WIAS Preprint No. 1272, (2007)

Universality of REM-like ageing in mean field spin glasses



Authors

  • Ben Arous, Gérard
  • Bovier, Anton
  • Černý, Jiři

2008 Physics and Astronomy Classification Scheme

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

Keywords

  • aging, universality, spin glasses, SK model, random walk

Abstract

Aging has become the paradigm to describe dynamical behavior of glassy systems, and in particular spin glasses. Trap models have been introduced as simple caricatures of effective dynamics of such systems. In this Letter we show that in a wide class of mean field models and on a wide range of time scales, aging occurs precisely as predicted by the REM-like trap model of Bouchaud and Dean. This is the first rigorous result about aging in mean field models except for the REM and the spherical model

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