Abstract
The analytical solution for the case of one-dimensional diffusion in a homogeneous, three-component system, in which the diffusion coefficients are assumed to be independent of concentration, is subjected to a more detailed analysis than was given in a previous paper. An analytical relationship is derived that enables one to choose boundary conditions in such a way as to eliminate all physically meaningless special solutions containing negative concentrations. It is shown that the magnitude of the ratio of an off-diagonal coefficient to the sum of the principal diffusion coefficients may be used as one of the criteria in the procedure. Further, a generalization of the analysis enables one to specify the parameters that control the depths of minima in non-monotonic concentration-penetration curves which are physically meaningful.
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