Analytical Solutions for Diffusion on Fractal Objects
- 4 February 1985
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 54 (5) , 455-458
- https://doi.org/10.1103/physrevlett.54.455
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.Keywords
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