A Potts model for junction limited grain growth

In this paper an approach modifying the standard Monte Carlo Potts model algorithm is presented. It is revealed that modifications of the mobility of grain boundaries and their associated boundary junctions allow the simulation of the size effect observed in nanocrystalline grain growth. In large parameter variation studies of two and three dimensional grain growth different metrical and geometrical properties are considered. For initially very small grains growth kinetics are observed that are quite different compared to parabolic normal grain growth behaviour. Each of the different growth kinetics are found to be associated with an own distinct grain size distribution.

► Standard MC Potts model is modified by a limited grain boundary junction mobility.
► New linear resp. exponential self-similar growth kinetics is observed.
► New growth regimes are coupled with exceptional high number of small grains.
► Results in agreement with theoretical predictions and experimental findings.