Condensation in stochastic particle systems with stationary product measures
<p style="text-align:justify;"> 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...
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| Format: | Journal article |
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Springer
2013
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| _version_ | 1826274128059957248 |
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| author | Chleboun, P Grosskinsky, S |
| author_facet | Chleboun, P Grosskinsky, S |
| author_sort | Chleboun, P |
| collection | OXFORD |
| description | <p style="text-align:justify;"> 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. </p> |
| first_indexed | 2024-03-06T22:38:44Z |
| format | Journal article |
| id | oxford-uuid:5aced138-57d6-4b6c-a212-45a9976f59bc |
| institution | University of Oxford |
| last_indexed | 2024-03-06T22:38:44Z |
| publishDate | 2013 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:5aced138-57d6-4b6c-a212-45a9976f59bc2022-03-26T17:18:05ZCondensation in stochastic particle systems with stationary product measuresJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:5aced138-57d6-4b6c-a212-45a9976f59bcSymplectic Elements at OxfordSpringer2013Chleboun, PGrosskinsky, S <p style="text-align:justify;"> 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. </p> |
| spellingShingle | Chleboun, P Grosskinsky, S Condensation in stochastic particle systems with stationary product measures |
| title | Condensation in stochastic particle systems with stationary product measures |
| title_full | Condensation in stochastic particle systems with stationary product measures |
| title_fullStr | Condensation in stochastic particle systems with stationary product measures |
| title_full_unstemmed | Condensation in stochastic particle systems with stationary product measures |
| title_short | Condensation in stochastic particle systems with stationary product measures |
| title_sort | condensation in stochastic particle systems with stationary product measures |
| work_keys_str_mv | AT chlebounp condensationinstochasticparticlesystemswithstationaryproductmeasures AT grosskinskys condensationinstochasticparticlesystemswithstationaryproductmeasures |