Analytical Solutions for Diffusion on Fractal Objects

著者: Ben O’Shaughnessy, Itamar Procaccia - Physical Review Letters 1985 被引用: 471

A generalization of the Euclidean diffusion equation is proposed for diffusion on fractals on the basis of a scaling argument, a renormalization-group theory for the Green's function, and numerical tests. Conjectures on the applicability to natural fractals (such as porous media) are presented.