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Ternary Diffusion with Two Moving Boundaries
Author(s) -
CHRISTENSEN N. H.
Publication year - 1977
Publication title -
journal of the american ceramic society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.9
H-Index - 196
eISSN - 1551-2916
pISSN - 0002-7820
DOI - 10.1111/j.1151-2916.1977.tb16093.x
Subject(s) - ternary operation , diffusion , eigenvalues and eigenvectors , binary number , simple (philosophy) , path (computing) , series (stratigraphy) , minor (academic) , mathematics , statistical physics , thermodynamics , computer science , physics , geology , paleontology , philosophy , arithmetic , epistemology , quantum mechanics , programming language , political science , law
The problem of unidirectional diffusion with 2 moving boundaries is pertinent to the study of reactions between condensed phases. The solution for binary diffusion is presented, and an eigenvector approach is outlined for the solution of the problem in a ternary diffusion system. The complete solution is given for some specific situations. Typically, the diffusion path deviates from the series of simple mixtures and tends to follow the direction of the minor eigenvector. This behavior is also true for cases where linear approximations are applicable.