Kinetics in dynamically disordered systems: Time scale dependence of reaction patterns in condensed media

Abstract

The dependence of the patterns of reactions in condensed media on the time scale is rationalized in terms of the renewal theory with a fractal set of renewal moments which results from the use of Kohlrausch (1863) function to describe the structural relaxations in the systems. When the rates of relaxations exceed markedly those of reactions the classical patterns of reaction kinetics are shown to be valid for disordered systems. The dispersive nature of kinetics becomes evident when the rates of reactions approach those of structural relaxations and in the limit, corresponding to suppressed internal rearrangements, the reaction patterns are shown to be those following from reaction modeling in statically disordered systems.