Crossover scaling in the two-dimensional three-state Potts model
We apply simulated tempering and magnetizing (STM) Monte Carlo simulations to the two-dimensional three-state Potts model in an external magnetic field in order to investigate the crossover scaling behaviour in the temperature-field plane at the Potts critical point and towards the Ising universalit...
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| Published in: | Condensed Matter Physics |
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| Date: | 2013 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут фізики конденсованих систем НАН України
2013
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/120803 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Crossover scaling in the two-dimensional three-state Potts model / T. Nagai, Y. Okamoto, W. Janke // Condensed Matter Physics. — 2013. — Т. 16, № 2. — С. 23605:1-8. — Бібліогр.: 38 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862578758670614528 |
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| author | Nagai, T. Okamoto, Y. Janke, W. |
| author_facet | Nagai, T. Okamoto, Y. Janke, W. |
| citation_txt | Crossover scaling in the two-dimensional three-state Potts model / T. Nagai, Y. Okamoto, W. Janke // Condensed Matter Physics. — 2013. — Т. 16, № 2. — С. 23605:1-8. — Бібліогр.: 38 назв. — англ. |
| collection | DSpace DC |
| container_title | Condensed Matter Physics |
| description | We apply simulated tempering and magnetizing (STM) Monte Carlo simulations to the two-dimensional three-state Potts model in an external magnetic field in order to investigate the crossover scaling behaviour in the temperature-field plane at the Potts critical point and towards the Ising universality class for negative magnetic fields. Our data set has been generated by STM simulations of several square lattices with sizes up to 160x160 spins, supplemented by conventional canonical simulations of larger lattices at selected simulation points. We present careful scaling and finite-size scaling analyses of the crossover behaviour with respect to temperature, magnetic field and lattice size.
Ми застосовуємо Монте Карло симуляцiї з симульованим темперуванням i намагнiченням (STM) до двовимiрної тристанової моделi Поттса у зовнiшньому магнiтному полi для того, щоб дослiдити кросоверну скейлiнгову поведiнку у площинi температура-поле при критичнiй точцi Поттса, а також клас унiверсальностi моделi Iзинга для негативних магнiтних полiв. Набiр наших даних був згенерований STM симуляцiями декiлькох квадратних ґраток розмiром до 160×160 спiнiв, доповненими звичайними канонiчними симуляцiями бiльших ґраток при вибраних симуляцiйних точках. Ми представляємо ретельний аналiз скейлiнгу i скiнченомiрного скейлiнгу кросоверної поведiнки по вiдношенню до температури, магнiтного поля i розмiру ґратки.
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| first_indexed | 2025-11-26T17:40:18Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-120803 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1607-324X |
| language | English |
| last_indexed | 2025-11-26T17:40:18Z |
| publishDate | 2013 |
| publisher | Інститут фізики конденсованих систем НАН України |
| record_format | dspace |
| spelling | Nagai, T. Okamoto, Y. Janke, W. 2017-06-13T04:59:16Z 2017-06-13T04:59:16Z 2013 Crossover scaling in the two-dimensional three-state Potts model / T. Nagai, Y. Okamoto, W. Janke // Condensed Matter Physics. — 2013. — Т. 16, № 2. — С. 23605:1-8. — Бібліогр.: 38 назв. — англ. 1607-324X PACS: 64.60.De, 75.30.Kz, 75.10.Hk, 05.10.Ln DOI:10.5488/CMP.16.23605 arXiv:1307.3865 https://nasplib.isofts.kiev.ua/handle/123456789/120803 We apply simulated tempering and magnetizing (STM) Monte Carlo simulations to the two-dimensional three-state Potts model in an external magnetic field in order to investigate the crossover scaling behaviour in the temperature-field plane at the Potts critical point and towards the Ising universality class for negative magnetic fields. Our data set has been generated by STM simulations of several square lattices with sizes up to 160x160 spins, supplemented by conventional canonical simulations of larger lattices at selected simulation points. We present careful scaling and finite-size scaling analyses of the crossover behaviour with respect to temperature, magnetic field and lattice size. Ми застосовуємо Монте Карло симуляцiї з симульованим темперуванням i намагнiченням (STM) до двовимiрної тристанової моделi Поттса у зовнiшньому магнiтному полi для того, щоб дослiдити кросоверну скейлiнгову поведiнку у площинi температура-поле при критичнiй точцi Поттса, а також клас унiверсальностi моделi Iзинга для негативних магнiтних полiв. Набiр наших даних був згенерований STM симуляцiями декiлькох квадратних ґраток розмiром до 160×160 спiнiв, доповненими звичайними канонiчними симуляцiями бiльших ґраток при вибраних симуляцiйних точках. Ми представляємо ретельний аналiз скейлiнгу i скiнченомiрного скейлiнгу кросоверної поведiнки по вiдношенню до температури, магнiтного поля i розмiру ґратки. We thank the Information Technology Center, Nagoya University, the Research Center for Computational Science, Institute for Molecular Science, and the Supercomputer Center, Institute for Solid State Physics, University of Tokyo, for computing time on their supercomputers. This work was supported, in part, by JSPS Institutional Program for Young Researcher Overseas Visit (to T.N.) and by Grants-in-Aid for Scientific Research on Innovative Areas (“Fluctuations and Biological Functions") and for the Computational Materials Science Initiative from the Ministry of Education, Culture, Sports, Science and Technology, Japan (MEXT). W.J. gratefully acknowledges support by DFG Sonderforschungsbereich SFB/TRR 102 (Project B04) and the Deutsch-Französische Hochschule (DFH-UFA) under Grant No. CDFA–02–07. T.N. also thanks the Nagoya University Program for “Leading Graduate Schools: Integrative Graduate Educa-tion and Research Program in Green Natural Sciences” for support of his extended stay in Leipzig. en Інститут фізики конденсованих систем НАН України Condensed Matter Physics Crossover scaling in the two-dimensional three-state Potts model Скейлiнґ кросоверу у двовимiрнiй тристановiй моделi Поттса Article published earlier |
| spellingShingle | Crossover scaling in the two-dimensional three-state Potts model Nagai, T. Okamoto, Y. Janke, W. |
| title | Crossover scaling in the two-dimensional three-state Potts model |
| title_alt | Скейлiнґ кросоверу у двовимiрнiй тристановiй моделi Поттса |
| title_full | Crossover scaling in the two-dimensional three-state Potts model |
| title_fullStr | Crossover scaling in the two-dimensional three-state Potts model |
| title_full_unstemmed | Crossover scaling in the two-dimensional three-state Potts model |
| title_short | Crossover scaling in the two-dimensional three-state Potts model |
| title_sort | crossover scaling in the two-dimensional three-state potts model |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/120803 |
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