A dynamical transition and metastability in a size-dependent zero-range process

Abstract

We study a zero-range process with system-size dependent jump rates, which is known to exhibit a discontinuous condensation transition. Metastable homogeneous phases and condensed phases coexist in extended phase regions around the transition, which have been fully characterized in the context of the equivalence and non-equivalence of ensembles. In this communication we report rigorous results on the large deviation properties and the free energy landscape which determine the metastable dynamics of the system. Within the condensed phase region we identify a new dynamic transition line which separates two distinct mechanism of motion of the condensate, and provide a complete discussion of all relevant timescales. Our results are directly related to recent interest in metastable dynamics of condensing particle systems. Our approach applies to more general condensing particle systems, which exhibit the dynamical transition as a finite size effect.

12 pages, 5 figures

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Cited by in corpus (9)

• Diffusions conditioned on occupation measures
• Blockage induced condensation controlled by a local reaction
• Structure of the condensed phase in the inclusion process
• Lower current large deviations for zero-range processes on a ring
• Monotonicity and Condensation in Homogeneous Stochastic Particle Systems
• Trapping in bottlenecks: interplay between microscopic dynamics and large scale effects
• Condensation in models with factorized and pair-factorized stationary states
• Stationary currents in particle systems with constrained hopping rates
• Condensation in zero-range processes with a fast rate