Nucleation kinetics and crystal growth with fluctuating rates at the intermediate stage of phase transitions / Alexandrov D.V., Malygin A.P. // Modelling and Simulation in Materials Science and Engineering. - 2014. - V. 22, l. 1.

ISSN:
09650393
Type:
Article
Abstract:
Crystal growth kinetics accompanied by particle growth with fluctuating rates at the intermediate stage of phase transitions is analyzed theoretically. The integro-differential model of governing equations is solved analytically for size-independent growth rates and arbitrary dependences of the nucleation frequency on supercooling/supersaturation. Two important cases of Weber-Volmer-Frenkel-Zel'dovich and Mier nucleation kinetics are detailed. A Fokker-Plank type equation for the crystal-size density distribution function is solved explicitly. © 2014 IOP Publishing Ltd.
Author keywords:
crystal growth; nucleation; phase transitions
Index keywords:
Crystal-size; Density distribution functions; Governing equations; Intermediate stage; Nucleation frequencies; Nucleation kinetics; Particle growth; Crystal growth; Kinetics; Phase transitions; Nuclea
DOI:
10.1088/0965-0393/22/1/015003
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https://www.scopus.com/inward/record.uri?eid=2-s2.0-84891480773&doi=10.1088%2f0965-0393%2f22%2f1%2f015003&partnerID=40&md5=1b7bfd956be206d623135ade7a7f018f
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Art. No. 015003
Link https://www.scopus.com/inward/record.uri?eid=2-s2.0-84891480773&doi=10.1088%2f0965-0393%2f22%2f1%2f015003&partnerID=40&md5=1b7bfd956be206d623135ade7a7f018f
Affiliations Department of Mathematical Physics, Ural Federal University, Lenin ave., 51, Ekaterinburg, 620000, Russian Federation
Author Keywords crystal growth; nucleation; phase transitions
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Correspondence Address Department of Mathematical Physics, Ural Federal University, Lenin ave., 51, Ekaterinburg, 620000, Russian Federation
CODEN MSMEE
Language of Original Document English
Abbreviated Source Title Modell Simul Mater Sci Eng
Source Scopus