Phase Transitons Of Ashkin-Teller Model On Complex Networks

In this thesis, the phase transitions of the isotropic Ashkin-Teller model on the complex networks are studied by using Monte Carlo simulations. And the main results are as follows:(1)We studied the phase transitions of the isotropic Ashkin-Teller model for the ferromagnetic case on a one-dimensional adding-type small world network, and got three varieties of phase diagrams for different additional probability p . It is found that each of the three varieties of phase diagrams, for the isotropic Ashkin-Teller model, consists of three phases, i.e., the fully ordered ferromagnetic phase( < s>≠0,<σ>≠0, <σs>≠0,but...