Directional Solidification of a Faceted Crystal

  • B. Caroli
  • C. Caroli
  • B. Roulet
Part of the NATO ASI Series book series (NSSB, volume 225)


When a dilute binary mixture is pulled at constant velocity V in an external thermal gradient G, the solid-liquid interface exhibits a morphological instability when V becomes larger than a threshold velocity Vc(G). For V < Vc the stationary interface is planar, for V > Vc it develops a (quasi)periodic cellular structure. This instability, first analyzed by Mullins and Sekerka(1), results from the competition between the destabilizing effect of solute diffusion and the stabilization due to the thermal gradient and to capillarity.


Directional Solidification Deformation Amplitude Facet Crystal Curve Part Constant Velocity Versus 
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Copyright information

© Plenum Press, New York 1990

Authors and Affiliations

  • B. Caroli
    • 2
  • C. Caroli
    • 1
    • 2
  • B. Roulet
    • 1
  1. 1.Groupe de Physique des solides associé au Centre National de la Recherche ScientifiqueUniversité Paris VIIParis Cedex 05France
  2. 2.Département de Physique, U.F.R. Sciences Fondamentales et AppliquéesUniversité de PicardieAmiens CedexFrance

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