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

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dc.creatorGrosskinsky, Stefan
dc.creatorSchutz, Gunter M.
dc.date2008-01-08
dc.date2008-07-05
dc.date.accessioned2026-07-07T09:48:19Z
dc.date.available2026-07-07T09:48:19Z
dc.descriptionWe 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.
dc.description39 pages, 7 figures; Journal version contains errors in (18) to (22) which have been corrected
dc.identifierhttps://arxiv.org/abs/0801.1310
dc.identifierhttp://arxiv.org/abs/0801.1310
dc.identifierJ. Stat. Phys. 132(1), 77-108 (2008)
dc.identifierdoi:10.1007/s10955-008-9541-z
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164169
dc.subjectMathematical Physics
dc.subjectStatistical Mechanics
dc.subject82C22; 82C27; 60K35
dc.titleDiscontinuous condensation transition and nonequivalence of ensembles in a zero-range process
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