Universality aspects of the d = 3 random-bond Blume-Capel model
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...
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| Format: | Article |
| Language: | en_US |
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American Physical Society
2012
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| Online Access: | http://hdl.handle.net/1721.1/72355 https://orcid.org/0000-0002-5172-2172 |
| _version_ | 1811090812715401216 |
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| author | Malakis, A. Berker, A. Nihat Fytas, N. G. Papakonstantinou, T. |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Malakis, A. Berker, A. Nihat Fytas, N. G. Papakonstantinou, T. |
| author_sort | Malakis, A. |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T14:52:21Z |
| format | Article |
| id | mit-1721.1/72355 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T14:52:21Z |
| publishDate | 2012 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/723552022-10-01T23:02:42Z Universality aspects of the d = 3 random-bond Blume-Capel model Malakis, A. Berker, A. Nihat Fytas, N. G. Papakonstantinou, T. Massachusetts Institute of Technology. Department of Physics Berker, A. Nihat Berker, A. Nihat 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. 2012-08-27T19:53:08Z 2012-08-27T19:53:08Z 2012-06 2012-03 Article http://purl.org/eprint/type/JournalArticle 1539-3755 1550-2376 http://hdl.handle.net/1721.1/72355 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 https://orcid.org/0000-0002-5172-2172 en_US http://dx.doi.org/10.1103/PhysRevE.85.061106 Physical Review E Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society APS |
| spellingShingle | Malakis, A. Berker, A. Nihat Fytas, N. G. Papakonstantinou, T. Universality aspects of the d = 3 random-bond Blume-Capel model |
| title | Universality aspects of the d = 3 random-bond Blume-Capel model |
| title_full | Universality aspects of the d = 3 random-bond Blume-Capel model |
| title_fullStr | Universality aspects of the d = 3 random-bond Blume-Capel model |
| title_full_unstemmed | Universality aspects of the d = 3 random-bond Blume-Capel model |
| title_short | Universality aspects of the d = 3 random-bond Blume-Capel model |
| title_sort | universality aspects of the d 3 random bond blume capel model |
| url | http://hdl.handle.net/1721.1/72355 https://orcid.org/0000-0002-5172-2172 |
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