Grain growth Potts model

This equation resembles the well-known Potts model for normal grain growth, but deals only with adatoms arriving at the surface and choosing their host grain. In the mean-field approximation, the corresponding equation for size distribution has the following form ... 

In this paper, the new Monte Carlo Potts model for simulating the sintering process of single- and two-phase ceramic materials is developed and the two-dimensional (2D) grain-growth process is successfully simulated with considering the presence of pores in the green compact. A detailed description of the new Monte Carlo Potts model and simulation procedure is presented. The simulation results are also discussed. 

The two-dimension Monte Carlo Potts simulation model utilizes two different approaches to simulate the grain growth and annihilation of pore (Braginsky et al, 2005). It can model the following processes ... 

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