The ferromagnetic Ising model on a Voronoi–Delaunay lattice

F.W.s Lima, J.e Moreira, J.s Andrade and U.M.s Costa

Physica A: Statistical Mechanics and its Applications, 2000, vol. 283, issue 1, 100-106

Abstract: We investigate the two-dimensional ferromagnetic Ising model in the Voronoi–Delaunay tesselation. In this study, we assume that the coupling factor J varies with the distance r between the first neighbors as J(r)∝e−αr, with α⩾0. The disordered system is simulated applying the single-cluster Monte Carlo update algorithm and the reweighting technique. We calculate the critical point exponents γ/ν,β/ν and ν for this model and find that this random system belongs to the same universality class as the pure two-dimensional ferromagnetic Ising model.

Keywords: Ising model; Ferromagnetism; Random lattices; Phase transition (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:283:y:2000:i:1:p:100-106

DOI: 10.1016/S0378-4371(00)00134-5

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