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Discontinuous Condensation Transition and Nonequivalence of Ensembles in a Zero-Range Process

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An Erratum to this article was published on 04 October 2008

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.

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Authors and Affiliations

  1. Mathematics Institute, Coventry, CV4 7AL, UK

    Stefan Grosskinsky

  2. Institut für Festkörperforschung, Forschungszentrum Jülich GmbH, 52425, Jülich, Germany

    Gunter M. Schütz

Authors
  1. Stefan Grosskinsky
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  2. Gunter M. Schütz
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Correspondence to Stefan Grosskinsky.

Additional information

An erratum to this article can be found at http://dx.doi.org/10.1007/s10955-008-9628-6

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Grosskinsky, S., Schütz, G.M. Discontinuous Condensation Transition and Nonequivalence of Ensembles in a Zero-Range Process. J Stat Phys 132, 77–108 (2008). https://doi.org/10.1007/s10955-008-9541-z

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  • DOI: https://doi.org/10.1007/s10955-008-9541-z

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