Zero-range processes with saturated condensation: the steady state and dynamics
Statistical Mechanics
2013-05-20 v2
Abstract
We study a class of zero-range processes in which the real-space condensation phenomenon does not occur and is replaced by a saturated condensation: that is, an extensive number of finite-size "condensates" in the steady state. We determine the conditions under which this occurs, and investigate the dynamics of relaxation to the steady state. We identify two stages: a rapid initial growth of condensates followed by a slow process of activated evaporation and condensation. We analyze these nonequilibrium dynamics with a combination of meanfield approximations, first-passage time calculations and a fluctuation-dissipation type approach.
Cite
@article{arxiv.0912.3009,
title = {Zero-range processes with saturated condensation: the steady state and dynamics},
author = {A. G. Thompson and J. Tailleur and M. E. Cates and R. A. Blythe},
journal= {arXiv preprint arXiv:0912.3009},
year = {2013}
}
Comments
21 pages, 12 figures