Condensation in models with factorized and pair-factorized stationary states

M R Evans; B Waclaw

doi:10.1088/1742-5468/2015/09/P09005

Condensation in models with factorized and pair-factorized stationary states

M R Evans, B Waclaw

School of Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

Abstract

Non-equilibrium real-space condensation is a phenomenon in which a finite fraction of some conserved quantity (mass, particles, etc) becomes spatially localized. We review two popular stochastic models of hopping particles that lead to condensation and whose stationary states assume a factorized form: the zero-range process and the misanthrope process, and their various generalizations. We also introduce a new model—a misanthrope process with parallel dynamics—that exhibits condensation and has a pair-factorized stationary state

Original language	English
Article number	P09005
Journal	Journal of Statistical Mechanics: Theory and Experiment
Volume	2015
Issue number	9
DOIs	https://doi.org/10.1088/1742-5468/2015/09/P09005
Publication status	Published - 2015

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10.1088/1742-5468/2015/09/P09005

rev9Accepted author manuscript, 248 KB

http://stacks.iop.org/1742-5468/2015/i=9/a=P09005?key=crossref.a15edf15cd1b170c6858b5c2618169eb

Design Principles for New Soft Materials
Cates, M., Allen, R., Clegg, P., Evans, M., MacPhee, C., Marenduzzo, D. & Poon, W.
EPSRC
7/12/11 → 6/06/17
Project: Research

Cite this

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abstract = "Non-equilibrium real-space condensation is a phenomenon in which a finite fraction of some conserved quantity (mass, particles, etc) becomes spatially localized. We review two popular stochastic models of hopping particles that lead to condensation and whose stationary states assume a factorized form: the zero-range process and the misanthrope process, and their various generalizations. We also introduce a new model—a misanthrope process with parallel dynamics—that exhibits condensation and has a pair-factorized stationary state",

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DO - 10.1088/1742-5468/2015/09/P09005

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Condensation in models with factorized and pair-factorized stationary states

Abstract

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Design Principles for New Soft Materials

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