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Condensation in stochastic particle systems with stationary product measures
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Chleboun, Paul and Grosskinsky, Stefan (2014) Condensation in stochastic particle systems with stationary product measures. Journal of Statistical Physics, Volume 154 (Number 1-2). pp. 432-465. doi:10.1007/s10955-013-0844-3 ISSN 0022-4715.
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Official URL: http://dx.doi.org/10.1007/s10955-013-0844-3
Abstract
We study stochastic particle systems with stationary product measures that exhibit a condensation transition due to particle interactions or spatial inhomogeneities. We review previous work on the stationary behaviour and put it in the context of the equivalence of ensembles, providing a general characterization of the condensation transition for homogeneous and inhomogeneous systems in the thermodynamic limit. This leads to strengthened results on weak convergence for subcritical systems, and establishes the equivalence of ensembles for spatially inhomogeneous systems under very general conditions, extending previous results which focused on attractive and finite systems. We use relative entropy techniques which provide simple proofs, making use of general versions of local limit theorems for independent random variables.
Item Type: | Journal Article | ||||||||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||||
Journal or Publication Title: | Journal of Statistical Physics | ||||||||||
Publisher: | Springer New York LLC | ||||||||||
ISSN: | 0022-4715 | ||||||||||
Official Date: | January 2014 | ||||||||||
Dates: |
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Volume: | Volume 154 | ||||||||||
Number: | Number 1-2 | ||||||||||
Page Range: | pp. 432-465 | ||||||||||
DOI: | 10.1007/s10955-013-0844-3 | ||||||||||
Status: | Peer Reviewed | ||||||||||
Publication Status: | Published | ||||||||||
Access rights to Published version: | Restricted or Subscription Access |
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