Title:
Universality aspects of the 2d random-bond Ising and 3d Blume-Capel models
Languages of Item:
English
Abstract:
We report on large-scale Wang-Landau Monte Carlo simulations of the critical behavior of two spin models in two- (2d) and three-dimensions (3d), namely the 2d random-bond Ising model and the pure 3d Blume-Capel model at zero crystal-field coupling. The numerical data we obtain and the relevant finite-size scaling analysis provide clear answers regarding the universality aspects of both models. In particular, for the random-bond case of the 2d Ising model the theoretically predicted strong universality's hypothesis is verified, whereas for the second-order regime of the Blume-Capel model, the expected d = 3 Ising universality is verified. Our study is facilitated by the combined use of the Wang-Landau algorithm and the critical energy subspace scheme, indicating that the proposed scheme is able to provide accurate results on the critical behavior of complex spin systems. © 2013 EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg.
Authors:
Fytas, N.G.
Theodorakis, P.E.
Journal:
The European Physical Journal B - Condensed Matter
Keywords:
2D Ising model; Blume-Capel models; Critical behavior; Critical energy; Finite-size scaling analysis; Monte Carlo simulations; Statistical and Nonlinear Physics; Wang-Landau algorithm, Ising model; Monte Carlo methods; Three dimensional computer graphics, Three dimensional
Official URL (Publisher):
DOI:
10.1140/epjb/e2012-30705-x
