Universality aspects of the 2d random-bond Ising and 3d Blume-Capel models

Nikolaos G. Fytas, P. E. Theodorakis

Research output: Contribution to journalArticle

6 Citations (Scopus)

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.
Original languageEnglish
JournalThe European Physical Journal B
Volume86
Issue number30
DOIs
Publication statusPublished - 31 Jan 2013

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Ising model
crystal field theory
scaling
Crystals
simulation
energy
Monte Carlo simulation

Bibliographical note

The full text is currently unavailable on the repository.

Keywords

  • Statistical and Nonlinear Physics

Cite this

Universality aspects of the 2d random-bond Ising and 3d Blume-Capel models. / Fytas, Nikolaos G.; Theodorakis, P. E.

In: The European Physical Journal B, Vol. 86, No. 30, 31.01.2013.

Research output: Contribution to journalArticle

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