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Chinese Physics, 2002, Vol. 11(12): 1280-1285    DOI: 10.1088/1009-1963/11/12/312
CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES Prev   Next  

Social influence in small-world networks

Sun Kai (孙锴), Mao Xiao-Ming (毛晓明), Ouyang Qi (欧阳颀)
Department of Physics, Mesoscopic physics Laboratory, Peking University, Beijing 100871, China
Abstract  We report on our numerical studies of the Axelrod model for social influence in small-world networks. Our simulation results show that the topology of the network has a crucial effect on the evolution of cultures. As the randomness of the network increases, the system undergoes a transition from a highly fragmented phase to a uniform phase. We also find that the power-law distribution at the transition point, reported by Castellano et al, is not a critical phenomenon; it exists not only at the onset of transition but also for almost any control parameters. All these power-law distributions are stable against perturbations. A mean-field theory is developed to explain these phenomena.
Keywords:  social systems      phase transition      self-organization  
Received:  03 April 2002      Revised:  12 July 2002      Accepted manuscript online: 
PACS:  89.75.Hc (Networks and genealogical trees)  
  89.75.Fb (Structures and organization in complex systems)  
  05.40.-a (Fluctuation phenomena, random processes, noise, and Brownian motion)  
  05.90.+m (Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No 19725519) and Chun-Tsung Foundation of Peking University.

Cite this article: 

Sun Kai (孙锴), Mao Xiao-Ming (毛晓明), Ouyang Qi (欧阳颀) Social influence in small-world networks 2002 Chinese Physics 11 1280

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