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

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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