Article,

The ferromagnetic Ising model on a Voronoi-Delaunay lattice

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PHYSICA A, 283 (1-2): 100-106 (2000)VIth Latin American Workshop on Nonlinear Phenomena LAWNP'99/XIIth MEDYFINOL Conference on Statistical Physics of Dynamic and Complex Systems, CORDOBE, ARGENTINA, OCT 12-16, 1999.
DOI: 10.1016/S0378-4371(00)00134-5

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) proportional to e(-alpha r), with alpha greater than or equal to 0. The disordered system is simulated applying the single-cluster Monte Carlo update algorithm and the reweighting technique. We calculate the critical point exponents gamma/nu, beta/nu and nu for this model and find that this random system belongs to the same universality class as the pure two-dimensional ferromagnetic Ising model. (C) 2000 Elsevier Science B.V. All rights reserved.

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