Anomalous diffusion in generalized Dykhne model

Contaminant transport is investigated in the generalized Dykhne model differing from the original Dykhne model by the presence of advection in the high-permeability medium. An analysis is presented of transport regimes and concentration tail behavior in the high-permeability medium. It is found that...

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Bibliographic Details
Published in:Journal of experimental and theoretical physics 2010-01, Vol.110 (1), p.58-66
Main Authors: Dvoretskaya, O. A., Kondratenko, P. S., Matveev, L. V.
Format: Article
Language:English
Subjects:
ADVECTION
Analysis
ASYMPTOTIC SOLUTIONS
Classical and Quantum Gravitation
CONCENTRATION RATIO
CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
DIFFUSION
DIMENSIONLESS NUMBERS
Disorder
DISTANCE
DISTRIBUTION
Elementary Particles
MASS TRANSFER
MATHEMATICAL MODELS
MATHEMATICAL SOLUTIONS
Order
Particle and Nuclear Physics
PERMEABILITY
Phase Transition in Condensed System
PHYSICAL PROPERTIES
Physics
Physics and Astronomy
Quantum Field Theory
Relativity Theory
Solid State Physics
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Summary:Contaminant transport is investigated in the generalized Dykhne model differing from the original Dykhne model by the presence of advection in the high-permeability medium. An analysis is presented of transport regimes and concentration tail behavior in the high-permeability medium. It is found that the transport regimes include anomalous ones: subdiffusion and quasi-diffusion. A difference is revealed between longitudinal and transverse transport. Regime change over time leads to multiple-regime long-distance asymptotic behavior of concentration distributions. An analogy is drawn between the problems examined here and transport through comb structures.
ISSN:1063-7761
1090-6509
DOI:10.1134/S1063776110010085