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Uspekhi Fizicheskikh Nauk, 2019, Volume 189, Number 7, Pages 691–702
DOI: https://doi.org/10.3367/UFNr.2018.08.038423 (Mi ufn6311) 		 
This article is cited in 7 scientific papers (total in 7 papers)

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Nonclassical transport in highly heterogeneous and sharply contrasting media

L. A. Bolshovab, P. S. Kondratenkoab, L. V. Matveevab

a Nuclear Safety Institute, Russian Academy of Sciences, Moscow
b Moscow Institute of Physics and Technology (National Research University), Dolgoprudnyi, Moscow region
Full-text PDF (712 kB) Citations (7)
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DOI: https://doi.org/10.3367/UFNr.2018.08.038423
Abstract: We review the physical models of nonclassical transport processes in highly heterogeneous media with different types of the spatial distribution of characteristics. We discuss transport in regularly heterogeneous, fractal, and statistically homogeneous sharply contrasting media, as well as in liquid media under the condition of Rayleigh–Benard convection. The behavior of the impurity concentration in the main localization region and at asymptotically large distances from the source is analyzed. The effect on the transport regimes arising due to the presence of colloids, as well as barriers surrounding the impurity source, is investigated. An asymptotic approach to the calculation of the concentration in a medium with large-scale heterogeneities in the distribution of transport characteristics is presented.
Funding agency Grant number
Russian Science Foundation 18-19-00533
The authors are indebted to the Russian Science Foundation (grant no. 18-19-00533) for financial support
Received: May 10, 2018
Revised: August 13, 2018
Accepted: August 31, 2018
English version:
Physics–Uspekhi, 2019, Volume 62, Issue 7, Pages 649–659
DOI: https://doi.org/10.3367/UFNe.2018.08.038423
Bibliographic databases:
Document Type: Article
PACS: 05.60.Cd, 66.10.C-
MSC: 05.60.Cd; 66.10.Cb
Language: Russian
Citation: L. A. Bolshov, P. S. Kondratenko, L. V. Matveev, “Nonclassical transport in highly heterogeneous and sharply contrasting media”, UFN, 189:7 (2019), 691–702; Phys. Usp., 62:7 (2019), 649–659
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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