SOLUTION OF TRANSPORT SCHEMES ON FRACTALS BY MEANS OF GREEN-FUNCTION RENORMALIZATION - APPLICATION TO INTEGRAL QUANTITIES

Green function renormalization is applied to obtain exact recursions f or integral quantities and integral transforms of concentration fields , involving a summation over a manifold of lattice sites or over the e ntire lattice. Definition of the Fourier transform of the Green functi ons, to some extent equivalent to the dynamic structure factor, is ext remely useful to obtain quantitative information on the spatial behavi or of concentration profiles and eigenfunctions. Some preliminary resu lts on sorption properties of product lattices are presented. The appl ication of anisotropic lattice models to study the volume-to-surface e ffects in adsorption and reaction is discussed. The properties of the Green function generating function are also analyzed.