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A Smoluchowski-Type Coagulation Equation for Polymerization of an f-Functional Monomer with Substitution Effect

A partial differential equation has been derived for a generating function describing the cluster (molecular) size and structure distribution in the kinematically controlled polymerization of an f-functional monomer proceeding with a substitution effect. The substitution effect makes the reactivity of a functional group belonging to a unit dependent on the number of groups that have already reacted. The equation has the same form as the compact version of the Smoluchowsky coagulation equation with a product kernel.