Nucleation and crystal growth in binary systems / Alexandrov D.V. // Journal of Physics A: Mathematical and Theoretical. - 2014. - V. 47, l. 12.

ISSN:
17518113
Type:
Article
Abstract:
A time-dependent nucleation of spherical crystals accompanied by their growth in metastable binary melts at the intermediate stage of phase transitions is analyzed. Two integro-differential models of governing equations are solved analytically for size- and supercooling-dependent growth rates and different expressions for the nucleation frequency. Two important cases of the Weber-Volmer-Frenkel-Zel'dovich and Meirs nucleation kinetic mechanisms are considered. The first model of crystal growth without fluctuating rates is completely solved by means of the saddle-point method. The exact analytical solution of the second model, taking into account the presence of fluctuations in particle growth rates, is found in a parametric form. The present theory describing binary systems generalizes the theories describing single-component systems recently developed in the absence (Alexandrov and Malygin 2013 J. Phys. A: Math. Theor. 46 455101) and in the presence (Alexandrov and Malygin 2014 Modelling Simul. Mater. Sci. Eng. 22 015003) of fluctuations in crystal growth rates. © 2014 IOP Publishing Ltd.
Author keywords:
binary melts; crystal growth; nucleation
Index keywords:
нет данных
DOI:
10.1088/1751-8113/47/12/125102
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Art. No. 125102
Link https://www.scopus.com/inward/record.uri?eid=2-s2.0-84896370875&doi=10.1088%2f1751-8113%2f47%2f12%2f125102&partnerID=40&md5=ee0c27337e72501c0c7dc5efbf89d9aa
Affiliations Department of Mathematical Physics, Ural Federal University, Lenin ave. 51, Ekaterinburg 620000, Russian Federation
Author Keywords binary melts; crystal growth; nucleation
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Correspondence Address Alexandrov, D.V.; Department of Mathematical Physics, Ural Federal University, Lenin ave. 51, Ekaterinburg 620000, Russian Federation; email: dmitri.alexandrov@usu.ru
Publisher Institute of Physics Publishing
Language of Original Document English
Abbreviated Source Title J. Phys. Math. Theor.
Source Scopus