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

页码：786 / 793

页数：8

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