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August 2005 Spectral characterization of aging: The REM-like trap model
Anton Bovier, Alessandra Faggionato
Ann. Appl. Probab. 15(3): 1997-2037 (August 2005). DOI: 10.1214/105051605000000359


We review the aging phenomenon in the context of the simplest trap model, Bouchaud’s REM-like trap model, from a spectral theoretic point of view. We show that the generator of the dynamics of this model can be diagonalized exactly. Using this result, we derive closed expressions for correlation functions in terms of complex contour integrals that permit an easy investigation into their large time asymptotics in the thermodynamic limit. We also give a “grand canonical” representation of the model in terms of the Markov process on a Poisson point process. In this context we analyze the dynamics on various time scales.


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Anton Bovier. Alessandra Faggionato. "Spectral characterization of aging: The REM-like trap model." Ann. Appl. Probab. 15 (3) 1997 - 2037, August 2005.


Published: August 2005
First available in Project Euclid: 15 July 2005

zbMATH: 1086.60064
MathSciNet: MR2152251
Digital Object Identifier: 10.1214/105051605000000359

Primary: 60K37 , 82C20

Keywords: Aging , Disordered systems , random dynamics , spectral properties , trap models

Rights: Copyright © 2005 Institute of Mathematical Statistics

Vol.15 • No. 3 • August 2005
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