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- W2055099175 abstract "The removal of the degeneracy in the steady-state diffusion-capillarity relation for the undercooling of lamellar eutectics as a function of forced growth velocity and spacing requires the statement of a global principle. The consequences of Langer's conjecture that each lamella must grow in a direction which is perpendicular to the solidification front have been explored. In the first instance it is demonstrated that the principle is equivalent on the isotherm to a conditional minimum in the frontal-surface free energy. Secondly, it is deduced for forced-velocity eutectics that the stable spacing is $sqrt{2}{ensuremath{lambda}}_{m}$, where ${ensuremath{lambda}}_{m}$ is given by a minimum in the undercooling. Langer and co-workers have been led to favor the value ${ensuremath{lambda}}_{m}$ on the basis of an unjustified approximation. In contradistinction to Langer's identification of a diffusive mode for relaxation of lamellar spacing, we find that the mechanism of stabilization is best described as a damped oscillation in the spacing. The present stable coordinate is identical with that obtained for isothermal structures via Langer's conjecture and by a number of earlier related perturbation arguments. It corresponds to an isothermal state of the spacing which coincides with a maximum in the entropy-production rate. The thermodynamic validation of this principle is briefly discussed." @default.
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- W2055099175 date "1984-12-15" @default.
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- W2055099175 title "Predicting the patterns in lamellar growth" @default.
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- W2055099175 doi "https://doi.org/10.1103/physrevb.30.6889" @default.
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