Beyond the constraints underlying Kolmogorov-Johnson-Mehl-Avrami theory related to the growth laws

Abstract

The theory of Kolmogorov-Johnson-Mehl-Avrami (KJMA) for phase transition kinetics is subjected to severe limitations concerning the functional form of the growth law. This paper is devoted to side step this drawback through the use of correlation function approach. Moreover, we put forward an easy-to-handle formula, written in terms of the experimentally accessible actual extended volume fraction, which is found to match several types of growths. Computer simulations have been done for corroborating the theoretical approach.

18 pages ;11 figures

References in corpus (2)

• Time-evolution of grain size distributions in random nucleation and growth crystallization processes
• Cell size distribution in a random tessellation of space governed by the Kolmogorov-Johnson-Mehl-Avrami model: Grain size distribution in crystallization

Cited by in corpus (4)

• Cosmological phase transitions: from perturbative particle physics to gravitational waves
• Mixing Bandt-Pompe and Lempel-Ziv approaches: another way to analyze the complexity of continuous-states sequences
• Equilibrium Fluid-Crystal Interfacial Free Energy of Bcc-Crystallizing Aqueous Suspensions of Polydisperse Charged Spheres
• Kinetics of phase transformations with heterogeneous correlated-nucleation