Potts model with q=4,6, and 8 states on Voronoi–Delaunay random lattice

F.W.S. Lima

Physica A: Statistical Mechanics and its Applications, 2010, vol. 389, issue 16, 3039-3047

Abstract: Through Monte Carlo simulations we study the 2D Potts models with q=4,6 and 8 states on Voronoi–Delaunay random lattice. In this study, we assume that the coupling factor J varies with the distance r between the first neighbors as J(r)∝e−ar, with a≥0. The disordered system is simulated by applying the single-cluster Monte Carlo update algorithm and the reweighting technique. In this model both second-order and first-order phase transitions are present depending on q values and a parameter. The critical exponents’ ratios β/ν,γ/ν, and 1/ν were calculated for the case where the second-order phase transitions are present. In the Potts model with q=8 we also studied the distribution of cluster sizes.

Keywords: Monte Carlo simulation; Spins; Networks; Ising; Potts (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:389:y:2010:i:16:p:3039-3047

DOI: 10.1016/j.physa.2010.03.029

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