Published November 2007 | Version v1
Journal article

Diffusion in a heterogeneous medium for low concentrations

  • 1. National Academy of Sciences of Ukraine, Institute of Surface Chemistry (Ukraine)

Description

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

Additional details

Identifiers

Publishing Information

Journal Title
Journal of Experimental and Theoretical Physics
Journal Volume
105
Journal Issue
5
Journal Page Range
p. 1068-1074
ISSN
1063-7761
CODEN
JTPHES

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
39087989
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
DIFFUSION; DIFFUSION EQUATIONS; TIME DEPENDENCE
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS

Optional Information

Copyright
Copyright (c) 2007 Pleiades Publishing, Inc.