正方格子和Sierpinski地毯上断裂模型的比较

A Comparative Study of Critical Fracture Action on Square Lattice and Sierpinski Carpet

用实空间重整化群方法研究了正方格子和Sierpinski地毯上断裂模型的临界行为,得到相应的临界值和与长度有关的临界指数。不同格子上同种相变模型临值的大小决定于格子的内部联结方式,临界指数不同说明它们属于不同的普适类。

Study the critical fracture action of on square lattice and Sierpinski carpet by renormalization group approach.The thresholds and the critical exponents of correction length are obtained.The results shown：1.The critical value of one kind phase transition determined by link way of lattice inside only.2.Fracture problem on Sierpinski carpet belongs to different universal class from that on square lattice for different critical exponent.