CHAOTIC STEP BUNCHING DURING CRYSTAL-GROWTH

被引:8
作者
KANDEL, D
WEEKS, JD
机构
[1] Institute for Physical Science and Technology, University of Maryland, College Park
来源
PHYSICA D | 1993年 / 66卷 / 1-2期
基金
美国国家科学基金会;
关键词
D O I
10.1016/0167-2789(93)90226-Q
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study a simple model for step bunching during crystal growth by propagating a disturbance into an unstable system of equidistant steps. The system exhibits a wide range of different bunching modes as a function of the initial step spacing, leading to distinctive spatial patterns: periodic (with subharmonic bifurcations), chaotic and intermittent. Linear and nonlinear marginal stability theory gives extremely accurate predictions of the velocity of the propagating front. One of the bifurcations is identified as a transition from a regime where linear marginal stability applies to a nonlinear marginal stability regime. The location of this bifurcation is determined accurately.
引用
收藏
页码:78 / 86
页数:9
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