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
收藏
页码：493 / 498
页数：6
相关论文
共 50 条
  • [1] Tsallis Mapping in Growing Complex Networks with Fitness
    苏桂锋
    张小兵
    张一
    [J]. Communications in Theoretical Physics, 2012, 57 (03) : 493 - 498
  • [2] Complex growing networks with intrinsic vertex fitness
    Bedogne, C.
    Rodgers, G. J.
    [J]. PHYSICAL REVIEW E, 2006, 74 (04):
  • [3] A κ-deformed model of growing complex networks with fitness
    Stella, Massimo
    Brede, Markus
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2014, 407 : 360 - 368
  • [4] Tsallis information dimension of complex networks
    Zhang, Qi
    Luo, Chuanhai
    Li, Meizhu
    Deng, Yong
    Mahadevan, Sankaran
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2015, 419 : 707 - 717
  • [5] Joint estimation of preferential attachment and node fitness in growing complex networks
    Thong Pham
    Paul Sheridan
    Hidetoshi Shimodaira
    [J]. Scientific Reports, 6
  • [6] Joint estimation of preferential attachment and node fitness in growing complex networks
    Thong Pham
    Sheridan, Paul
    Shimodaira, Hidetoshi
    [J]. SCIENTIFIC REPORTS, 2016, 6
  • [7] Growing random networks with fitness
    Ergün, G
    Rodgers, GJ
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2002, 303 (1-2) : 261 - 272
  • [8] On the construction of complex networks with optimal Tsallis entropy
    Ochiai, T.
    Nacher, J. C.
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2009, 388 (23) : 4887 - 4892
  • [9] Two-parameter fractional Tsallis information dimensions of complex networks
    Ramirez-Arellano, Aldo
    Manuel Hernandez-Simon, Luis
    Bory-Reyes, Juan
    [J]. CHAOS SOLITONS & FRACTALS, 2021, 150
  • [10] Dynamics of condensation in growing complex networks
    Ferretti, Luca
    Bianconi, Ginestra
    [J]. PHYSICAL REVIEW E, 2008, 78 (05)
12345