Ergodicity of reversible reaction diffusion processes
type: Item
instance of: scholarly article
title: Ergodicity of reversible reaction diffusion processes
zbMATH Open document ID: 0669.60077
DOI: 10.1007/BF01377624
author: Wan-Ding Ding
author: Rick Durrett
author: Thomas M. Liggett
publication date: 1990-01-01T00:00:00Z
review text: Reaction-diffusion processes were introduced by \textit{G. Nicolis} and \textit{I. Prigogine} [Self-organization in nonequilibrium systems. (1977; Zbl 0363.93005)], and \textit{H. Haken} [Synergetics. An introduction. (1977; Zbl 0355.93003)]. Existence theorems have been established for most models, but not much is known about ergodic properties. In this paper we study a class of models which have a reversible measure. We show that the stationary distribution is unique and is the limit starting from any initial distribution.
Mathematics Subject Classification ID: 60J70
zbMATH DE Number: 4096533
zbMATH Keywords: Reaction-diffusion processes
zbMATH Keywords: ergodic properties
zbMATH Keywords: stationary distribution
MaRDI profile type: Publication
cites work: Collective phenomena in interacting particle systems
cites work: Infinite dimensional reaction-diffusion processes
cites work: Coupling for jump processes
cites work: Q3819819
cites work: Q4207467
cites work: Q3914193
cites work: Q3787249
cites work: Q3893028
cites work: Free energy in a Markovian model of a lattice spin system
cites work: An ergodic theorem for interacting systems with attractive interactions
cites work: A martingale approach to infinite systems of interacting processes
cites work: An infinite particle system with zero range interactions
cites work: Q5185817
cites work: Ergodic theorems for coupled random walks and other systems with locally interacting components
cites work: Time inhomogeneous Markov processes and the polarity of single points
cites work: An ergodic theorem for Schlögl models with small migration
cites work: Q3804496
Recommended article: The ergodicity of a class of reversible reaction-diffusion processes
Recommended article: Ergodicity of reversible reaction diffusion processes with general reaction rates
Recommended article: Ergodic theorems for reaction diffusion processes
Recommended article: Ergodic theorems for reaction-diffusion processes
Recommended article: Q5290631
Recommended article: Q4842803
Recommended article: Q4237778
Recommended article: Ergodicity breaking in one-dimensional reaction–diffusion systems
published in: Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
description: scientific article; zbMATH DE number 4096533