中国物理B ›› 2012, Vol. 21 ›› Issue (4): 48902-048902.doi: 10.1088/1674-1056/21/4/048902

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刘真真,王兴元,王茂基   

  • 收稿日期:2011-11-25 修回日期:2011-12-14 出版日期:2012-02-29 发布日期:2012-02-29
  • 通讯作者: 刘真真,zhzhenliu@gmail.com E-mail:zhzhenliu@gmail.com

Competition between two kinds of information among random-walking individuals

Liu Zhen-Zhen(刘真真), Wang Xing-Yuan(王兴元), and Wang Mao-Ji(王茂基)   

  1. School of Electronic and Information Engineering, Dalian University of Technology, Dalian 116024, China
  • Received:2011-11-25 Revised:2011-12-14 Online:2012-02-29 Published:2012-02-29
  • Contact: Liu Zhen-Zhen,zhzhenliu@gmail.com E-mail:zhzhenliu@gmail.com
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 61173183, 60973152, and 60573172), the Superior University Doctor Subject Special Scientific Research Foundation of China (Grant No. 20070141014), and the Natural Science Foundation of Liaoning Province of China (Grant No. 20082165).

Abstract: A model is proposed to describe the competition between two kinds of information among N random-walking individuals in an L$\times$L square, starting from a half-and-half mixture of two kinds of information. Individuals remain or change their information according to their neighbors' information. When the moving speed of individuals v is zero, the two kinds of information typically coexist, and the ratio between them increases with L and decreases with N. In the dynamic case (v>0), only one information eventually remains, and the time required for one information being left scales as Tdv$\alpha$LβN$\gamma$.

Key words: information spread, random walk, complex networks, power law

中图分类号:  (Complex systems)

  • 89.75.-k
87.23.Ge (Dynamics of social systems) 64.60.aq (Networks)