中国物理B ›› 2009, Vol. 18 ›› Issue (2): 686-698.doi: 10.1088/1674-1056/18/2/047

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Three-dimensional interfacial wave theory of dendritic growth: (II). non-axi-symmetric global wave modes and selection criterion of pattern formation

陈永强1, 徐鉴君2, 唐熊忻3   

  1. (1)School of Mathematical Science, Nankai University, Tianjin 300071, China;Department of Fundamental Subject, Tianjin Institute of Urban Construction, Tianjin 300384, China; (2)School of Mathematical Science, Nankai University, Tianjin 300071, China;Department of mathematics and Statistics, McGill University, H3A2K6 Montreal, Canada; (3)School of Mathematical Science, Nankai University, Tianjin 300071, China;School of materials Science and Engineering, University of Science and Technology Beiji
  • 收稿日期:2008-07-04 修回日期:2008-08-29 出版日期:2009-02-20 发布日期:2009-02-20
  • 基金资助:
    Project supported by the Nankai University, China and in part by NSERC Grant of Canada.

Three-dimensional interfacial wave theory of dendritic growth: (II). non-axi-symmetric global wave modes and selection criterion of pattern formation

Chen Yong-Qiang(陈永强)a)b), Tang Xiong-Xin(唐熊忻)a)c), and Xu Jian-Jun(徐鉴君)a)d)†   

  1. a School of Mathematical Science, Nankai University, Tianjin 300071, China; b Department of Fundamental Subject, Tianjin Institute of Urban Construction, Tianjin 300384, China; c School of materials Science and Engineering, University of Science and Technology Beijing, Beijing 100083, China; d Department of Mathematics and Statistics, McGill University, H3A2K6 Montreal, Canada
  • Received:2008-07-04 Revised:2008-08-29 Online:2009-02-20 Published:2009-02-20
  • Supported by:
    Project supported by the Nankai University, China and in part by NSERC Grant of Canada.

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摘要： This paper is the continuation of part (I), which completes the derivations of the 3D global wave modes solutions, yields the stability criterion and, on the basis of the results obtained, demonstrates the selection criterion of pattern formation.

关键词: dendritic growth, pattern formation, interfacial waves, selection criterion

Abstract: This paper is the continuation of part (I), which completes the derivations of the 3D global wave modes solutions, yields the stability criterion and, on the basis of the results obtained, demonstrates the selection criterion of pattern formation.

Key words: dendritic growth, pattern formation, interfacial waves, selection criterion

中图分类号:  (Whiskers and dendrites (growth, structure, and nonelectronic properties))

  • 68.70.+w
47.35.-i (Hydrodynamic waves)