Kinetics of Catalysis-Driven Aggregation Processes with Sequential Input of Catalyst

We investigate the kinetic behavior of a two-species catalysis-driven aggregation model, in which coagulation of species A occurs only with the help of species B. We suppose the monomers of species B are stable and cannot self-coagulate in reaction processes. Meanwhile, the monomers are continuouslyinjected into the system. The model with a constant rate kernel isinvestigated by means of the mean-field rate equation. We show that the kinetics of the system depends crucially on the details of the input term. The injection rate of species B is assumed to take the given time-dependent form K(t)～t^λ, andthe scaling solution of the cluster size distribution is theninvestigated analytically. It is found that the cluster sizedistribution can satisfy the conventional or modified scaling formin most cases.