F. Weinberg International Symposium on Solidification by J. E. Lait and I. V. Samarasekera (Eds.)

By J. E. Lait and I. V. Samarasekera (Eds.)

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Additional resources for F. Weinberg International Symposium on Solidification Processing. Proceedings of the F. Weinberg International Symposium on Solidification Processing, Hamilton, Ontario, August 27–29, 1990

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There is a discrete spectrum of steady velocity states, the highest of which is the only one which is perturbation stable. Ergo, nature selects for the only stable maximum velocity state. It has not escaped the attention of Langer (21) and others that this outcome of deep and extended theoretical research fails, as many would have liked (22), to completely dislodge the involvement of "ad hoc" principles in wave number selection. Indeed, we have been brought back to Zener's maximum velocity criterion (6) in a quantitatively different form.

The second discovery, which is more significant, is that when the surface tension (or interface kinetics) is recognized as sinusoidally anisotropic, steady states are recovered but not in a continuum. There is a discrete spectrum of steady velocity states, the highest of which is the only one which is perturbation stable. Ergo, nature selects for the only stable maximum velocity state. It has not escaped the attention of Langer (21) and others that this outcome of deep and extended theoretical research fails, as many would have liked (22), to completely dislodge the involvement of "ad hoc" principles in wave number selection.

R. D. H a r r i s o n , Investigation of Desalination by Freezing, Westinghouse Research Laboratory Report (1967) Chapter 3. W. , Mat. Sei. Eng. 11, 211 (1973). S. Langer and H. Müller-Krumbhaar, Acta Met. 26,1681 (1978). W. F. Sekerka, J. Appl. Phys. 34, 323 (1963). -C. E. Glicksman, Acta Met. 29, 701 (1981). F. Sekerka, J. Phys. Chem. Solids 28, 983 (1967). J. A. Segel Proc. Roy. Soc. (London), 268, 351 (1970). S. Langer, Science 243 1150 (1989). F. Liu and N. Goldenfeld, Phys. Rev. A 38,407 (1988).

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