Dynamics of the phase transition boundary in the presence of nucleation and growth of crystals / Alexandrov D. V. // JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. - 2017. - V. 50, l. 34.

ISSN/EISSN:

1751-8113 / 1751-8121

Type:

Article

Abstract:

Nucleation and growth of crystals in a moving metastable layer of phase transition is analyzed theoretically. The integro-differential equations for the density distribution function and system metastability are solved analytically on the basis of a previously developed approach (Alexandrov and Malygin 2013 J. Phys. A: Math. Theor. 46 455101) in cases of the kinetic and diffusionally controlled regimes of crystal growth. The Weber-Volmer-Frenkel-Zel'dovich and Meirs nucleation kinetics are considered. It is shown that the phase transition boundary propagates with time as alpha root t + epsilon Z(1) (t),where Z(1)(t) = beta t(7/ 2) and Z(1)(t) = beta t(2) in cases of kinetic and diffusionally controlled growth regimes. The growth rate constants alpha and beta as well as parameter epsilon are found analytically. The phase transition boundary in the presence of particle nucleation and growth moves slower than in cases without nucleation.

Author keywords:

phase transition; crystal growth; nucleation EARTHS INNER-CORE; MUSHY LAYER; NONLINEAR DYNAMICS; DIRECTIONAL SOLIDIFICATION; BINARY MELT; INTERMEDIATE STAGE; COOLED BOUNDARY; 2-PHASE ZONE; EVOLUTION; KINETICS

DOI:

10.1088/1751-8121/aa7ab0

Web of Science ID:

ISI:000406384800001

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	AUG 25
Publisher	IOP PUBLISHING LTD
Address	TEMPLE CIRCUS, TEMPLE WAY, BRISTOL BS1 6BE, ENGLAND
Language	English
Article-Number	345101
EISSN	1751-8121
Keywords-Plus	EARTHS INNER-CORE; MUSHY LAYER; NONLINEAR DYNAMICS; DIRECTIONAL SOLIDIFICATION; BINARY MELT; INTERMEDIATE STAGE; COOLED BOUNDARY; 2-PHASE ZONE; EVOLUTION; KINETICS
Research-Areas	Physics
Web-of-Science-Categories	Physics, Multidisciplinary; Physics, Mathematical
Author-Email	dmitri.alexandrov@urfu.ru
Funding-Acknowledgement	Russian Foundation for Basic Research {[}16-08-00932]
Funding-Text	This work was supported by the Russian Foundation for Basic Research (grant no. 16-08-00932).
Number-of-Cited-References	45
Usage-Count-Last-180-days	2
Usage-Count-Since-2013	2
Journal-ISO	J. Phys. A-Math. Theor.
Doc-Delivery-Number	FB8JH