Large deviations for a reaction diffusion model
type: Item
instance of: scholarly article
title: Large deviations for a reaction diffusion model
zbMATH Open document ID: 0792.60096
DOI: 10.1007/BF01195070
publication date: 1994-07-14T00:00:00Z
review text: We obtain large deviation estimates for the empirical measure of a class of interacting particle systems. These consist of a superposition of Glauber and Kawasaki dynamics and are described, in the hydrodynamic limit, by a reaction diffusion equation. We extend results of \textit{C. Kipnis}, \textit{S. Olla} and \textit{S. R. S. Varadhan} [Commun. Pure Appl. Math. 42, No. 2, 115-137 (1989; Zbl 0644.76001)] for the symmetric exclusion process, and provide an approximation scheme for the rate functional. Some physical implications of our results are briefly indicated.
Mathematics Subject Classification ID: 60K35
Mathematics Subject Classification ID: 82B05
zbMATH DE Number: 569006
zbMATH Keywords: large deviation estimates
zbMATH Keywords: empirical measure
zbMATH Keywords: interacting particle systems
zbMATH Keywords: hydrodynamic limit
zbMATH Keywords: reaction diffusion equation
author: G. Jona-Lasinio
author: C. Landim
author: Maria Eulalia Vares
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01195070
OpenAlex ID: W1966789220
published in: Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
description: scientific article; zbMATH DE number 569006