INFLUENCE OF THE SPATIAL-DISTRIBUTION OF REACTIVE CENTERS ON DIFFUSION CONTROLLED REACTIONS

The influence of the spatial distribution of fixed reactive centers on the diffusion controlled kinetics of reagent particles is investigated on the basis of a mean-field method for the reaction rate. The reaction kinetics are analyzed in systems where the reactive centers are randomly distributed on the sphere, a line, an array of lines, and other geometrical structures imbedded in two and three dimensions. Finite-size effects influence the time dependence of the reaction rate on different time scales as a result of the competition for the diffusing particles by the fixed reactive centers.