A class of nucleation and growth models of a stable phase is investigated for various different growth velocities. It is shown that for growth velocities vs(t)/t and vx/τ(x), where s(t) and τ are the mean domain size of the metastable phase (M-phase) and the mean nucleation time, respectively, the M-phase decays following a power law. Furthermore, snapshots at different time t that are taken to collect data for the distribution function c(x,t) of the domain size x of the M-phase are found to obey dynamic scaling. Using the idea of data-collapse, we show that each snapshot is a self-similar fractal. However, for v=const., such as in the classical Kolmogorov–Johnson–Mehl–Avrami model, and for v1/t, the decays of the M-phase are exponential and they are not accompanied by dynamic scaling. We find a perfect agreement between numerical simulation and analytical results.

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