Condensation in models with factorized and pair-factorized stationary states

Abstract

Non-equilibrium real-space condensation is a phenomenon in which a finite fraction of some conserved quantity (mass, particles, etc.) becomes spatially localised. 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 modifications. We also introduce a new model - a misanthrope process with parallel dynamics - that exhibits condensation and has a pair-factorized stationary state.

15 pages, 2 figures submitted to J. Stat. Mech

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Cited by in corpus (4)

• Self-similar behavior of the exchange-driven growth model with product kernel
• Dynamics of condensate formation in stochastic transport with pair-factorized steady states: Nucleation and coarsening time scales
• Emergence of dynamic phases in the presence of different kinds of open boundaries in stochastic transport with short-range interactions
• Condensation in zero-range processes with a fast rate