Wang–Landau study of the 2d random-bond Blume–Capel model

A. Malakis, A. Nihat Berker, I. A. Hadjiagapiou, Nikolaos G. Fytas

Research output: Contribution to journalArticle

7 Downloads (Pure)


We study, via a two-stage Wang–Landau (WL) strategy, the random-bond version of the square lattice ferromagnetic Blume–Capel (BC) model, in both the first- and second-order phase transition regimes of the pure model. The second-order phase transition, emerging under random bonds from the second-order regime of the pure model, has the same values of critical exponents as the 2d Ising universality class, with the effect of the bond disorder on the specific heat being well described by double-logarithmic corrections. On the other hand, the second-order transition, emerging under bond randomness from the first-order regime of the pure model, has a distinctive universality class with v=1.30(6) and β/v=0.128(5). These results amount to a strong violation of universality principle of critical phenomena, since these two second-order transitions, with different sets of critical exponents, are between the same ferromagnetic and paramagnetic phases. Furthermore, the latter of these two sets of results supports an extensive but weak universality, since it has the same magnetic critical exponent (but a different thermal critical exponent) as a wide variety of 2d systems with and without quenched disorder.
Original languageEnglish
Pages (from-to)1443–1446
JournalPhysics Procedia
Issue number3
Publication statusPublished - 12 Feb 2010

Bibliographical note

Under a Creative Commons license


Dive into the research topics of 'Wang–Landau study of the 2d random-bond Blume–Capel model'. Together they form a unique fingerprint.

Cite this