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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.

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Metadaten
Author:Gérard Ben Arous, Jirí Cherný, Thomas Mountford
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
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