Transient nucleation kinetics of crystal growth at the intermediate stage of bulk phase transitions / Alexandrov D. V.,Malygin A. P. // JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. - 2013. - V. 46, l. 45.

ISSN/EISSN:

1751-8113 / 1751-8121

Type:

Article

Abstract:

A complete analytical solution of an integro-differential model describing the transient nucleation of solid particles and their subsequent growth at the intermediate stage of phase transitions in metastable systems is constructed. A Fokker-Plank type equation for the density distribution function is solved exactly for arbitrary nucleation kinetics. A non-linear integral equation with memory kernel connecting the density distribution function and the system supercooling/supersaturation is analytically solved on the basis of the saddle-point method for the Laplace integral. The analytical solution obtained shows that the process at the intermediate stage is divided into three phases: initially the high rate nucleation stage occurs, then this process is accompanied by the particle growth reducing the level of metastability, and finally the mechanism of particle coarsening becomes predominant.

Author keywords:

POPULATION BALANCE MODEL; BATCH CRYSTALLIZATION; NONLINEAR EVOLUTION; SOLIDIFICATION; GRANULATION; MELTS; ZONE; SIZE

DOI:

10.1088/1751-8113/46/45/455101

Web of Science ID:

ISI:000326381700005

Соавторы в МНС:

Другие поля

Поле	Значение
Month	NOV 15
Publisher	IOP PUBLISHING LTD
Address	TEMPLE CIRCUS, TEMPLE WAY, BRISTOL BS1 6BE, ENGLAND
Language	English
Article-Number	455101
EISSN	1751-8121
Keywords-Plus	POPULATION BALANCE MODEL; BATCH CRYSTALLIZATION; NONLINEAR EVOLUTION; SOLIDIFICATION; GRANULATION; MELTS; ZONE; SIZE
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	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	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) is acknowledged.
Number-of-Cited-References	54
Usage-Count-Since-2013	9
Journal-ISO	J. Phys. A-Math. Theor.
Doc-Delivery-Number	244IP