Zero-range condensation at criticality

Inés Armendáriz, Stefan Grosskinsky and Michail Loulakis

Stochastic Processes and their Applications, 2013, vol. 123, issue 9, 3466-3496

Abstract: Zero-range processes with jump rates that decrease with the number of particles per site can exhibit a condensation transition, where a positive fraction of all particles condenses on a single site when the total density exceeds a critical value. We consider rates which decay as a power law or a stretched exponential to a non-zero limiting value, and study the onset of condensation at the critical density. We establish a law of large numbers for the excess mass fraction in the maximum, as well as distributional limits for the fluctuations of the maximum and the fluctuations in the bulk.

Keywords: Zero-range process; Condensation; Conditional maximum; Subexponential tails (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (4)

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DOI: 10.1016/j.spa.2013.04.021

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