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Coexistence results for catalysts
Authors:Rick Durrett  Glen Swindle
Institution:(1) Department of Mathematics, Cornell University, White Hall, 14850 Ithaca, NY, USA;(2) Department of Statistics and Applied Probability, University of California, 93106 Santa Barbara, CA, USA
Abstract:Summary In this paper we consider a modification of Ziff, Gulari and Barshad's (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 stirring and a limiting system of reaction diffusion equations.
Keywords:60K35
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