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

A. G. Thompson, J. Tailleur, Michael Cates, Richard Blythe

Research output: Contribution to journalArticlepeer-review

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 analyse these nonequilibrium dynamics with a combination of mean-field approximations, first-passage-time calculations and a fluctuation-dissipation type of approach.

Original languageEnglish
Article numberP02013
Pages (from-to)-
Number of pages21
Journal Journal of Statistical Mechanics: Theory and Experiment
DOIs
Publication statusPublished - Feb 2010

Keywords

  • dynamical processes (theory)
  • stochastic processes (theory)
  • zero-range processes
  • MODEL

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