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Shallow cells in directional solidification

Shallow cells in directional solidification We present existing theory on two-dimensional transitions (appropriate to thin parallel-plate geometries) in such a way that one can identify easily conditions for the onset of shallow cells. By doing so we can give conditions under which succinonitrile-acetone mixtures should undergo supercritical bifurcation in experimentally accessible ranges. These results suggest a means for the quantitative test of the Mullins and Sekerka model and its weakly nonlinear extensions. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review Letters American Physical Society (APS)

Shallow cells in directional solidification

Merchant, G. J; Davis, S. H
Physical Review Letters , Volume 63 (5) – Jul 31, 1989
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Publisher
American Physical Society (APS)
Copyright
Copyright © 1989 The American Physical Society
ISSN
1079-7114
DOI
10.1103/PhysRevLett.63.573
Publisher site
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Abstract

We present existing theory on two-dimensional transitions (appropriate to thin parallel-plate geometries) in such a way that one can identify easily conditions for the onset of shallow cells. By doing so we can give conditions under which succinonitrile-acetone mixtures should undergo supercritical bifurcation in experimentally accessible ranges. These results suggest a means for the quantitative test of the Mullins and Sekerka model and its weakly nonlinear extensions.

Journal

Physical Review Letters – American Physical Society (APS)

Published: Jul 31, 1989

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