Journal of Statistical Physics, Vol. 56, Nos. 5/6, 1989. p. 895-910.
A formalism developed for the treatment of chainlike models of reaction dynamics is applied to simple reacting systems and generalized to treat a reaction with a branching process. The models can be solved exactly, and the overall rates of the reactions are studied as a function of the rates arising from different dynamical regimes involved in the microscopic mechanisms.