Universality aspects of the 2d random-bond Ising and 3d Blume-Capel models
- Author(s)
- Nikolaos G. Fytas, Panagiotis E. Theodorakis
- 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.
- Organisation(s)
- Computational and Soft Matter Physics
- External organisation(s)
- Universidad Complutense de Madrid
- Journal
- European Physical Journal B
- Volume
- 86
- No. of pages
- 10
- ISSN
- 1434-6028
- DOI
- https://doi.org/10.1140/epjb/e2012-30705-x
- Publication date
- 02-2013
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 103036 Theoretical physics
- Keywords
- Portal url
- https://ucrisportal.univie.ac.at/en/publications/07a9ca08-a875-493f-b15f-351940f90203