Exact results for kinetics of catalytic reactions
Physical Review E, 53 (4):
R3009--R3012 (April 1996)DOI: 10.1103/physreve.53.r3009
Abstract
The kinetics of an irreversible catalytic reaction on a 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.