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The European Physical Journal B

, Volume 65, Issue 2, pp 251–255 | Cite as

Opinion dynamics on directed small-world networks

  • L. -L. JiangEmail author
  • D. -Y. Hua
  • J. -F. Zhu
  • B. -H. Wang
  • T. Zhou
Statistical and Nonlinear Physics

Abstract

In this paper, we investigate the self-affirmation effect on formation of public opinion in a directed small-world social network. The system presents a non-equilibrium phase transition from a consensus state to a disordered state with coexistence of opinions. The dynamical behaviors are very sensitive to the density of long-range-directed interactions and the strength of self-affirmation. When the long-range-directed interactions are sparse and individual generally does not insist on his/her opinion, the system will display a continuous phase transition, in the opposite case with strong self-affirmation and dense long-range-directed interactions, the system does not display a phase transition. Between those two extreme cases, the system undergoes a discontinuous phase transition.

PACS

89.75.-k Complex systems 89.65.-s Social and economic systems 05.70.Fh Phase transitions: general studies 05.50.+q Lattice theory and statistics (Ising, Potts, etc.) 

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Copyright information

© Springer 2008

Authors and Affiliations

  • L. -L. Jiang
    • 1
    Email author
  • D. -Y. Hua
    • 2
  • J. -F. Zhu
    • 1
  • B. -H. Wang
    • 1
  • T. Zhou
    • 1
    • 3
  1. 1.Department of Modern PhysicsUniversity of Science and Technology of ChinaHefeiP.R. China
  2. 2.Department of PhysicsNingbo UniversityNingbo ZhejiangP.R. China
  3. 3.Department of PhysicsUniversity of FribourgFribourgSwitzerland

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