This article is cited in 2 papers

Absence of Diffusion Through the Fractal Boundary of Two Media

G. B. Andreev, V. V. Maksimenko

Karpov Institute of Physical Chemistry

Abstract: We consider ideal gas diffusion through a fractal boundary between two homogeneous media. This boundary is modeled by a spatially self-similar system of folds of the interface surface between the media. This surface can have a finite volume, which is then identified with the physical volume of the boundary layer. We show that the effective diffusion coefficient of ideal molecules vanishes in this layer.

Received: 10.10.2000
Revised: 22.01.2001

DOI: 10.4213/tmf498

 English version: Theoretical and Mathematical Physics, 2001, 128:2, 1097–1106

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