We used the large-g Potts model on a two-dimensional lattice to study the evolution of the disordered cluster developed from a perfect hexagonal lattice with a single defect. The distribution functions were not stable, while the average area and the number of grains in the cluster grew linearly in time. However, the grains at the boundary of the cluster formed a well defined region which reache...

In this paper a statistical model of grain size distribution is proposed. It is su¢ ciently simple to be studied analytically. The resulting grain size distribution does not contain …tting parameters and describes reasonably well the experimental data. The statistical model is based on the suggested in the paper tessellation condition, the necessary and su¢ cient condition for a set of grains t...

The Potts model of grain growth was adapted for the purpose of simulating abnormal grain growth (AGG) resulting from grain boundary complexion transitions. The transition in grain boundary structure between specific complexion types results in changes in properties. Where the transitions decrease energy and increase the mobility of boundaries, AGG occurs provided that such transitions predomina...