Nucleation and particle growth with fluctuating rates at the intermediate stage of phase transitions in metastable systems

被引：55

作者：

Alexandrov, D. V. ^{[1
]}

Nizovtseva, I. G. ^{[2
]}

机构：

[1] Ural Fed Univ, Dept Math Phys, Ekaterinburg 620000, Russia

[2] Inst Pierre Simon Laplace LSCE IPSL CEA, Lab Sci Climat & Environm, F-91191 Gif Sur Yvette, France

来源：

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2014年 / 470卷 / 2162期

基金：

俄罗斯基础研究基金会;

关键词：

phase transitions; crystal growth; nucleation; kinetics; CRYSTAL-GROWTH; NONLINEAR EVOLUTION; KINETICS; CRYSTALLIZATION; SOLIDIFICATION;

D O I：

10.1098/rspa.2013.0647

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

An exact analytical solution of an integro-differential model describing the transient nucleation of solid particles (nuclei) and their growth with fluctuating rates at the intermediate stage of bulk phase transitions in metastable systems is constructed. Two important cases of the Weber-Volmer-Frenkel-Zel'dovich and Mier nucleation kinetics are detailed for supercooled melts and supersaturated solutions.

引用

页数：10

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