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Teoreticheskaya i Matematicheskaya Fizika, 2001, Volume 128, Number 2, Pages 309–320
DOI: https://doi.org/10.4213/tmf498
(Mi tmf498)
 

This article is cited in 1 scientific paper (total in 1 paper)

Absence of Diffusion Through the Fractal Boundary of Two Media

G. B. Andreev, V. V. Maksimenko

Karpov Institute of Physical Chemistry
References:
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
English version:
Theoretical and Mathematical Physics, 2001, Volume 128, Issue 2, Pages 1097–1106
DOI: https://doi.org/10.1023/A:1010551723515
Bibliographic databases:
Language: Russian
Citation: G. B. Andreev, V. V. Maksimenko, “Absence of Diffusion Through the Fractal Boundary of Two Media”, TMF, 128:2 (2001), 309–320; Theoret. and Math. Phys., 128:2 (2001), 1097–1106
Citation in format AMSBIB
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\by G.~B.~Andreev, V.~V.~Maksimenko
\paper Absence of Diffusion Through the Fractal Boundary of Two Media
\jour TMF
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\vol 128
\issue 2
\pages 309--320
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\crossref{https://doi.org/10.4213/tmf498}
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\zmath{https://zbmath.org/?q=an:1160.82318}
\transl
\jour Theoret. and Math. Phys.
\yr 2001
\vol 128
\issue 2
\pages 1097--1106
\crossref{https://doi.org/10.1023/A:1010551723515}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000171572700011}
Linking options:
  • https://www.mathnet.ru/eng/tmf498
  • https://doi.org/10.4213/tmf498
  • https://www.mathnet.ru/eng/tmf/v128/i2/p309
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:43
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