Grain size distribution obtained from Monte Carlo simulation and the analytical mean field model

Abstract

The grain growth process in two dimensions was simulated by Monte Carlo Potts method. The observed quasi stationary state grain size distribution could well be fitted by the Weibull function. It can also be approximated by an analytical distribution with ν smaller than 4, rather than the Hillert distribution (v=4). Our results suggest that here the microstructure would not evolve to the Hillert distribution but to the Weibull function or the analytical distribution with v<4. It is also shown that the Weibull function is a better approximation to the quasi stationary state grain size distribution in present work.