Green's function approach to nonclassical reaction kinetics in fractal media

Abstract

We present an accurate description for the mean field kinetics of the reversible recombination reaction occurring in fractal media, which is in good agreement with Monte Carlo simulation results from an intermediate to a long time region. The central dynamic quantity is the Green's function for the generalized diffusion equation that is defined in a hypothetical space whose dimensionality is given by the fracton dimension (d) over tilde. An exact expression for the Green's function that is valid for arbitrary values of (d) over tilde is presented.