Europhys. Lett.
Volume 76, Number 5, December 2006
Page(s) 919 - 925
Section Condensed matter: electronic structure, electrical, magnetic, and optical properties
Published online 25 October 2006
Europhys. Lett., 76 (5), pp. 919-925 (2006)
DOI: 10.1209/epl/i2006-10352-9

Crossover from stationary to aging regime in glassy dynamics

A. Andreanov and A. Lefèvre

Service de Physique Théorique, Orme des Merisiers, CEA Saclay 91191 Gif-sur-Yvette Cedex, France

received 30 June 2006; accepted in final form 2 October 2006
published online 25 October 2006

We study the non-equilibrium dynamics of the spherical p-spin models in the scaling regime near the plateau and derive the corresponding scaling functions for the correlators. Our main result is that the matching between different time regimes fixes the aging function in the aging regime to $h(t)=\exp[t^{1-\mu}]$. The exponent $\mu$ is related to the one giving the length of the plateau. Interestingly $1-\mu$ is quickly very small when one goes away from the dynamic transition temperature in the glassy phase. This sheds new light on the interpretation of experiments and simulations where simple aging was found to be a reasonable but not perfect approximation, which could be attributed to the existence of a small but non-zero stretching exponent.

75.10.Nr - Spin-glass and other random models.
61.20.Lc - Time-dependent properties; relaxation.
64.70.Pf - Glass transitions.

© EDP Sciences 2006