ISING MODEL SPINS = 1ON 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, 1267-1272

Abstract: On directed Barabási–Albert networks with two and seven neighbours selected by each added site, the Ising model with spinS = 1/2was 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 Ising model spinS = 1is now studied through Monte Carlo simulations. However, in this model, the order-disorder phase transition is well defined in this system. We have obtained a first-order phase transition for values of connectivitym = 2andm = 7of the directed Barabási–Albert network.

Keywords: Monte Carlo simulation; Ising model; networks; desorden (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1142/S0129183106009679

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