Zero-range processes with saturated condensation: the steady state and dynamics

Details Zero-range processes with saturated condensation: the steady state and dynamics Zero-range processes with saturated condensation: the steady state and dynamics

2009-12-15

arxiv.org/abs/0912.3009v2

J. Stat. Mech. (2010) P02013

Physics

Condensed Matter

Statistical Mechanics

21 pages, 12 figures

Scientific paper

10.1088/1742-5468/2010/02/P02013

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.

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