Model for faceting in a kinetically controlled crystal growth

被引：61

作者：

Golovin, AA

Davis, SH

Nepomnyashchy, AA

机构：

[1] Northwestern Univ, Dept Engn Sci & Appl Math, Evanston, IL 60208 USA

[2] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

[3] Technion Israel Inst Technol, Ctr Nonlinear Phys Complex Syst, IL-32000 Haifa, Israel

来源：

PHYSICAL REVIEW E | 1999年 / 59卷 / 01期

关键词：

D O I：

10.1103/PhysRevE.59.803

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

A two-dimensional anisotropic nonlinear evolution equation is derived to model the formation of facets and corners in the course of kinetically controlled crystal growth. The equation is solved numerically in particular cases corresponding to the faceting of [001], [111], and [110] growing crystal surfaces, and the formation of hill-and-valley structures in the form of square, triangular, and rhombic pyramids; grooves are observed as well. The pyramidal slopes far from the vertices are found analytically, and in particular cases exact solutions of the equation are found. The pyramidal structures coarsen in time, and the rate of coarsening is studied. [S1063-651X(99)07401-2].

引用

页码：803 / 825

页数：23

共 53 条

[21]

Oxford University Press

[22] Mechanisms of surface faceting and coarsening [J].