Fluctuations in the phase-field model of solidification

被引：17
|
作者：
Pavlik, SG [1 ]
Sekerka, RF [1 ]
机构：
[1] Carnegie Mellon Univ, Dept Phys, Pittsburgh, PA 15213 USA
来源：
PHYSICA A | 2000年 / 277卷 / 3-4期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1016/S0378-4371(99)00382-9
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We develop two analytical solutions for thermodynamic fluctuations that are present in the phase-field model of solidification. One solution deals with fluctuations in an isothermal single phase system. The other deals with fluctuations in a two-phase isothermal system having a planar diffuse interface. Explicit formulae are obtained in one, two and three dimensions. In the case of two-phase system, fluctuations of the phase field are somewhat suppressed in the interface region. These solutions provide targets for testing numerical solutions. (C) 2000 Published by Elsevier Science B.V. All rights reserved.
引用
收藏
页码：415 / 431
页数：17
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