On the Aboav–Weaire-law for junction limited grain growth in two dimensions

In the present work the validity of the Aboav–Weaire-relation in polycrystalline grain microstructures obtained by junction limited grain growth as it may occur in nanocrystalline materials is tested. To that aim, two-dimensional Monte Carlo Potts model simulations have been performed, and it follows that while the kinetics as well as the grain size–topology–relationship shows significant differences for grain boundary controlled grain growth and triple junction controlled growth, the Aboav–Weaire-relation is fulfilled independent of the grain feature controlling the growth kinetics.