Three Dimensional Dendritic Growth from an Undercooled Binary Mixture

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


Up until now, we have considered dendritic growth only from a pure melt. Such a dendrite is also called a thermal dendrite. The dendritic structure on the interface may roughly describe the temperature profile in the melt. However, such a profile will not be traceable after the solidification is completed. A more practical dendritic growth system is the binary alloy system. The dendritic structure formed describes not only the interface shape but also the variation of impurity concentration. After the solidification is completed, the impurity distribution profile remains in the solid state and has a significant effect on the properties of the final materials. This chapter is devoted to this important subject.


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

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

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