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

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
4 pages, 5 figures

Keywords

Disordered Systems and Neural Networks, Statistical Mechanics

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/26864

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0509303
 http://arxiv.org/abs/cond-mat/0509303

Collections

arXiv