Effect of discretization and finite nuclei radius on Kolmogorov-Johnson-Mehl-Avrami isothermal kinetics: A 2-dimensional study

作者: I. Sinha , R. K. Mandal

DOI: 10.1007/S12666-008-0009-2

关键词: Discrete time and continuous timeDiscretizationStatistical physicsIsothermal processExponentTransformation (function)RadiusMaterials scienceIsothermal transformation diagramPhase (waves)Thermodynamics

摘要: The Kolmogorov-Johnson-Mehl-Avrami (KJMA) isothermal phase transformation kinetics theory assumes negligible volume of the nucleus. For systems with nano-sized grain formation, initial introduction finite radius product nuclei has special relevance. value time exponent deviates from ideal KJMA prediction for such cases. Discrete models may be advanced explaining deviation. main limitation an approach is discrete step used. We have recently studied these aspects in a systematic way help adaptation model. assumed to polymorphic and interface controlled. In this paper we present studies on 2-dimensional (2D) systems.

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