Condensation in models with factorized and pair-factorized stationary states. (8th September 2015)

• Record Type: Journal Article
• Authors: Evans, M R; Waclaw, B
• Is Part Of: Journal of statistical mechanics. (2015:Sep.)
• Publication Date: 2015-09-08
• Subjects: 4; 4/050 -- 4/220 -- 4/203 -- 4/250; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/2015/09/P09005
• Languages: English
• ISSNs: 1742-5468

Abstract

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.