DENDRITIC GROWTH-RATE AT ARBITRARY UNDERCOOLING

被引:32
作者
BENAMAR, M
机构
[1] Laboratoire de Physique Statistique de l'Ecole Normale Supérieure, 75231 Paris Cedex 05
来源
PHYSICAL REVIEW A | 1990年 / 41卷 / 04期
关键词
D O I
10.1103/PhysRevA.41.2080
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We study the growth rate of a dendritic crystal in two and three dimensions in the symmetric model of solidification. We clarify the question of the variation of the stability constant with the Péclet number in the regime of moderate to large values. A careful WKB treatment shows that the eigenvalues selected by anisotropy of surface tension are strongly Péclet-number dependent in contradiction with some earlier treatments. We also perform a numerical analysis of this problem and our results are compared with recent experimental data. © 1990 The American Physical Society.
引用
收藏
页码:2080 / 2092
页数:13
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