A nonextensive statistical approach to the kinetics of phase transformation

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dc.contributor.authorKayacan O.
dc.contributor.authorCetinel H.
dc.date.accessioned2024-07-22T08:24:02Z
dc.date.available2024-07-22T08:24:02Z
dc.date.issued2005
dc.description.abstractSome limitations of Johnson-Mehl-Avrami-Kolmogorov (JMAK) equation, which is used widely for describing kinetics of phase transformation, were demonstrated using probabilistic analysis and Monte Carlo simulations [Acta Mater. 48 (2000) 4217]. As well-known, JMAK equation predicts correctly the real transformed fraction only if the number of the growing nuclei in the controlled volume is large. However JMAK equation seems to fail, if the number of growing nuclei is small, no matter how large the volume of the controlled volume is. In this study, we propose a different equation for describing kinetics of phase transformation, using a nonextensive formalism, namely Tsallis thermostatistics which has been commonly employed to study the various physical systems for a decade. © 2004 Elsevier B.V. All rights reserved.
dc.identifier.DOI-ID10.1016/j.physa.2004.09.044
dc.identifier.issn03784371
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/19779
dc.language.isoEnglish
dc.subjectComputer simulation
dc.subjectDifferential equations
dc.subjectMicrostructure
dc.subjectMonte Carlo methods
dc.subjectNucleation
dc.subjectProbability distributions
dc.subjectTopology
dc.subjectVolume fraction
dc.subjectFictive phase transformation
dc.subjectJohnson-Mehl-Avrami-Kolmogorov (JMAK)
dc.subjectKinetics
dc.subjectTsallis thermostatics
dc.subjectPhase transitions
dc.titleA nonextensive statistical approach to the kinetics of phase transformation
dc.typeArticle

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