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

F. W. S. Lima; U. M. S. Costa; R. N. Costa Filho

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

F. W. S. Lima·U. M. S. Costa·R. N. Costa Filho

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Abstract

The single-cluster Monte Carlo algorithm and the reweighting technique are used to simulate the 3D-ferromagnetic Ising model on three dimensional Voronoi-Delaunay lattices. It is assumed that the coupling factor $J$ varies with the distance $r$ between the first neighbors as $J(r) \propto e^{-ar}$, with $a \ge 0$. 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 three-dimensional ferromegnetic Ising model.

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F. W. S. Lima, U. M. S. Costa, R. N. Costa Filho. 2005-09-12. Critical behavior of the 3D-Ising model on a poissonian random lattice. https://arxiv.org/abs/cond-mat/0509303

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