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SIMULATION OF MAJORITY RULE DISTURBED BY POWER-LAW NOISE ON DIRECTED AND UNDIRECTED BARABÁSI–ALBERT NETWORKS

F. W. S. Lima ()
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F. W. S. Lima: Departamento de Física, Universidade Federal do Piauí, 64049-550, Teresina, PI, Brazil

International Journal of Modern Physics C (IJMPC), 2008, vol. 19, issue 07, 1063-1067

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.

Keywords: Monte Carlo simulation; spins; networks; Ising (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1142/S0129183108012686

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