WIAS Preprint No. 692, (2001)

Aging in the random energy model


Authors

  • Ben Arous, Gérard
  • Bovier, Anton
  • Gayrard, Véronique

2008 Physics and Astronomy Classification Scheme

  • 75.10.Nr, 75.10.Jm, 75.10.Hk, 05.30.-d

Keywords

  • aging, Glauber dynamics, random energy model, trap models, metastability, extreme values

DOI

10.20347/WIAS.PREPRINT.692

Abstract

In this letter we announce rigorous results on the phenomenon of aging in the Glauber dynamics of the random energy model and their relation to Bouchaud's 'REM-like' trap model. We show that, below the critical temperature, if we consider a time-scale that diverges with the system size in such a way that equilibrium is almost, but not quite reached on that scale, a suitably defined autocorrelation function has the same asymptotic behaviour than its analog in the trap model.

Appeared in

  • Phys.Rev.Letts. 88, 087201

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