Tsallis Mapping in Growing Complex Networks with Fitness  

作　　者：苏桂锋 张小兵 张一 

机构地区：[1]Department of Physics,Shanghai Normal University [2]School of Physics,Nankai University

出　　处：《Communications in Theoretical Physics》2012年第3期493-498,共6页理论物理通讯（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant No. 10875058;the Initiative Plan of Shanghai Education Committee under Grant No. 10YZ76;the Scientific Research Foundation for the Returned Overseas Chinese Scholars,State Education Ministry (SRF for ROCS,SEM)

摘　　要：We introduce Tsallis mapping in Bianconi-Barabgsi （B-B） fitness model of growing networks. This mapping addresses the dynamical behavior of the fitness model within the framework of nonextensive statistics mechanics, which is characterized by a dimensionless nonextensivity parameter q. It is found that this new phenomenological parameter plays an important role in the evolution of networks： the underlying evolving networks may undergo a different phases depending on the q exponents, comparing to the original B-B fitness model, and the corresponding critical transition temperature Tc is also identified.

关 键 词：growing complex network fitness model Tsallis statistics critical transition 

分 类 号：O414.2[理学—理论物理] O157.5[理学—物理]