Discontinuous condensation transition and nonequivalence of ensembles in a zero-range process

Abstract

We study a zero-range process where the jump rates do not only depend on the local particle configuration, but also on the size of the system. Rigorous results on the equivalence of ensembles are presented, characterizing the occurrence of a condensation transition. In contrast to previous results, the phase transition is discontinuous and the system exhibits ergodicity breaking and metastable phases. This leads to a richer phase diagram, including nonequivalence of ensembles in certain phase regions. The paper is motivated by results from granular clustering, where these features have been observed experimentally.

39 pages, 7 figures; Journal version contains errors in (18) to (22) which have been corrected

References in corpus (6)

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• Interaction driven real-space condensation
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Cited by in corpus (6)

• Equivalence and nonequivalence of ensembles: Thermodynamic, macrostate, and measure levels
• Condensation transition in joint large deviations of linear statistics
• Instability of condensation in the zero-range process with random interaction
• Blockage induced condensation controlled by a local reaction
• Two-point correlation function of an exclusion process with hole-dependent rates
• A dynamical transition and metastability in a size-dependent zero-range process