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Interfacial wave theory of dendrite growth - Global mode solution and quantum conditionThe signal feedback process at the edge of the dendrite tip is investigated, and the global instability mechanism of the system is derived. A mechanism is developed to describe a discrete set of unstable global modes for the system. Called WEASR, the method considers the wave emission at the turning point and signal reflections between the turning point and the front edge of the tip. It is shown that the method can obtain the asymptotic solutions for the unstable global modes and the quantum condition for the corresponding eigenvalues. A turning point called the pattern formation condition is shown to be crucial in the formation of dendritic structure and the choice of the final tip velocity. The wave emission process is outlined, and the importance of a signal feedback process at the edge of the dendrite tip is demonstrated. Parameters such as stability and surface tension can be analyzed in terms of their effects on WEASR modes.
Document ID
19910053601
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Xu, Jian-Jun
(McGill University Montreal, Canada)
Date Acquired
August 15, 2013
Publication Date
January 1, 1990
Publication Information
Publication: Canadian Journal of Physics
Volume: 68
ISSN: 0008-4204
Subject Category
Materials Processing
Accession Number
91A38224
Funding Number(s)
CONTRACT_GRANT: NAS8-37301
Distribution Limits
Public
Copyright
Other

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