Mesoscopic fluctuations and intermittency in aging dynamics

Abstract

The configurational de-correlation in an aging system is attributed to irreversible intermittent rearrangements, which are described as a Poisson process with average $\propto \ln(1 + t/t_w)$, where $t$ is the observation time and $t_w$ is the age [P. Sibani and H.J. Jensen, Europhys. Lett. 69, 2005]. On this basis, we obtain a simple model for the off-equilibrium aging behavior of the autocorrelation: the average autocorrelation decays algebraically, and its shifted and rescaled probability density function (PDF) has a Gumbel-like shape which approaches a Gaussian at large times and becomes sharp in the thermodynamic limit. The model properties are tested against simulations of the Edwards-Anderson spin glass, and are in reasonable agreement with other available data.