Diffusion in a heterogeneous medium for low concentrations

Journal Article · Thu Nov 15 00:00:00 EST 2007 · Journal of Experimental and Theoretical Physics

DOI:https://doi.org/10.1134/S1063776107110180· OSTI ID:21075656

Shkilev, V. P. ^[1]

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1. National Academy of Sciences of Ukraine, Institute of Surface Chemistry (Ukraine), E-mail: [e-mail]

The equations describing diffusion on a heterogeneous lattice for low concentrations are considered taking into account lattice site blocking. It is shown that lattice site blocking cannot be disregarded in the case of a strongly heterogeneous lattice even for low concentrations. It is established that the equation with a fractional time derivative holds only in a bounded time interval. Anomalous diffusion, which is described by the equation with a fractional time derivative at the initial stage, must be described over long time periods by an ordinary diffusion equation with a concentration-dependent diffusion coefficient.

• OSTI ID: 21075656
• Journal Information: Journal of Experimental and Theoretical Physics, Vol. 105, Issue 5; Other Information: DOI: 10.1134/S1063776107110180; Copyright (c) 2007 Nauka/Interperiodica; Article Copyright (c) 2007 Pleiades Publishing, Inc; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7761
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIFFUSION
DIFFUSION EQUATIONS
TIME DEPENDENCE