Exact Results for Kinetics of Catalytic Reactions

Abstract

The kinetics of an irreversible catalytic reaction on substrate of arbitrary dimension is examined. In the limit of infinitesimal reaction rate (reaction-controlled limit), we solve the dimer-dimer surface reaction model (or voter model) exactly in arbitrary dimension $D$. The density of reactive interfaces is found to exhibit a power law decay for $D<2$ and a slow logarithmic decay in two dimensions. We discuss the relevance of these results for the monomer-monomer surface reaction model.

4 pages, RevTeX, no figures

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• Slow Relaxation in a Model with Many Conservation Laws : Deposition and Evaporation of Trimers on a Line
• Heterogeneous Catalysis on a Disordered Surface

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