An efficient Monte Carlo Potts method for the grain growth simulation of single-phase systems

Noureddine Maazi, Balahouane Lezzar

Laboratoire Microstructures et défauts dans les Matériaux (LMDM), Département de Physique, Faculté des Sciences Exactes, Université Mentouri Constantine 1, Algeria.



The choice of the lattice sites to be reoriented in the Monte Carlo Potts algorithm for grain growth simulation is repeated in a non-homogeneous way. Therefore, some grains are favorably growing than others. This fact may seriously affect the simulation results. So a modified MC method is presented. Lattice sites are selected for reorientation one by one following their positions in the matrix in each Monte Carlo step (mcs). This approach ensures that the various selections of one lattice site within every mcs are eliminated, and no favorable growth of grains at the expense of others. The calculation time considerably decreases. The effect of real-time and physical temperature on the grain growth kinetics is discussed.

Cite as:

Maazi, N., & Lezzar, B. (2020). An efficient Monte Carlo Potts method for the grain growth simulation of single-phase systems. Computer Methods in Materials Science, 20(3), 85–94.

Article (PDF):


Alloys, Crystal growth, Monte Carlo simulation, Microstructure


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