Nucleation and growth of crystals at the intermediate stage of phase transformations in binary melts / Alexandrov D. V. // PHILOSOPHICAL MAGAZINE LETTERS. - 2014. - V. 94, l. 12. - P. 786-793.

ISSN/EISSN:

0950-0839 / 1362-3036

Type:

Article

Abstract:

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.

Author keywords:

nucleation; binary melts; kinetics NONLINEAR EVOLUTION; KINETICS; CRYSTALLIZATION

DOI:

10.1080/09500839.2014.977975

Web of Science ID:

ISI:000346358400006

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	DEC 2
Publisher	TAYLOR \& FRANCIS LTD
Address	4 PARK SQUARE, MILTON PARK, ABINGDON OX14 4RN, OXON, ENGLAND
Language	English
EISSN	1362-3036
Keywords-Plus	NONLINEAR EVOLUTION; KINETICS; CRYSTALLIZATION
Research-Areas	Materials Science; Metallurgy \& Metallurgical Engineering; Physics
Web-of-Science-Categories	Materials Science, Multidisciplinary; Metallurgy \& Metallurgical Engineering; Physics, Applied; Physics, Condensed Matter
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; Government of Sverdlovsk Region {[}13-01-96013-Ural]; Ministry of Education and Science of the Russian Federation {[}315, 02.A03.21.0006]
Funding-Text	This work was supported by the Russian Foundation for Basic Research and the Government of Sverdlovsk Region {[}grant number 13-01-96013-Ural] and by the Ministry of Education and Science of the Russian Federation {[}grant numbers 315 and 02.A03.21.0006].
Number-of-Cited-References	25
Usage-Count-Since-2013	3
Journal-ISO	Philos. Mag. Lett.
Doc-Delivery-Number	AW6DA