Analytical Solutions for Diffusion on Fractal Objects

Ben O'Shaughnessy and Itamar Procaccia
Phys. Rev. Lett. 54, 455 – Published 4 February 1985
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Abstract

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.

  • Received 5 July 1984

DOI:https://doi.org/10.1103/PhysRevLett.54.455

©1985 American Physical Society

Authors & Affiliations

Ben O'Shaughnessy and Itamar Procaccia

  • Department of Chemical Physics, Weizmann Institute of Science, Rehovot 76100, Israel

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Vol. 54, Iss. 5 — 4 February 1985

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