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)†
a School of Mathematical Science, Nankai University, Tianjin 300071, China; bDepartment 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
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.
Received: 04 July 2008
Revised: 29 August 2008
Accepted manuscript online:
PACS:
68.70.+w
(Whiskers and dendrites (growth, structure, and nonelectronic properties))
Fund: Project supported by the Nankai
University, China and in part by NSERC Grant of Canada.
Cite this article:
Chen Yong-Qiang(陈永强), Tang Xiong-Xin(唐熊忻), and Xu Jian-Jun(徐鉴君) Three-dimensional interfacial wave theory of dendritic growth: (II). non-axi-symmetric global wave modes and selection criterion of pattern formation 2009 Chin. Phys. B 18 686
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