Nonclassical transport in highly heterogeneous and sharply contrasting media

L.A. Bol’shov^a, b, P.S. Kondratenko^a, b, L.V. Matveev^a, b
^aNuclear Safety Institute, Russian Academy of Sciences, ul. Bolshaya Tulskaya 52, Moscow, 115191, Russian Federation
^bMoscow Institute of Physics and Technology (National Research University), Institutskii per. 9, Dolgoprudny, Moscow Region, 141701, Russian Federation

The physical models of nonclassical transport processes in highly heterogeneous media with different types of spatial distribution of characteristics are reviewed. The transport in a regularly heterogeneous, fractal and statistically homogeneous sharply contrasting, as well as in liquid media under the condition of Rayleigh—Benard convection is considered. 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 the 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.

Keywords: The physical models of nonclassical transport processes in highly heterogeneous media with different types of spatial distribution of characteristics are reviewed. The transport in a regularly heterogeneous, fractal and statistically homogeneous sharply contrasting, as well as in liquid media under the condition of Rayleigh€--€Benard convection is considered. 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 the 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.
PACS: 005.60.Cd, 66.10.C−
DOI: 10.3367/UFNe.2018.08.038423
URL: https://ufn.ru/en/articles/2019/7/b/
Web of Science

000492057500002
Scopus

2-s2.0-85076764312
ADS NASA

2019PhyU...62..649B
Citation: Bol’shov L A, Kondratenko P S, Matveev L V "Nonclassical transport in highly heterogeneous and sharply contrasting media" Phys. Usp. 62 649–659 (2019)

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Received: 10th, May 2018, revised: 13th, August 2018, accepted: 31st, August 2018

Оригинал: Большов Л А, Кондратенко П С, Матвеев Л В «Неклассический перенос в сильнонеоднородных и резко контрастных средах» УФН 189 691–702 (2019); DOI: 10.3367/UFNr.2018.08.038423