Coarsening dynamics of zero-range processes

Abstract

We consider a class of zero-range processes exhibiting a condensation transition in the stationary state, with a critical single-site distribution decaying faster than a power law. We present the analytical study of the coarsening dynamics of the system on the complete graph, both at criticality and in the condensed phase. In contrast with the class of zero-range processes with critical single-site distribution decaying as a power law, in the present case the role of finite-time corrections are essential for the understanding of the approach to scaling.

25 pages, 12 figures

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• One Dimensional Exclusion Process with Dynein Inspired Hops: Simulation and Mean Field Analysis
• Condensation in zero-range processes with a fast rate