Universality aspects of the d = 3 random-bond Blume-Capel model
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Malakis-2012-Universality aspects of the.pdf
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Author(s)
Malakis, A.
Berker, A. Nihat
Fytas, N. G.
Papakonstantinou, T.
Date Issued
June 2012
Journal
Physical Review E
Publisher
American Physical Society
Citation
Malakis, A. et al. “Universality Aspects of the D=3 Random-bond Blume-Capel Model.” Physical Review E 85.6 (2012). ©2012 American Physical Society
Version
Final published version
Abstract
The effects of bond randomness on the universality aspects of the simple cubic lattice ferromagnetic Blume-Capel model are discussed. The system is studied numerically in both its first- and second-order phase transition regimes by a comprehensive finite-size scaling analysis. 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 3d 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 to a new and distinctive universality class. The first finding reinforces the scenario of a single universality class for the 3d Ising model with the three well-known types of quenched uncorrelated disorder (bond randomness, site and bond dilution). The second amounts to a strong violation of the universality principle of critical phenomena. For this case of the ex-first-order 3d Blume-Capel model, we find sharp differences from the critical behaviors, emerging under randomness, in the cases of the ex-first-order transitions of the corresponding weak and strong first-order transitions in the 3d three-state and four-state Potts models.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevE.85.061106
