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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
引用本文:陈永强,唐熊忻,徐鉴君.Three-dimensional interfacial wave theory of dendritic growth: (Ⅱ). non-axi-symmetric global wave modes and selection criterion of pattern formation[J].中国物理 B,2009,18(2):686-698.
作者姓名:陈永强  唐熊忻  徐鉴君
作者单位:School of Mathematical Science, Nankai University, Tianjin 300071, China;Department of Fundamental Subject, Tianjin Institute of Urban Construction, Tianjin 300384, China;School of Mathematical Science, Nankai University, Tianjin 300071, China;School of materials Science and Engineering, University of Science and Technology Beijing, Beijing 100083, China;School of Mathematical Science, Nankai University, Tianjin 300071, China;Department of mathematics and Statistics, McGill University, H3A2K6 Montreal, Canada
基金项目:Project supported by the Nankai University, China and in part by NSERC Grant of Canada.
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  
收稿时间:7/4/2008 12:00:00 AM

Three-dimensional interfacial wave theory of dendritic growth: (II). non-axi-symmetric global wave modes and selection criterion of pattern formation
Chen Yong-Qiang,Tang Xiong-Xin and Xu Jian-Jun.Three-dimensional interfacial wave theory of dendritic growth: (II). non-axi-symmetric global wave modes and selection criterion of pattern formation[J].Chinese Physics B,2009,18(2):686-698.
Authors:Chen Yong-Qiang  Tang Xiong-Xin and Xu Jian-Jun
Institution:School of Mathematical Science, Nankai University, Tianjin 300071, China;  Department of Fundamental Subject, Tianjin Institute of Urban Construction, Tianjin 300384, China; School of materials Science and Engineering, University of Science and Technology Beijing, Beijing 100083, China;  Department of Mathematics and Statistics, McGill University, H3A2K6 Montreal, Canada
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.
Keywords:dendritic growth  pattern formation  interfacial waves  selection criterion
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