Nucleation kinetics and crystal growth with fluctuating rates at the intermediate stage of phase transitions / Alexandrov D. V.,Malygin A. P. // MODELLING AND SIMULATION IN MATERIALS SCIENCE AND ENGINEERING. - 2014. - V. 22, l. 1.

ISSN/EISSN:

0965-0393 / 1361-651X

Type:

Article

Abstract:

Crystal growth kinetics accompanied by particle growth with fluctuating rates at the intermediate stage of phase transitions is analyzed theoretically. The integro-differential model of governing equations is solved analytically for size-independent growth rates and arbitrary dependences of the nucleation frequency on supercooling/supersaturation. Two important cases of Weber-Volmer-Frenkel-Zel'dovich and Mier nucleation kinetics are detailed. A Fokker-Plank type equation for the crystal-size density distribution function is solved explicitly.

Author keywords:

phase transitions; nucleation; crystal growth DIRECTIONAL SOLIDIFICATION; NONLINEAR EVOLUTION; 2-PHASE ZONE; SEPARATION; COLLOIDS

DOI:

10.1088/0965-0393/22/1/015003

Web of Science ID:

ISI:000330035800003

Соавторы в МНС:

Другие поля

Поле	Значение
Month	JAN
Publisher	IOP PUBLISHING LTD
Address	TEMPLE CIRCUS, TEMPLE WAY, BRISTOL BS1 6BE, ENGLAND
Language	English
Article-Number	015003
EISSN	1361-651X
Keywords-Plus	DIRECTIONAL SOLIDIFICATION; NONLINEAR EVOLUTION; 2-PHASE ZONE; SEPARATION; COLLOIDS
Research-Areas	Materials Science; Physics
Web-of-Science-Categories	Materials Science, Multidisciplinary; Physics, Applied
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]; Russian Foundation for Basic Research {[}11-01-00137, 12-01-97514, 13-01-96013-Ural, 13-08-96013-Ural]
Funding-Text	We are grateful for partial support from the Ministry of Education and Science of the Russian Federation within the framework of the Federal Target Program `Scientific and Academic-Teaching Staff of Innovative Russia' in 2009-2013 (contract No 14.A18.21.0858) and from the Russian Foundation for Basic Research (Project Nos 11-01-00137, 12-01-97514, 13-01-96013-Ural and 13-08-96013-Ural).
Number-of-Cited-References	30
Usage-Count-Since-2013	9
Journal-ISO	Model. Simul. Mater. Sci. Eng.
Doc-Delivery-Number	294HM