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Type: Artigo de periódico
Title: Convergence to the maximal invariant measure for a zero-range process with random rates
Author: Andjel, ED
Ferrari, PA
Guiol, H
Landim, C
Abstract: We consider a one-dimensional totally asymmetric nearest-neighbor zero-range process with site-dependent jump-rates - an environment. For each environment p we prove that the set of all invariant measures is the convex hull of a set of product measures with geometric marginals. As a consequence we show that for environments p satisfying certain asymptotic property, there are no invariant measures concentrating on configurations with density bigger than rho*(p), a critical value. If rho*(p) is finite we say that there is phase-transition on the density. In this case, we prove that if the initial configuration has asymptotic density strictly above rho*(p), then the process converges to the maximal invariant measure. (C) 2000 Elsevier Science B.V. All rights reserved.
Subject: zero-range
random rates
invariant measures
convergence to the maximal invariant measure
Country: Holanda
Editor: Elsevier Science Bv
Rights: fechado
Identifier DOI: 10.1016/S0304-4149(00)00037-5
Date Issue: 2000
Appears in Collections:Unicamp - Artigos e Outros Documentos

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