Monte Carlo study of the triangular Blume-Capel model under bond randomness

Autor(en)

Panagiotis Theodorakis, Nikolaos G. Fytas

Abstrakt

The effects of bond randomness on the universality aspects of a two-dimensional (d = 2) Blume-Capel model embedded in the triangular lattice are discussed. The system is studied numerically in both its first-and second-order phase-transition regimes by a comprehensive finite-size scaling analysis for a particularly suitable value of the disorder strength. We find that our data for the second-order phase transition, emerging under random bonds from the second-order regime of the pure model, are compatible with the universality class of the two-dimensional (2D) random Ising model. Furthermore, we find evidence that, the second-order transition emerging under bond randomness from the first-order regime of the pure model, belongs again to the same universality class. Although the first finding reinforces the scenario of strong universality in the 2D Ising model with quenched disorder, the second is in difference from the critical behavior, emerging under randomness, in the cases of the ex-first-order transitions of the Potts model. Finally, our results verify previous renormalization-group calculations on the Blume-Capel model with disorder in the crystal-field coupling.

Organisation(en)

Computergestützte Physik und Physik der Weichen Materie

Externe Organisation(en)

Universidad Complutense De Madrid

Journal

Physical Review E

Band

86

Anzahl der Seiten

9

ISSN

1539-3755

DOI

https://doi.org/10.1103/PhysRevE.86.011140

Publikationsdatum

2012

Peer-reviewed

Ja

ÖFOS 2012

103002 Akustik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/109a010e-1116-4036-ad63-8a9651593e96