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 time-dependent grain-size distribution function and grain autocorrelation function, (r,t), are calculated exactly for d=1. For d=2, (r,t) is estimated by Monte Carlo simulation. Scaling relations, (r,t)=F(r/R(t)), using forms for F(x) which are exact for t→0 are investigated. It is found that while such scaling relations are no longer exact in late stages of growth, they continue to provide accurate simple approximations.
- Received 21 March 1986
DOI:https://doi.org/10.1103/PhysRevB.34.1599
©1986 American Physical Society