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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.
|Number of pages||21|
|Journal||Journal of Statistical Mechanics: Theory and Experiment|
|Publication status||Published - Feb 2010|
- dynamical processes (theory)
- stochastic processes (theory)
- zero-range processes