Kinetic Phase Transitions Of The Dimer-Dimer Model In Complex Networks

This thesis studies the kinetic phase transition problems of the dimmer-dimmer model in complex networks. It can be divided into three parts. The first chapter introduces the related theory and the Monte-Carlo method, briefly; the second chapter introduces the complex networks; the third chapter is about the kinetic phase transition problems of the dimmer-dimmer model in complex networks.The first chapter introduces the phase transition theory and Monte-Carlo method. More specifically, the phase, the classification of phase transition, the order parameter, the critical exponent of thermodynamic functions, correlation functions and the scaling law have been introduced. Furthermore, a outline of the basic theory of Monte-Carlo method have been presented, including the generation of random numbers and the apply of Monte-Carlo method in statistical physics.The second chapter introduces the basic theory of the complex networks, including the topological structures of complex networks and the characteristics of the small world network.The third chapter studies the kinetic phase transition problems of the dimmer-dimmer model in complex networks by Monte-Carlo method. This chapter mainly consist of the following four parts:(1) the influence of the proportion of the inert-sites on the kinetic phase transition.(2) the influence of the B2 desorption rate on the kinetic phase transition in the case that there are no inert-sites.(3) the influence of the B2 desorption rate on the kinetic phase transition in the case that there are some inert-sites.(4) the influence of the rewiring probability on the kinetic phase transition. The results show that the B2 desorption rate, the proportion of the inert-sites and the rewiring probability of the network all have considerable influence on the kinetics phase transition in the dimmer-dimmer model.