Coexistence results for catalysts
type: Item
instance of: scholarly article
title: Coexistence results for catalysts
zbMATH Open document ID: 0794.60106
DOI: 10.1007/BF01192836
publication date: 1994-08-28T00:00:00Z
review text: We consider a modification of \textit{R. M. Ziff}, \textit{E. Gulari} and \textit{Y. Barshad}'s [Phys. Rev. Lett. 56, 2553-2556 (1986)] model of oxidation of carbon monoxide on a catalyst surface in which the reactants are mobile on the catalyst surface. We find regions in the parameter space in which poisoning occurs (the catalyst surface becomes completely occupied by one type of atom) and another in which there is a translation invariant stationary distribution in which the two atoms have positive density. The last result is proved by exploiting a connection between the particle system with fast stiring and a limiting system of reaction- diffusion equations.
Mathematics Subject Classification ID: 60K35
zbMATH DE Number: 569027
zbMATH Keywords: model of oxidation of carbon monoxide
zbMATH Keywords: particle system
zbMATH Keywords: reaction- diffusion equations
author: Rick Durrett
author: G. H. Swindle
MaRDI profile type: Publication
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published in: Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
description: scientific article; zbMATH DE number 569027