Potts models Monte Carlo simulations

Figure 34. Inverse effective correlation length of the anisotropic-planar-rotor model (2.5) from Monte Carlo simulations in units of the lattice constant a = 4.26 A as a function of temperature the extrapolated transition temperature = 25.02 K as obtained independently from energy cumulants is marked by a dotted line. Solid lines correspond to a fit assuming the simple linear dependence (3.19) expected close to the transition for a first-order transition, while dashed lines assume the critical behavior of the three-state Potts model in two dimensions (3.20). (Adapted from Fig. 2 of Ref. 273.)...

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 ... 

In the Monte Carlo Potts model for simulating the sintering process of two-phase ceramic tool materials with pwres, the fine powders and pores are mapped onto a set of two-... 

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