Phase Transitions Of The Anisotropic Ashkin-Teller Model On Complex Networks

In this thesis, the phase transitions of the anisotropic 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 anisotropic Ashkin-Teller model for the ferromagnetic case on a one-dimensional adding-type small world network, and got several varieties of phase diagrams for the different K_σK_s and additional probability p . It is found that each of the several varieties of phase diagrams, on the plane of ( K₄ K_s ,1K_s), for the anisotropic Ashkin-Teller model, consists of four phases, i.e., a) the fully disordered paramagnetic phase Para, in which...