@article{3059356,
    title = "Universality aspects of the 2d random-bond Ising and 3d Blume-Capel models",
    author = "Fytas, N.G. and Theodorakis, P.E.",
    journal = "The European Physical Journal B - Condensed Matter",
    year = "2013",
    volume = "86",
    number = "2",
    issn = "1434-6028, 1434-6036",
    doi = "10.1140/epjb/e2012-30705-x",
    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",
    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."
}