EQUILIBRIUM SHAPES OF CRYSTALS ATTACHED TO WALLS

被引：17

作者：

KOTECKY, R

PFISTER, CE

机构：

[1] CHARLES UNIV,DEPT THEORET PHYS,CS-18000 PRAGUE 8,CZECH REPUBLIC

[2] EPFL,DEPT MATH,CH-1015 LAUSANNE,SWITZERLAND

来源：

JOURNAL OF STATISTICAL PHYSICS | 1994年 / 76卷 / 1-2期

关键词：

WULFF CONSTRUCTION; EQUILIBRIUM CRYSTAL SHAPES; WINTERBOTTOM CONSTRUCTION;

D O I：

10.1007/BF02188669

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We discuss equilibrium shapes of crystals attached to walls. Optimal shapes for different configurations of walls are found and the minimality of the overall surface tension is proven with the help of a simple geometrical argument based on the isoperimetric inequality and monotonicity. Stability results in the form of Bonnesen inequalities are obtained in the two-dimensional case.

引用

页码：419 / 445

页数：27

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