Nucleation and growth of crystals at the intermediate stage of phase transformations in binary melts

被引：57
|
作者：
Alexandrov, D. V. [1 ]
机构：
[1] Ural Fed Univ, Dept Math Phys, Ekaterinburg 620000, Russia
来源：
PHILOSOPHICAL MAGAZINE LETTERS | 2014年 / 94卷 / 12期
基金：
俄罗斯基础研究基金会;
关键词：
nucleation; binary melts; kinetics; NONLINEAR EVOLUTION; KINETICS; CRYSTALLIZATION;
D O I：
10.1080/09500839.2014.977975
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
An exact analytical solution of integro-differential equations, which describe the phase transitions in supercooled binary melts, is constructed with allowance for fluctuating rates of crystal growth. A complete solution of the corresponding Fokker-Planck and balance equations is found for arbitrary nucleation kinetics and growth rates of crystals. In limiting cases, the obtained solutions transform to earlier known solutions for a special form of diffusivity in the space of crystal sizes and purely kinetic and "diffusion-kinetic" growth rates of nuclei.
引用
收藏
页码：786 / 793
页数：8
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