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Majority-vote model on a dynamic small-world network

Author

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  • Stone, Thomas E.
  • McKay, Susan R.

Abstract

Dynamic small-world networks combine short-range interactions within a fixed neighborhood with stochastic long-range interactions. The probability of a long-range link occurring instead of a short-range one is a measure of the mobility of a population. Here, the critical properties of the majority-vote model with noise on a two-dimensional dynamic small-world lattice are investigated via Monte Carlo simulation and finite size scaling analyses. We construct the order–disorder phase diagram and find the critical exponents associated with the continuous phase transition. Findings are consistent with previous results indicating that a model’s transitions on static and dynamic small-world networks are in the same universality class.

Suggested Citation

  • Stone, Thomas E. & McKay, Susan R., 2015. "Majority-vote model on a dynamic small-world network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 419(C), pages 437-443.
    • Handle: RePEc:eee:phsmap:v:419:y:2015:i:c:p:437-443
    DOI: 10.1016/j.physa.2014.10.032
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    Cited by:

    1. Tian, Ru-Ya & Wu, Lei & Liang, Xiao-He & Zhang, Xue-Fu, 2018. "Opinion data mining based on DNA method and ORA software," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 1471-1480.

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