Geodesic
Absence of Diffusion Through the Fractal Boundary of Two Media
Teoretičeskaâ i matematičeskaâ fizika, Tome 128 (2001) no. 2, pp. 309-320 
G. B. Andreev; V. V. Maksimenko. Absence of Diffusion Through the Fractal Boundary of Two Media. Teoretičeskaâ i matematičeskaâ fizika, Tome 128 (2001) no. 2, pp. 309-320. http://geodesic.mathdoc.fr/item/TMF_2001_128_2_a10/
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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