Unidirectional Solidification and the Mullins-Sekerka Instability

  • Jian-Jun Xu
Part of the Springer Series in Synergetics book series (SSSYN, volume 68)

Abstract

Before we begin the study of dendritic growth, it is appropriate to examine a simple case first: the instability of a planar interface in unidirectional solidification. Mullins and Sekerka were the first, in 1963, to perform a systematic analysis of this system. Their linear stability analysis is now called the Mullins-Sekerka instability [2.1].

Keywords

Anisotropy Convection Enthalpy Terion JoDo 

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References

  1. 2.1
    W. W. Mullins, and R. F. Sekerka, “Morphological Stability of a Particle Growing by Diffusion or Heat Flow”, J. Appl. Phys. 34, pp. 323–329, (196S).ADSCrossRefGoogle Scholar
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  8. 2.8
    B. Billia and R. Trivedi, “Pattern Formation in Crystal Growth”, Chapter 14, in ‘Handbook of Crystal Growth, Volume 1: Fundamentals, Part B: Transport and Stability’ Ed. by D.T.J. Hude, (Elsevier Science, North-Holland, Amsterdam, 1993).Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Jian-Jun Xu
    • 1
  1. 1.Department of Mathematics and StatisticsMcGill UniversityMontrealCanada

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