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

Abstract

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 $q\le 4$ and a first-order phase transition is present for q>4.

5 pages, 8 figures. arXiv admin note: text overlap with arXiv:1001.1848

References in corpus (5)

• Synchronization in complex networks
• Critical phenomena in complex networks
• Tactical Voting in Plurality Elections
• q-state Potts model on the Apollonian network
• Blume-Capel model on directed and undirected Small-World Voronoi-Delaunay random lattices

Cited by in corpus (1)

• Three-state Potts model on Non-local Directed Small-World Lattices