Phase transition and hysteresis in scale-free network traffic.
We model information traffic on scale-free networks by introducing the node queue length L proportional to the node degree and its delivering ability C proportional to L . The simulation gives the overall capacity of the traffic system, which is quantified by a phase transition from free flow to congestion. It is found that the maximal capacity of the system results from the case of the local routing coefficient phi slightly larger than zero, and we provide an analysis for the optimal value of phi. In addition, we report for the first time the fundamental diagram of flow against density, in which hysteresis is found, and thus we can classify the traffic flow with four states: free flow, saturated flow, bistable, and jammed.
Hu
Mao-Bin
MB
School of Engineering Science, University of Science and Technology of China, Hefei 230026, People's Republic of China. humaobin@ustc.edu.cn
Wang
Wen-Xu
WX
Jiang
Rui
R
Wu
Qing-Song
QS
Wu
Yong-Hong
YH