Cherný, Thomas Mountford |
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URN: | urn:nbn:de:0296-matheon-606 |
Referee: | Anton Bovier |
Document Type: | Preprint, Research Center Matheon |
Language: | English |
Date of first Publication: | 2004/01/28 |
Release Date: | 2004/01/28 |
Preprint Number: | 48 |