Condensation and equilibration in an urn model
arXiv:1502.04828 · doi:10.1016/j.chaos.2015.05.012
Abstract
After reviewing the general scaling properties of aging systems, we present a numerical study of the slow evolution induced in the zeta urn model by a quench from a high temperature to a lower one where a condensed equilibrium phase exists. By considering both one-time and two-time quantities we show that the features of the model fit into the general framework of aging systems. In particular, its behavior can be interpreted in terms of the simultaneous existence of equilibrated and aging degrees with different scaling properties.
13 pages, 4 figures, Proceedings of the International Conference on Statistical Physics SigmaPhi, Rhodes 2014. v2: a footnote and one reference added, few typos corrected