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

摘要

The mean-field dynamics of a particle in a random, but short range correlatedpotential, offers the opportunity of observing both aging and driven stationaryregimes. Using a geometrical approach previously introduced by the author, westudy here the relation between these two situations, in the pure relaxationallimit, i.e. the zero temperature case. In the stationary regime, thevelocity(v) -force(f) characteristics is a power law, while the characteristictimes 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 linearstationary regime is smooth, and we propose a parametrisation of thecorrelation functions valid in both cases, by means of an "effective time". Weconclude that aging and non linear response are dual manifestations of a singleout-of-equilibrium state, which might be a generic situation.