NUCLEATION AND GROWTH IN SYSTEMS WITH MANY STABLE PHASES

被引：26

作者：

ANDRIENKO, YA ^{[1
]}

BRILLIANTOV, NV ^{[1
]}

KRAPIVSKY, PL ^{[1
]}

机构：

[1] ACAD SCI USSR, CENT AEROHYDRODYNAM INST, ZHUKOVSKY 140160, USSR

来源：

PHYSICAL REVIEW A | 1992年 / 45卷 / 04期

关键词：

D O I：

10.1103/PhysRevA.45.2263

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We study the kinetics of nucleation and growth in systems with an arbitrary number of distinct stable phases for both homogeneous and heterogeneous nucleation. Exact solutions for the phase transformation kinetics in one dimension are obtained and compared with the mean-field results. We have observed anomalous power-law asymptotics for both homogeneous and heterogeneous nucleation in one dimension, while the mean-field theory predicts exponential asymptotic behavior for large times. Numerical simulations for 2d systems show that the mean-field theory is surprisingly accurate. Some properties of the spatial patterns at the final stage of nucleation and growth are elucidated.

引用

页码：2263 / 2269

页数：7

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