Critical behavior of the 3D Ising model on a poissonian random lattice

F.W.S. Lima, U.M.S. Costa and R.N. Costa Filho

Physica A: Statistical Mechanics and its Applications, 2008, vol. 387, issue 7, 1545-1550

Abstract: 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)∝e−ar, with a≥0. The critical exponents γ/ν, β/ν, and ν 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.

Keywords: Ferromagnetic Ising model; Random lattices; Monte Carlo methods; Critical exponents (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:387:y:2008:i:7:p:1545-1550

DOI: 10.1016/j.physa.2007.10.073

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