Multiple interface velocity solutions for ternary biphase infinite diffusion couples

Philippe Maugis

doi:10.1016/S1359-6454(96)00321-7

Multiple interface velocity solutions for ternary biphase infinite diffusion couples

1997-05-01

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DOI：10.1016/S1359-6454(96)00321-7

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This contribution expands and quantifies the discovery that more than one interface velocity can exist for planar interfaces in infinite two-phase ternary diffusion couples and herewith exhibits multiple degeneracies which identify both mode and wave number selection problems. Our demonstrations are based upon a class of linear phase diagrams with constant coefficients in the four parabolic Fick equations involved. For a given set of coefficients it is found that couple terminal compositions that may lead to multiple velocities are confined to a zone close to the two-phase domain in the Gibbs isotherm. When the composition of one terminal point is fixed, a map can be drawn for the position of the other terminal point and this allows us to predict the multiplicity of the solution: single, double or triple. We show how this map is related to an interface instability map. As an application, multiple paths in the Zn-Ni-Cu system are predicted and compared with experiment. The difficult problem of removing the degeneracies is discussed. (C) 1997 Acta Metallurgica Inc.

Multiple interface velocity solutions for ternary biphase infinite diffusion couples

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