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Simulation Of Majority Rule Disturbed By Power-Law Noise On Directed And Undirected Barabási–Albert Networks

Author

Listed:
  • F. W. S. LIMA

    (Departamento de Física, Universidade Federal do Piauí, 64049-550, Teresina, PI, Brazil)

Abstract

OndirectedandundirectedBarabási–Albert networks the Ising model with spinS = 1/2in the presence of a kind of noise is now studied through Monte Carlo simulations. The noise spectrumP(n)follows a power law, whereP(n)is the probability of flipping randomly selectnspins at each time step. The noise spectrumP(n)is introduced to mimic the self-organized criticality as a model influence of a complex environment. In this model, different from the square lattice, the order-disorder phase transition of the order parameter is not observed. FordirectedBarabási–Albert networks the magnetisation tends to zero exponentially andundirectedBarabási–Albert networks remain constant.

Suggested Citation

  • F. W. S. Lima, 2008. "Simulation Of Majority Rule Disturbed By Power-Law Noise On Directed And Undirected Barabási–Albert Networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 19(07), pages 1063-1067.
    • Handle: RePEc:wsi:ijmpcx:v:19:y:2008:i:07:n:s0129183108012686
    DOI: 10.1142/S0129183108012686
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