Nucleation and crystal growth in binary systems / Alexandrov D. V. // JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. - 2014. - V. 47, l. 12.

ISSN/EISSN:

1751-8113 / 1751-8121

Type:

Article

Abstract:

A time-dependent nucleation of spherical crystals accompanied by their growth in metastable binary melts at the intermediate stage of phase transitions is analyzed. Two integro-differential models of governing equations are solved analytically for size-and supercooling-dependent growth rates and different expressions for the nucleation frequency. Two important cases of the Weber-Volmer-Frenkel-Zel'dovich and Meirs nucleation kinetic mechanisms are considered. The first model of crystal growth without fluctuating rates is completely solved by means of the saddle-point method. The exact analytical solution of the second model, taking into account the presence of fluctuations in particle growth rates, is found in a parametric form. The present theory describing binary systems generalizes the theories describing single-component systems recently developed in the absence (Alexandrov and Malygin 2013 J. Phys. A: Math. Theor. 46 455101) and in the presence (Alexandrov and Malygin 2014 Modelling Simul. Mater. Sci. Eng. 22 015003) of fluctuations in crystal growth rates.

Author keywords:

crystal growth; nucleation; binary melts MORPHOLOGICAL INSTABILITY; UNSTEADY PROCESSES; 2-PHASE ZONE; SOLIDIFICATION; CRYSTALLIZATION; FLUCTUATIONS; MELTS

DOI:

10.1088/1751-8113/47/12/125102

Web of Science ID:

ISI:000332844600005

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	MAR 28
Publisher	IOP PUBLISHING LTD
Address	TEMPLE CIRCUS, TEMPLE WAY, BRISTOL BS1 6BE, ENGLAND
Language	English
Article-Number	125102
EISSN	1751-8121
Keywords-Plus	MORPHOLOGICAL INSTABILITY; UNSTEADY PROCESSES; 2-PHASE ZONE; SOLIDIFICATION; CRYSTALLIZATION; FLUCTUATIONS; MELTS
Research-Areas	Physics
Web-of-Science-Categories	Physics, Multidisciplinary; Physics, Mathematical
Author-Email	dmitri.alexandrov@usu.ru
ResearcherID-Numbers	Alexandrov, Dmitri/D-2516-2016
ORCID-Numbers	Alexandrov, Dmitri/0000-0002-6628-745X
Funding-Acknowledgement	Russian Foundation for Basic Research {[}13-01-96013-ural]; Government of the Russian Federation {[}02.A03.21.0006, 211]
Funding-Text	This work was supported by the Russian Foundation for Basic Research under grant 13-01-96013-ural and the Government of the Russian Federation under grant 02.A03.21.0006 (act no 211).
Number-of-Cited-References	30
Usage-Count-Last-180-days	2
Usage-Count-Since-2013	11
Journal-ISO	J. Phys. A-Math. Theor.
Doc-Delivery-Number	AC9HH