In their pioneer work Johnson-Mehl, Avrami and Kolmogorov (JMAK) developed well-known analytical expressions to describe the transformation kinetics of nucleation and growth transformations. Their work and its subsequent development has been extensively applied by Vandermeer and coworkers to recrystallisation studies. With the help of methods from Stochastic Geometry it has been possible to generalise JMAK's equations to situations well beyond their original assumptions. Although the motivation for this paper was recrystallisation the expressions derived here may be applied to nucleation and growth reactions in general.
On the generalisation of JMAK's theory / P.R. Rios, E. Villa - In: Recrystallization and Grain Growth V / [a cura di] Matthew Barnett. - [s.l] : Trans Tech Publications, 2013. - ISBN 978-303785-688-8. - pp. 137-142 (( Intervento presentato al 5. convegno International Conference on Recrystallization and Grain Growth tenutosi a Sydney, NSW; Australia nel 2013 [10.4028/www.scientific.net/MSF.753.137].
On the generalisation of JMAK's theory
E. VillaUltimo
2013
Abstract
In their pioneer work Johnson-Mehl, Avrami and Kolmogorov (JMAK) developed well-known analytical expressions to describe the transformation kinetics of nucleation and growth transformations. Their work and its subsequent development has been extensively applied by Vandermeer and coworkers to recrystallisation studies. With the help of methods from Stochastic Geometry it has been possible to generalise JMAK's equations to situations well beyond their original assumptions. Although the motivation for this paper was recrystallisation the expressions derived here may be applied to nucleation and growth reactions in general.
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