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On the Influence of Amorphization on Atomic Diffusion in Condensed Systems
Author(s) -
Milchev A.,
Avramov I.
Publication year - 1983
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221200113
Subject(s) - random walk , dispersion (optics) , diffusion , mean field theory , statistical physics , amorphous solid , mean value , condensed matter physics , continuous time random walk , materials science , physics , thermodynamics , chemistry , mathematics , quantum mechanics , statistics , crystallography
A simple theoretical model which examines the effect of structural disorder on the mobility of diffusing particles in amorphous materials is suggested. So, following Anderson's ideas, it is assumed that structural disarray results in a probability distribution of energy barrier heights for diffusion around some mean value, E er , with a given dispersion δ E , used as a measure of disorder. In the framework of the mean field approximation and using the concept of random walks, it is shown that the impact of dispersion δ E on the mean stay time of the diffusing particles leads to corrections of several orders of magnitude, as compared to mean stay time values, calculated traditionally in terms of the average activation energy E cr only.