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Damage spreading in the majority-vote model on small-world networks

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  • Medeiros, Nazareno G.F.
  • Silva, Ana T.C.
  • Brady Moreira, F.G.

Abstract

We use the damage spreading technique to study the dynamical phase diagram and critical behavior of the isotropic majority-vote model on small-world networks generated by rewiring two-dimensional square lattices. The phase diagram exhibits a chaotic-frozen phase transition at a critical noise parameter qc(p) which is a monotonically increasing function of the probability p of having long-range interactions. For the correlation length critical exponent, we obtain the mean-field value ν=12, for all systems with p>0, whereas the exponent ratio β/ν and the dynamical critical exponent z are both dependent on the fraction of shortcuts introduced in the system.

Suggested Citation

  • Medeiros, Nazareno G.F. & Silva, Ana T.C. & Brady Moreira, F.G., 2005. "Damage spreading in the majority-vote model on small-world networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 348(C), pages 691-700.
    • Handle: RePEc:eee:phsmap:v:348:y:2005:i:c:p:691-700
    DOI: 10.1016/j.physa.2004.10.004
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