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Possible Anomalies in Multicomponent Diffusion
Author(s) -
Kvasnica J.
Publication year - 1989
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.2221510105
Subject(s) - diffusion , maxima and minima , maxima , ternary operation , anomalous diffusion , thermodynamics , mathematics , statistical physics , physics , mathematical analysis , computer science , art , knowledge management , innovation diffusion , performance art , programming language , art history
The evolution of concentrations in multicomponent diffusion depends on a characteristic parameter Δ constructed in terms of the diffusion coefficients D ik . For ternary diffusion Δ = (D 22 D 11 ) 2 + + 4 D 12 D 21 where D 12 D 21 can have both signs. In the case Δ > 0 one gets the normal monotonous evolution of concentrations, Δ < 0 leads to damped oscillations, at Δ = 0 there appear maxima and minima of concentrations for some values x 2 / t .