MAJORITY-VOTE ON DIRECTED BARABÁSI–ALBERT NETWORKS

F. W. S. Lima ()
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F. W. S. Lima: Departamento de Física, Universidade Federal do Piauí, 57072-970 Teresina - PI, Brazil

International Journal of Modern Physics C (IJMPC), 2006, vol. 17, issue 09, 1257-1265

Abstract: On directed Barabási–Albert networks with two and seven neighbours selected by each added site, the Ising model was seen not to show a spontaneous magnetisation. Instead, the decay time for flipping of the magnetisation followed an Arrhenius law for Metropolis and Glauber algorithms, but for Wolff cluster flipping the magnetisation decayed exponentially with time. On these networks the Majority-vote model with noise is now studied through Monte Carlo simulations. However, in this model, the order-disorder phase transition of the order parameter is well defined in this system. We calculate the value of the critical noise parameterqcfor several values of connectivityzof the directed Barabási–Albert network. The critical exponentes β/ν, γ/ν and 1/ν were calculated for several values ofz.

Keywords: Monte Carlo simulation; vote; networks; nonequilibrium (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1142/S0129183106008972

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