Tsallis Mapping in Growing Complex Networks with Fitness

被引：2

作者：

Su Gui-Feng ^{[1
]}

Zhang Xiao-Bing ^{[2
]}

Zhang Yi ^{[1
]}

机构：

[1] Shanghai Normal Univ, Dept Phys, Shanghai 200230, Peoples R China

[2] Nankai Univ, Sch Phys, Tianjin 300371, Peoples R China

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2012年 / 57卷 / 03期

基金：

中国国家自然科学基金;

关键词：

growing complex network; fitness model; Tsallis statistics; critical transition; STATISTICAL-MECHANICS; DYNAMICS; CONDENSATION; MODEL;

D O I：

10.1088/0253-6102/57/3/26

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We introduce Tsallis mapping in Bianconi-Barabasi (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 T-C is also identified.

引用

页码：493 / 498

页数：6

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