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

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.

21 pages, 12 figures

References in corpus (3)

• Statistical Mechanics of Interacting Run-and-Tumble Bacteria
• Dynamics of the condensate in zero-range processes
• Zero-Range Processes with Multiple Condensates: Statics and Dynamics

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