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The Theory of the Stability of the Solid‐Liquid Interface under Constitutional Supercooling (II)
Author(s) -
Delves R. T.
Publication year - 1966
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.19660170116
Subject(s) - supercooling , thermodynamics , instability , stability (learning theory) , interface (matter) , diffusion , ideal (ethics) , amplitude , mathematics , materials science , mechanics , physics , computer science , optics , law , pulmonary surfactant , gibbs isotherm , machine learning , political science
The theory of the stability of the solid‐liquid interface during crystal growth given by the author previously is extended to include thermal effects, to first order in the amplitude of the initial disturbance. For dilute solutions the stability conditions are the same as those derived by Mullins and Sekerka using a simpler approach with time independent diffusion equations. The original criterion of Tiller et al. for the occurrence of constitutional supercooling does not predict instability correctly for some special non‐ideal solutions. The response of the interface to oscillatory variations of temperature is also calculated.