Grain Size Distribution And Topological Evolution in 2D Grain Growth Process Based on Phase Field Simulation
相场仿真二维晶粒长大过程中的尺寸分布和拓扑演变

The quasi--steady state grain size distribution in the 2D grain growth process obtained by phase field method can be described well either by Weibull function or Louat distribution function, since the plots of two functions are exactly the same or very similar to each other under certain conditions. The grain side number distribution also achieves self--similarity or the quasi--steady state finally, however, it approaches a lognormal distribution instead. The relationship between the average number of grain sides and grain size appears to be nonlinear. These results agree well not only with those of high purity Al foil but also those obtained from our Monte Carlo simulation.