Journal
JOURNAL OF STATISTICAL PHYSICS
Volume 132, Issue 1, Pages 77-108Publisher
SPRINGER
DOI: 10.1007/s10955-008-9541-z
Keywords
zero range process; discontinuous phase transition; equivalence of ensembles; metastability; ergodicity breaking; granular clustering
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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.
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