Wang-Landau study of the 3D Ising model with bond disorder

P. E. Theodorakis, Nikolaos G. Fytas

Research output: Contribution to journalArticle

9 Citations (Scopus)


We implement a two-stage approach of the Wang-Landau algorithm to investigate the critical properties of the 3D Ising model with quenched bond randomness. In particular, we consider the case where disorder couples to the nearest-neighbor ferromagnetic interaction, in terms of a bimodal distribution of strong versus weak bonds. Our simulations are carried out for large ensembles of disorder realizations and lattices with linear sizes L in the range L=8−64L=8−64. We apply well-established finite-size scaling techniques and concepts from the scaling theory of disordered systems to describe the nature of the phase transition of the disordered model, departing gradually from the fixed point of the pure system. Our analysis (based on the determination of the critical exponents) shows that the 3D random-bond Ising model belongs to the same universality class with the site- and bond-dilution models, providing a single universality class for the 3D Ising model with these three types of quenched uncorrelated disorder.
Original languageEnglish
Pages (from-to)245-251
JournalThe European Physical Journal B
Issue number2
Publication statusPublished - 2011

Bibliographical note

The full text is not available on the repository


Dive into the research topics of 'Wang-Landau study of the 3D Ising model with bond disorder'. Together they form a unique fingerprint.

Cite this