Absence of diffusion through the fractal boundary of two media

Authors
Andreev, GB Maksimenko, VV
Citation
Gb. Andreev et Vv. Maksimenko, Absence of diffusion through the fractal boundary of two media, THEOR MATH, 128(2), 2001, pp. 1097-1106
Citations number
8
Categorie Soggetti
Physics
Journal title
THEORETICAL AND MATHEMATICAL PHYSICS
ISSN journal
00405779 → ACNP
Volume
128
Issue
2
Year of publication
2001
Pages
1097 - 1106
Database
ISI
SICI code
0040-5779(200108)128:2<1097:AODTTF>2.0.ZU;2-I
Abstract
We consider ideal gas diffusion through a Fractal boundary between two homo geneous 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 b oundary layer. We show that the effective diffusion coefficient of ideal mo lecules vanishes in this layer.