Aging and Non Linear Glassy Dynamics in a Mean-Field Model

Details Aging and Non Linear Glassy Dynamics in a Mean-Field Model Aging and Non Linear Glassy Dynamics in a Mean-Field Model

2000-05-09

arxiv.org/abs/cond-mat/0005162v1

European Physical Journal B, vol 19, p 65-73, 2001

Physics

Condensed Matter

15 pages, 7 figures, submitted to European Journal of Physics B

Scientific paper

10.1007/s100510170350

The mean-field dynamics of a particle in a random, but short range correlated potential, offers the opportunity of observing both aging and driven stationary regimes. Using a geometrical approach previously introduced by the author, we study here the relation between these two situations, in the pure relaxational limit, i.e. the zero temperature case. In the stationary regime, the velocity(v) -force(f) characteristics is a power law, while the characteristic times scale like powers of v, in agreement with an early proposal by Horner. The cross-over between the aging, linear-response regime and the non linear stationary regime is smooth, and we propose a parametrisation of the correlation functions valid in both cases, by means of an "effective time". We conclude that aging and non linear response are dual manifestations of a single out-of-equilibrium state, which might be a generic situation.

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