Nucleation and particle growth with fluctuating rates at the intermediate stage of phase transitions in metastable systems / Alexandrov D. V.,Nizovtseva I. G. // PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES. - 2014. - V. 470, l. 2162.

ISSN/EISSN:

1364-5021 / 1471-2946

Type:

Article

Abstract:

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.

Author keywords:

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

DOI:

10.1098/rspa.2013.0647

Web of Science ID:

ISI:000332393700014

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	FEB 8
Publisher	ROYAL SOC
Address	6-9 CARLTON HOUSE TERRACE, LONDON SW1Y 5AG, ENGLAND
Language	English
Article-Number	20130647
EISSN	1471-2946
Keywords-Plus	CRYSTAL-GROWTH; NONLINEAR EVOLUTION; KINETICS; CRYSTALLIZATION; SOLIDIFICATION
Research-Areas	Science \& Technology - Other Topics
Web-of-Science-Categories	Multidisciplinary Sciences
Author-Email	dmitri.alexandrov@usu.ru
ResearcherID-Numbers	Alexandrov, Dmitri/D-2516-2016
ORCID-Numbers	Alexandrov, Dmitri/0000-0002-6628-745X
Funding-Acknowledgement	Ministry of Education and Science of the Russian Federation {[}14.A18.21.0858, 14.A18.21.1126]; Russian Foundation for Basic Research {[}11-01-00137, 13-01-96013-Ural, 13-08-96013-Ural]
Funding-Text	Partial support from the Ministry of Education and Science of the Russian Federation (projects nos. 14.A18.21.0858 and 14.A18.21.1126) and from the Russian Foundation for Basic Research (grants nos. 11-01-00137, 13-01-96013-Ural and 13-08-96013-Ural) is acknowledged.
Number-of-Cited-References	39
Usage-Count-Last-180-days	1
Usage-Count-Since-2013	10
Journal-ISO	Proc. R. Soc. A-Math. Phys. Eng. Sci.
Doc-Delivery-Number	AC3CX