Potts model on directed small-world Voronoi–Delaunay lattices

R.M. Marques, F.W.S. Lima and Raimundo N. Costa Filho

Physica A: Statistical Mechanics and its Applications, 2016, vol. 451, issue C, 295-304

Abstract: The critical properties of the Potts model with q=3 and 4 states in two-dimensions on directed small-world Voronoi–Delaunay random lattices with quenched connectivity disorder are investigated. This disordered system is simulated by applying the Monte Carlo update heat bath algorithm. The Potts model on these directed small-world random lattices presents in fact a second-order phase transition with new critical exponents for q=3 and value of the rewiring probability p=0.01, but for q=4 the system exhibits only a first-order phase transition independent of p (0Keywords: Potts model; Random systems; Voronoi–Delaunay lattices (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:451:y:2016:i:c:p:295-304

DOI: 10.1016/j.physa.2016.01.067

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