Topology of grain microstructures in two dimensions: a comparison of grain boundary and triple junction controlled grain growth

摘要

The topology of polycrystalline grain microstructures is compared for the cases of normal, boundary controlled grain growth and triple junction controlled grain growth as it may occur in nanocrystalline materials. To this end, Monte Carlo Potts model simulations have been performed in two dimensions. Independent of the microstructural feature (respectively, its mobility controlling the evolution) growth regimes with topological self-similarity can be observed. In particular, it is found that each growth regime is characterized by its own distinct topology, enabling a deduction of the associated growth kinetics. The results are in very good agreement with theoretical predictions and computer simulations found in the literature.