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Aging and Glassy Dynamics in Complex Systems: Some Theoretical Ideas

Published online by Cambridge University Press:  03 September 2012

Jean-Philippe Bouchaud
Jean-Philippe Bouchaud*
Affiliation:
Service de Physique de l'Etat Condensé, Commissariat à l'Energie Atomique, Orme des Merisiers, 91191 Gif-sur-Yvette CEDEX, France
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Abstract

We discuss some recent experimental results on the non-stationary dynamics of spin-glasses, which serves as an excellent laboratory for other complex systems. Inspired from Parisi's mean-field solution, we propose that the dynamics of these systems can be though of as a random walk in phase space, between traps characterized by trapping time distribution decaying as a power law. The average exploration time diverges in the spin-glass phase, naturally leading to time-dependent dynamics with a charateristic time scale fixed by the observation time tw itself (aging). By the same token, we find that the correlation function (or the magnetization) decays as a stretched exponential at small times t ≪ tw crossing over to power-law decay at large times t ≫ tw . Finally, we discuss recent speculations on the relevance of these concepts to real glasses, where quenched disorder is a priori absent. Keywords: Aging, slow dynamics, spin-glasses, glasses.

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Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 367: Symposium P – Fractal Aspects of Materials , 1994, 347
Copyright
Copyright © Materials Research Society 1995

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