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Morphological instabilities in the solidification front of binary mixtures

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Cellular Structures in Instabilities

Part of the book series: Lecture Notes in Physics ((LNP,volume 210))

Abstract

To conclude with respect to the present experiments, it is clear that much remains to be done to gain a better understanding of the various phenomena observed. Such studies will certainly provide a wealth of information on the dynamics of morphologic instabilities.

More generally, in the context of this book, we should like to point out some parallels which can be drawn between the convective instability and the solid-liquid interface one described here. First, the basic physical phenomena are similar : a system, pushed far from equilibrium (by an inverse temperature gradient in the Bayleigh-Benard problem, by an accumulation of solute in the present case) produces a macroscopically ordered, space-periodic response improving the corresponding transport : convection to carry heat, solute evacuation in the grooves between the cells observed here.

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References

  1. J.S. Langer, Rev. Mod. Phys. 52 (1980) 1, and references therein.

    Article  Google Scholar 

  2. J. Friedel, Dislocations, chapter VII, Pergamon Press, Oxford (1964)

    Google Scholar 

  3. W.W. Mullins, R.F. Sekerka, J. Appl. Phys. 35 (1964) 444

    Google Scholar 

  4. S.R. Coriell, R.F. Sekerka, J. Cryst. Growth 34 (1976) 157–163, and references therein

    Article  Google Scholar 

  5. D.T.J. Hurle, E. Jakeman, A.A. Wheeler, J. Cryst. Growth 58 (1932) 163–179 and references therein

    Article  Google Scholar 

  6. B. Caroli, C. Caroli, B. Roulet, J. Physique 43 (1982) 1767–1780

    Google Scholar 

  7. See for example: L.R. Morris, W.C. Winegard, J. Cryst. Growth 5 (1969) 361–375

    Article  Google Scholar 

  8. D.J. Wollkind, L.A. Segel, Phil. Trans. Roy. Soc. 268 (1970) 351–380

    Google Scholar 

  9. M. Kerzberg, Phys. Rev. B28 (1983) 247

    Google Scholar 

  10. K.A. Jackson, in Crystal Growth: A Tutorial Approach, ed. W. Bardsley, D.T.J. Hurle, J.B. Mullins, North Holland, Amsterdam (1979).

    Google Scholar 

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José Eduardo Wesfreid Stéphane Zaleski

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© 1984 Springer-Verlag

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Caroli, B., Caroli, C., de Cheveigné, S., Guthmann, C., Roulet, B. (1984). Morphological instabilities in the solidification front of binary mixtures. In: Wesfreid, J.E., Zaleski, S. (eds) Cellular Structures in Instabilities. Lecture Notes in Physics, vol 210. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-13879-X_93

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  • DOI: https://doi.org/10.1007/3-540-13879-X_93

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  • Online ISBN: 978-3-540-39073-2

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