The kinetics of amorphization during ball milling is generally analyzed using two different
approaches: the classical Johnson-Mehl-Avrami-Kolmogorov (JMAK) theory and Delogu and Cocco’s
model for which a region deterministically transforms after it reaches a certain number of collisions.
The application of JMAK analysis to the latter model predicts Avrami exponents to be higher than
the experimental ones (typically close to one). We develop simulations based on the probabilistic
character of the nucleation phenomenon and concave growth of the amorphous phase in the core
of a nanocrystal. The predictions of our simulations are in good agreement with the low Avrami
exponents and with the size evolution of the remaining crystallites found experimentally. From these
values, the parameters involved in the simulated model (growth rate and probability of nucleation)
can be estimated.AEI/FEDER-UE (Project MAT-2016-77265-R)Junta de Andalucía (Grupo PAI