Condensation in the inhomogeneous zero-range process: an interplay between interaction and diffusion disorder

Abstract

We analyze the role of the interplay between on-site interaction and inhomogeneous diffusion on the phenomenon of condensation in the zero-range process. We predict a universal phase diagram in the plane of two exponents, respectively characterizing the interactions and the diffusion disorder. The most prominent outcome is the existence of an extended condensed phase. In the latter phase, which originates as a result of the combined effects of strong enough interaction and weak enough disorder, a typical high-density configuration has a unique condensate on top of a critical background, but the condensate may be located at any site of a large hosting set of favored sites, whose size grows sub-extensively. The novel extended condensed phase thus interpolates continuously between the two scenarios associated so far with the condensation transition, namely spontaneous symmetry breaking and explicit symmetry breaking.

42 pages, 14 figures, a few updates

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• Dynamics of condensation in the totally asymmetric inclusion process
• Stationary uphill currents in locally perturbed Zero Range Processes
• Condensation for random variables conditioned by the value of their sum
• Finite-size localization scenarios in condensation transitions
• Coarsening dynamics in condensing zero-range processes and size-biased birth death chains
• Random partitions in statistical mechanics
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• Metastable Markov chains
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• A simple non-equilibrium, statistical-physics toy model of thin-film growth
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