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Boundary-layer model of pattern formation in solidificationA model of pattern formation in crystal growth is proposed, and its analytic properties are investigated. The principal dynamical variables in this model are the curvature of the solidification front and the thickness (or heat content) of a thermal boundary layer, both taken to be functions of position along the interface. This model is mathematically much more tractable than the realistic, fully nonlocal version of the free-boundary problem, and still recaptures many of the features that seem essential for studying dendritic behavior, for example. Preliminary numerical solutions produce snowflakelike patterns similar to those seen in nature.
Document ID
19840048423
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Ben-Jacob, E.
(California Univ. Santa Barbara, CA, United States)
Goldenfeld, N.
(California Univ. Santa Barbara, CA, United States)
Langer, J. S.
(California Univ. Santa Barbara, CA, United States)
Schon, G.
(California, University Santa Barbara, CA, United States)
Date Acquired
August 12, 2013
Publication Date
January 1, 1984
Publication Information
Publication: Physical Review A - General Physics, 3rd Series
Volume: 29
ISSN: 0556-2791
Subject Category
Solid-State Physics
Accession Number
84A31210
Funding Number(s)
CONTRACT_GRANT: NSF PHY-77-27084
CONTRACT_GRANT: DE-AM03-76SF-00034
Distribution Limits
Public
Copyright
Other

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