Thursday, July 19, 2012

1207.4430 (P. R. O. da Silva et al.)

Potts model with q=3 and 4 states on directed Small-World network    [PDF]

P. R. O. da Silva, F. W. S. Lima, R. N. Costa Filho
Monte Carlo simulations are performed to study the two-dimensional Potts models with q=3 and 4 states on directed Small-World network. The disordered system is simulated applying the Heat bath Monte Carlo update algorithm. A first-order and second-order phase transition is found for q=3 depending on the rewiring probability $p$, but for q=4 the system presents only a first-order phase transition for any value $p$ . This critical behavior is different from the Potts model on a square lattice, where the second-order phase transition is present for $q\le4$ and a first-order phase transition is present for q>4.
View original: http://arxiv.org/abs/1207.4430

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