J. Phys. I France
Volume 2, Numéro 9, September 1992
Page(s) 1705 - 1713
DOI: 10.1051/jp1:1992238
J. Phys. I France 2 (1992) 1705-1713

Weak ergodicity breaking and aging in disordered systems

J. P. Bouchaud

Service de Physique de l'Etat Condensé, CEA-Saclay, 91191 Gif-sur-Yvette Cedex, France

(Received 25 May 1992, accepted in final form 19 June 1992)

We present a phenomenological model for the dynamics of disordered (complex) systems. We postulate that the lifetimes of the many metastable states are distributed according to a broad, power law probability distribution. We show that aging occurs in this model when the average lifetime is infinite. A simple hypothesis leads to a new functional form for the relaxation which is in remarkable agreement with spin-glass experiments over nearly five decades in time.

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