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Patterns in Directional Solidification
1990There have recently been a set of new phenomena observed in the directional solidification of liquid crystals, including travelling waves and spatial period doubling. We apply the integro-differential method to the liquid crystal system of Simon et.al. and show that we can reproduce the period doubling state.
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Pattern selection in directional solidification
Physical Review B, 1983The equations of motion for a slightly deformed planar solidification front advancing with a steady velocity and stabilized by a thermal gradient are integrated numerically. The regime where the interface develops a cellular pattern is analyzed. We study the case where the system is subjected to Gaussian white noise.
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Deep Cells in Directional Solidification
1991The deep cells regime in directional solidification of binary mixtures1 is currently under great investigation.
Alain Karma, Pierre Pelcé
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Asymptotic dynamics in directional solidification
2008We study a strongly nonlinear equation describing the long-wave asymptotic behaviour of rapid directional solidification with weak convective coupling. Taking into account kinetic and disequilibrium effects in the basic equation, we are able to identify various nontrivial integrable subproblems that are absent in previous equations derived for this ...
Klaus Kassner, Philippe Metzener
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Erratum: Crystal Anisotropy Directs Solidification
Science, 1984In the credit for the photograph on page 1086 of the issue of 8 June accompanying the Research News article "Crystal anisotropy directs solidification" by Arthur L. Robinson (p. 1085), Kurt Nassau's affiliation is incorrectly given as Western Electric. Nassau is at AT&T Bell Laboratories, Murray Hill, New Jersey.
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Cellular Instabilities in Directional Solidification
1988The March 1987 Les Houches workshop on “Propagation in Systems far from Equilibrium” allowed us to compare the state of research in a number of different fields where instabilities occur. It appeared clearly that the field of solidification has been much less systematically explored than those, for example, of Rayleigh-Benard instabilities or ...
S. de Cheveigné, C. Guthmann
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Faceting in directional solidification
Physical Review A, 1991, Adda Bedia M, , Ben Amar M
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Phase dynamics in directional solidification
Physical Review Letters, 1990, Brattkus, , Misbah
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Absence of Selection in Directional Solidification
Physical Review Letters, 1988Ben Amar, Martine, Moussallam, B.
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