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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.)... 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. [Pg.152]

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 ... [Pg.153]

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-... [Pg.154]


See other pages where Potts models Monte Carlo simulations is mentioned: [Pg.51]    [Pg.147]    [Pg.614]    [Pg.110]    [Pg.270]    [Pg.151]    [Pg.152]    [Pg.154]   
See also in sourсe #XX -- [ Pg.513 , Pg.514 ]




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