Exact Results for Kinetics of Catalytic Reactions
L. Frachebourg, P. L. Krapivsky
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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