On the theory of transient nucleation at the intermediate stage of phase transitions / Alexandrov D. V. // PHYSICS LETTERS A. - 2014. - V. 378, l. 21. - P. 1501-1504.

ISSN/EISSN:

0375-9601 / 1873-2429

Type:

Article

Abstract:

The evolution of a system of growing aggregates in a macroscopically homogeneous medium with account of both the reduction in metastability and the continuing initiation of new nuclei is studied. The corresponding integro-differential model describing the intermediate stage of phase transitions is solved analytically for arbitrary nucleation kinetics and growth rates of nuclei. An exact solution of the Fokker-Planck equation is found with allowance for the diffusivity along the axis of nucleus radii. In limiting cases of purely kinetic and mixed kinetic-diffusion rates of crystal growth for a special form of diffusivity, the obtained solutions transform to earlier known expressions. (C) 2014 Elsevier B.V. All rights reserved.

Author keywords:

Phase transitions; Nucleation; Kinetics; Crystal growth BATCH CRYSTALLIZATION; NONLINEAR EVOLUTION; KINETICS; GROWTH

DOI:

10.1016/j.physleta.2014.03.051

Web of Science ID:

ISI:000336345100010

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	APR 11
Publisher	ELSEVIER SCIENCE BV
Address	PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
Language	English
EISSN	1873-2429
Keywords-Plus	BATCH CRYSTALLIZATION; NONLINEAR EVOLUTION; KINETICS; GROWTH
Research-Areas	Physics
Web-of-Science-Categories	Physics, Multidisciplinary
Author-Email	dmitri.alexandrov@usu.ru
ResearcherID-Numbers	Alexandrov, Dmitri/D-2516-2016
ORCID-Numbers	Alexandrov, Dmitri/0000-0002-6628-745X
Funding-Acknowledgement	Russian Science Foundation {[}14-12-00090]
Funding-Text	This work was supported by the Russian Science Foundation under project 14-12-00090.
Number-of-Cited-References	25
Usage-Count-Since-2013	5
Journal-ISO	Phys. Lett. A
Doc-Delivery-Number	AH7WC