Nucleation and growth of crystals at the intermediate stage of phase transformations in binary melts / Alexandrov D.V. // Philosophical Magazine Letters. - 2014. - V. 94, l. 12. - P. 786-793.

ISSN:

09500839

Type:

Article

Abstract:

An exact analytical solution of integro-differential equations, which describe the phase transitions in supercooled binary melts, is constructed with allowance for fluctuating rates of crystal growth. A complete solution of the corresponding Fokker-Planck and balance equations is found for arbitrary nucleation kinetics and growth rates of crystals. In limiting cases, the obtained solutions transform to earlier known solutions for a special form of diffusivity in the space of crystal sizes and purely kinetic and "diffusion-kinetic" growth rates of nuclei. © 2014 © 2014 Taylor & Francis.

Author keywords:

binary melts; kinetics; nucleation

Index keywords:

Differential equations; Enzyme kinetics; Integrodifferential equations; Kinetics; Nucleation; Balance equations; Binary melt; Complete solutions; Exact analytical solutions; Intermediate stage; Limiti

DOI:

10.1080/09500839.2014.977975

Смотреть в Scopus:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-84919484819&doi=10.1080%2f09500839.2014.977975&partnerID=40&md5=984b36521090d3d8a7c107c39866b5d6

Соавторы в МНС:

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Другие поля

Поле	Значение
Link	https://www.scopus.com/inward/record.uri?eid=2-s2.0-84919484819&doi=10.1080%2f09500839.2014.977975&partnerID=40&md5=984b36521090d3d8a7c107c39866b5d6
Affiliations	Department of Mathematical Physics, Ural Federal University, Ekaterinburg, Russian Federation
Author Keywords	binary melts; kinetics; nucleation
Funding Details	RFBR, Russian Foundation for Basic Research; Russian Foundation for Basic Research
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Correspondence Address	Alexandrov, D.V.; Department of Mathematical Physics, Ural Federal UniversityRussian Federation
Publisher	Taylor and Francis Ltd.
CODEN	PMLEE
Language of Original Document	English
Abbreviated Source Title	Philos Mag Lett
Source	Scopus