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, 113191, 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)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

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

References (74) Cited by (7) Similar articles (20) ↓

R.T. Sibatov, V.V. Uchaikin “Fractional differential approach to dispersive transport in semiconductors” 52 1019–1043 (2009)
V.V. Uchaikin “Fractional phenomenology of cosmic ray anomalous diffusion” 56 1074–1119 (2013)
O.G. Bakunin “Stochastic instability and turbulent transport. Characteristic scales, increments, diffusion coefficients” 58 252–285 (2015)
O.G. Bakunin “Reconstruction of streamline topology, and percolation models of turbulent transport” 56 243–260 (2013)
V.P. Budaev, S.P. Savin, L.M. Zelenyi “Investigation of intermittency and generalized self-similarity of turbulent boundary layers in laboratory and magnetospheric plasmas: towards a quantitative definition of plasma transport features” 54 875–918 (2011)
L.A. Bol’shov, P.S. Kondratenko, V.F. Strizhov “Natural convection in heat-generating fluids” 44 999–1016 (2001)
A.M. Bykov, I.N. Toptygin “Particle kinetics in highly turbulent plasmas (renormalization and self-consistent field methods)” 36 (11) 1020–1052 (1993)
L.M. Zelenyi, A.V. Milovanov “Fractal topology and strange kinetics: from percolation theory to problems in cosmic electrodynamics” 47 749–788 (2004)
L.A. Bol’shov, A.P. Napartovich et al “Submonolayer films on the surface of metals” 20 432–451 (1977)
A.V. Eletskii, A.A. Knizhnik et al “Electrical characteristics of carbon nanotube doped composites” 58 209–251 (2015)
A.A. Chernyshov, K.V. Karelsky, A.S. Petrosyan “Subgrid-scale modeling for the study of compressible magnetohydrodynamic turbulence in space plasmas” 57 421–452 (2014)
V.V. Zosimov, L.M. Lyamshev “Fractals in wave processes” 38 347–384 (1995)
M.O. Denisova, A.L. Zuev, K.G. Kostarev “Oscillatory modes of concentration convection” 65 767–788 (2022)
B.D. Agap’ev, M.B. Gornyi et al “Coherent population trapping in quantum systems” 36 (9) 763–793 (1993)
S.L. Sobolev “Transport processes and traveling waves in systems with local nonequilibrium” 34 (3) 217–229 (1991)
G.N. Makarov “Laser IR fragmentation of molecular clusters: the role of channels for energy input and relaxation, influence of surroundings, dynamics of fragmentation” 60 227–258 (2017)
G.B. Lesovik, I.A. Sadovskyy “Scattering matrix approach to the description of quantum electron transport” 54 1007–1059 (2011)
Yu.Kh. Vekilov, M.A. Chernikov “Quasicrystals” 53 537–560 (2010)
A.V. Eletskii “Transport properties of carbon nanotubes” 52 209–224 (2009)
V.N. Bezmel’nitsyn, A.V. Eletskii, M.V. Okun’ “Fullerenes in solutions” 41 1091–1114 (1998)

The list is formed automatically.