Abstract
A cellular‐automaton model for the diffusion on a lattice is introduced. The spatial and temporal correlations that appear in the model are compared with the results of the correlated random walk, which has been obtained by Monte Carlo simulations. Very good agreement was found between these completely different simulations for the spatial correlations. The temporal correlations are quite different because of the nonequivalent temporal evolution of the two models. This new cellular automaton model is used to describe a reaction‐diffusion system that represents the catalytic oxidation of CO on a metal surface.