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Coexistence results for catalysts
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  • Published: December 1994

Coexistence results for catalysts

  • Rick Durrett1 &
  • Glen Swindle2 

Probability Theory and Related Fields volume 98, pages 489–515 (1994)Cite this article

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  • 11 Citations

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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.

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Authors and Affiliations

  1. Department of Mathematics, Cornell University, White Hall, 14850, Ithaca, NY, USA

    Rick Durrett

  2. Department of Statistics and Applied Probability, University of California, 93106, Santa Barbara, CA, USA

    Glen Swindle

Authors
  1. Rick Durrett
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  2. Glen Swindle
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Cite this article

Durrett, R., Swindle, G. Coexistence results for catalysts. Probab. Th. Rel. Fields 98, 489–515 (1994). https://doi.org/10.1007/BF01192836

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  • Received: 04 May 1993

  • Revised: 10 October 1993

  • Issue Date: December 1994

  • DOI: https://doi.org/10.1007/BF01192836

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