中文摘要：

2007年MacPherson和Srolovitz联合推导出一个三维个体晶粒长大的准确速率方程，但并未给出实验或计算机仿真的验证．采用Ports模型MonteCarlo方法对该速率方程进行了大尺度仿真验证．结果表明，仿真数据与MacPherson-Srolovitz速率方程符合很好，从而初步证实了该速率方程，即三维晶粒长大速率是晶粒棱长和晶粒平均宽度的函数．

英文摘要：

MacPherson-Smlovitz＇s three-dimensional grain growth rate equation propesed recently by MacPherson and Srolovitz indicates that the change rate of grain volume depends on the mean width of grains and the total length of the triple lines. This rate equation is studied by large-scale Potts model-Monte Carlo simulation in this paper. The result shows that the data of averaged grain growth rate fit the MacPherson-Srolovitz＇ s three-dimensional grain growth rate equation very well, thereby this rate equation is preliminary verified.