Analytical Results of Phase Transitions Behaviors in Internet traffic on Complex Network

A considerable amount of research has been carried out on studying the phase transition phenomenon in the complex network, however, the effective quantitative characterization has yet to be developed. The paper provides some analytical results for description on the behaviors of traffic flow in the mode of complex. Results indicate that the traffic exhibits nontrivial the phase transition behaviors that the total number, the average delay of packets and throughput of system distinctly fluctuates when the flow load is closed to the critical point. Analytical results accord well with the previous conclusions by means of simulation.