A Note on Metastable Behaviour in the Zero-Range Process

Anton Bovier () and Rebecca Neukirch ()
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Anton Bovier: Rheinische Friedrich-Wilhelms-Universität Bonn, Institut für Angewandte Mathematik
Rebecca Neukirch: Rheinische Friedrich-Wilhelms-Universität Bonn, Institut für Angewandte Mathematik

A chapter in Singular Phenomena and Scaling in Mathematical Models, 2014, pp 69-90 from Springer

Abstract: Abstract The zero-range process in the high density phase is known to show condensation behaviour, i.e., a macroscopic fraction of particles is localised on a single site under the canonical equilibrium measure. Recently, Beltrán and Landim (Probab Theory Relat Fields 152(3–4):781–807, 2012) analysed some aspects of the metastable behaviour of this process in one dimension for finite systems in the limit of infinite density. In this note we show that the potential theoretic approach to metastability initiated in Bovier et al. (Commun Math Phys 228(2):219–255, 2002) applies easily to this model and yields more detailed results.

Keywords: Zero-range Process; Metastatic Behavior; Potential Theoretic Approach; Canonical Equilibrium Measure; High Density Phase (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-00786-1_4

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DOI: 10.1007/978-3-319-00786-1_4

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