Anomalous Kinetics in A + B--, C with

Abstract

Abstract- We review recent developments in the study of the diffusion reaction system of the type A+B-- ~ C in which the reactants are initially separated. We consider the case where the A and/3 particles are initially placed uniformly in Euclidean space at x> 0 and x < 0 respectively. We find that whereas for d> 2 a single scaling exponent characterizes the width of the reaction zone, a multiscaling approach is needed to describe the one-dimensional system. We also present analytical and numerical results for the reaction rate on fractals and percolation systems.

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