Potts model on directed small-world Voronoi–Delaunay lattices

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 (0

Keywords:

• Delaunay triangulation
• Condensed matter physics
• Combinatorics
• Potts model
• Chiral Potts curve
• Mathematics
• Phase transition
• Lattice (order)
• Critical exponent
• Monte Carlo method
• Voronoi diagram

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