TRANSPORT PHENOMENA IN FRACTAL AND HETEROGENEOUS MEDIA - INPUT OUTPUTRENORMALIZATION AND EXACT RESULTS/

The renormalization of transport equations and the exact solution of l inear and nonlinear transport equations on fractals are discussed. Dis crete balance equations are renormalized on a family of graphs paramet rized with respect to the order of iteration. The analogies and differ ences between input/output renormalization of the Green functions in t he case of transport phenomena and in the solution of wave propagation (Schrodinger equation, transmission lines) are analyzed. Exact result s for sorption on fractals and for first-order reaction/diffusion kine tics are presented. The extension of this method to solve complex tran sport schemes (linear and nonlinear) is also discussed. Copyright (C) 1996 Elsevier Science Ltd.