Non-classical transport in highly heterogeneous and sharply contrasting media
L.V. Matveeva,b aNuclear Safety Institute, Russian Academy of Sciences (IBRAE), ul. Bolshaya Tulskaya 52, Moscow, 113191, Russian Federation bMoscow Institute of Physics and Technology (State University), Institutskii per. 9, Dolgoprudnyi, Moscow Region, 141700, Russian Federation
The physical models of non- impurity 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: superdiffusion, subdiffusion, concentration asymptotics, percolation media, double porocity, sorption PACS:05.60.Cd, 66.10.Cb (all) DOI:10.3367/UFNe.2018.08.038423 Citation: Bol’shov L A, Kondratenko P S, Matveev L V "Non-classical transport in highly heterogeneous and sharply contrasting media" Phys. Usp., accepted
Received: 10th, May 2018, revised: 13th, August 2018, accepted: 31st, August 2018