Multicritical points and crossover mediating the strong violation of universality: Wang-Landau determinations in the random-bond d=2 Blume-Capel model
The effects of bond randomness on the phase diagram and critical behavior of the square lattice ferromagnetic Blume-Capel model are discussed. The system is studied in both the pure and disordered versions by the same efficient two-stage Wang-Landau method for many values of the crystal field, restr...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | en_US |
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American Physical Society
2010
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| Online Access: | http://hdl.handle.net/1721.1/58843 https://orcid.org/0000-0002-5172-2172 |
| _version_ | 1826210965362835456 |
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| author | Malakis, A. Berker, A. Nihat Hadjiagapiou, I. A. 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 Hadjiagapiou, I. A. Fytas, N. G. Papakonstantinou, T. |
| author_sort | Malakis, A. |
| collection | MIT |
| description | The effects of bond randomness on the phase diagram and critical behavior of the square lattice ferromagnetic Blume-Capel model are discussed. The system is studied in both the pure and disordered versions by the same efficient two-stage Wang-Landau method for many values of the crystal field, restricted here in the second-order phase-transition regime of the pure model. For the random-bond version several disorder strengths are considered. We present phase diagram points of both pure and random versions and for a particular disorder strength we locate the emergence of the enhancement of ferromagnetic order observed in an earlier study in the ex-first-order regime. The critical properties of the pure model are contrasted and compared to those of the random model. Accepting, for the weak random version, the assumption of the double-logarithmic scenario for the specific heat we attempt to estimate the range of universality between the pure and random-bond models. The behavior of the strong disorder regime is also discussed and a rather complex and yet not fully understood behavior is observed. It is pointed out that this complexity is related to the ground-state structure of the random-bond version. |
| first_indexed | 2024-09-23T14:58:34Z |
| format | Article |
| id | mit-1721.1/58843 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T14:58:34Z |
| publishDate | 2010 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/588432022-09-29T11:47:34Z Multicritical points and crossover mediating the strong violation of universality: Wang-Landau determinations in the random-bond d=2 Blume-Capel model Malakis, A. Berker, A. Nihat Hadjiagapiou, I. A. 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 phase diagram and critical behavior of the square lattice ferromagnetic Blume-Capel model are discussed. The system is studied in both the pure and disordered versions by the same efficient two-stage Wang-Landau method for many values of the crystal field, restricted here in the second-order phase-transition regime of the pure model. For the random-bond version several disorder strengths are considered. We present phase diagram points of both pure and random versions and for a particular disorder strength we locate the emergence of the enhancement of ferromagnetic order observed in an earlier study in the ex-first-order regime. The critical properties of the pure model are contrasted and compared to those of the random model. Accepting, for the weak random version, the assumption of the double-logarithmic scenario for the specific heat we attempt to estimate the range of universality between the pure and random-bond models. The behavior of the strong disorder regime is also discussed and a rather complex and yet not fully understood behavior is observed. It is pointed out that this complexity is related to the ground-state structure of the random-bond version. University of Athens (grant no. 70/4/4071) 2010-10-04T13:49:13Z 2010-10-04T13:49:13Z 2010-04 2010-01 Article http://purl.org/eprint/type/JournalArticle 1539-3755 1550-2376 http://hdl.handle.net/1721.1/58843 Malakis, A., Berker, A. Nihat, Hadjiagapiou, I. A., Fytas, N. G., and Papakonstantinou, T. (2010). Multicritical points and crossover mediating the strong violation of universality: Wang-Landau determinations in the random-bond d=2 Blume-Capel model. Phys. Rev. E 81: 041113/1-11. © 2010 The American Physical Society https://orcid.org/0000-0002-5172-2172 en_US http://dx.doi.org/10.1103/PhysRevE.81.041113 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 Hadjiagapiou, I. A. Fytas, N. G. Papakonstantinou, T. Multicritical points and crossover mediating the strong violation of universality: Wang-Landau determinations in the random-bond d=2 Blume-Capel model |
| title | Multicritical points and crossover mediating the strong violation of universality: Wang-Landau determinations in the random-bond d=2 Blume-Capel model |
| title_full | Multicritical points and crossover mediating the strong violation of universality: Wang-Landau determinations in the random-bond d=2 Blume-Capel model |
| title_fullStr | Multicritical points and crossover mediating the strong violation of universality: Wang-Landau determinations in the random-bond d=2 Blume-Capel model |
| title_full_unstemmed | Multicritical points and crossover mediating the strong violation of universality: Wang-Landau determinations in the random-bond d=2 Blume-Capel model |
| title_short | Multicritical points and crossover mediating the strong violation of universality: Wang-Landau determinations in the random-bond d=2 Blume-Capel model |
| title_sort | multicritical points and crossover mediating the strong violation of universality wang landau determinations in the random bond d 2 blume capel model |
| url | http://hdl.handle.net/1721.1/58843 https://orcid.org/0000-0002-5172-2172 |
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