A hierarchy of kinetic equations for diffusion-reaction processes was derived by using a Fock space formalism for the master equation. In the diffusion-dominated case, the reactive part could be analyzed by using perturbation methods. In accord with experiment, the behavior of the system was governed by one space dimension. The summation of an entire class of terms in a perturbation series yielded the scaling behavior of the production rate of C. The solution depended upon the ratio of the diffusion constants, DA/DB, and upon the ratio of the characteristic time-scales for reaction and diffusion.

D.Conrad, S.Trimper: Zeitschrift für Physik B, 1994, 96[1], 137-44