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Exact Results for Kinetics of Catalytic Reactions

L. Frachebourg·P. L. Krapivsky
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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.

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L. Frachebourg, P. L. Krapivsky. 1995-08-25. Exact Results for Kinetics of Catalytic Reactions. https://doi.org/10.1103/physreve.53.r3009

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