Abstract
The kinetics of grain growth associated with a first-order phase transformation is studied with use
of the Kolmogorov model (constant nucleation rate within the metastable phase; constant growth
rate of the nucleated grains) in one and two dimensions (d =1 and 2). The tine-dependent grain-
function and grain autocorrelation function, G, (r, t), are calculated exactly for
d = 1. For d = 2, G, (r, t) is estimated by Monte Carlo simulation.
Scaling relations,
G, (r, t)=F(r/R(t)), using forms for I'(x) which are exact for t~o are investigated. It is found
that while such scaling relations are no longer exact in late stages of growth, they continue to pro-
vide accurate simple approximations.
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