Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 387, Issue 7, Pages 1545-1550Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physa.2007.10.073
Keywords
ferromagnetic Ising model; random lattices; Monte Carlo methods; critical exponents
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The single-cluster Monte Carlo algorithm and the reweighting technique are used to simulate the 3D ferromagnetic Ising model on 3D Voronoi-Delauney lattices. It is assumed that the coupling factor J varies with the distance r between the first neighbors as J(r) alpha e(-ar), with a >= 0. The critical exponents gamma/nu, beta/nu, and nu are calculated, and according to the present estimates for the critical exponents, we argue that this random system belongs to the same universality class of the pure 3D ferromagnetic Ising model. (c) 2007 Elsevier B.V. All rights reserved.
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