距离依赖的复杂网络上的Ising模型相变

PHASE TRANSITION IN ISING MODEL ON COMPLEX NETWORKS WITH A RANGE-DEPENDENT CONNECTION PROBABILITY

用蒙特卡罗方法研究了距离依赖的复杂网络上Ising模型相变.通过对临界指数β和γ的分析得出网络上的Ising模型的临界行为与网络的几何结构有着复杂的依赖关系.

The phase transions in Ising model on a special kind of complex networks with a rangedependent connection probability are studied by using Monte Carlo method. The critical exponentsβ and γ are calculated for networks with different topologies. Our results show that the dependence of the exponents upon the geometric properties of the background networks is complex.