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Critical Behavior Ising Model S = 1, 3/2 and 2 on Directed Networks

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image of Multidiscipline Modeling in Materials and Structures

Using Monte Carlo simulations we study the Ising model with spin S = 1, 3/2 and 2 on directed Barabási-Albert and small-world networks. In this model, the order-disorder phase transition of the order parameter is well defined on small-world networks. We calculate the value of the critical temperature Tc for several values of rewiring probability p of the directed small-world network. For directed small-world networks we obtained a second-order phase transition for p = 0.2 and first-order phase transition for p = 0.8. On directed Barabási-Albert we show that phase transition do not exist for Ising model with spin S = 1, 3/2 and 2.

Affiliations: 1: Departamento de Física, Universidade Federal do Piauí, 64049-550, Teresina PI, Brazil; 2: Departamento de Física, Universidade Estadual do Piauí, 64002-150, Teresina PI, Brazil; 3: Department of Physics and Astronomy, University of Western Ontario, London, Ontario, Canada N6A 3K7


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