2D grain growth

For 2D grain growth, kinetic models generally predict a parabolic growth law of the form [13]... 

An analogous law is not available for 3D grain growth. As with 2D grain growth, however, 3D grain growth usually proceeds sublinearly with time. 

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. 

Di Nunzio [42] recently proposed one more approach to the kinetics of grain growth taking pair interactions into account and using a more complicated interrelation between sizes and curvatures. We implemented his algorithm (as we understood it from [42]) and repeated the same results for the case of 2D growth with absent... 

Figure 11. Growth rate of the basal plane (diffusion-controlled) and the prismatic planes (interface-controlled) as a function of oversaturation in the oxinitride liquid. The oversaturation after the a/P-transformation depends on the surface energy (a), the grain thickness (2D) and the length of the needle like grains (2L).

The lateral dimensions of the crystalline grains forming the passive films on nickel are relatively well documented. Values determined from the morphology observed by STM and AFM (Figure 5.64) have been reported to range from 2 nm in the initial stages of 2D growth... 

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