Critical behavior at edge singularities in one-dimensional spin models
Autor(a) principal: | |
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Data de Publicação: | 2008 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1103/PhysRevE.78.031138 http://hdl.handle.net/11449/225300 |
Resumo: | In ferromagnetic spin models above the critical temperature (T> Tcr) the partition function zeros accumulate at complex values of the magnetic field (HE) with a universal behavior for the density of zeros ρ (H) ∼ H- HE σ. The critical exponent σ is believed to be universal at each space dimension and it is related to the magnetic scaling exponent yh via σ= (d- yh) yh. In two dimensions we have yh =125 (σ=-16) while yh =2 (σ=-12) in d=1. For the one-dimensional Blume-Capel and Blume-Emery-Griffiths models we show here, for different temperatures, that a value yh =3 (σ=-23) can emerge if we have a triple degeneracy of the transfer matrix eigenvalues. © 2008 The American Physical Society. |
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Critical behavior at edge singularities in one-dimensional spin modelsIn ferromagnetic spin models above the critical temperature (T> Tcr) the partition function zeros accumulate at complex values of the magnetic field (HE) with a universal behavior for the density of zeros ρ (H) ∼ H- HE σ. The critical exponent σ is believed to be universal at each space dimension and it is related to the magnetic scaling exponent yh via σ= (d- yh) yh. In two dimensions we have yh =125 (σ=-16) while yh =2 (σ=-12) in d=1. For the one-dimensional Blume-Capel and Blume-Emery-Griffiths models we show here, for different temperatures, that a value yh =3 (σ=-23) can emerge if we have a triple degeneracy of the transfer matrix eigenvalues. © 2008 The American Physical Society.UNESP Campus de Guaratinguetá DFQ, 333, Av. Dr. Ariberto P. da Cunha, CEP 12516-410 Guaratinguetá, SPUNESP Campus de Guaratinguetá DFQ, 333, Av. Dr. Ariberto P. da Cunha, CEP 12516-410 Guaratinguetá, SPUniversidade Estadual Paulista (UNESP)Dalmazi, D. [UNESP]Sá, F. L. [UNESP]2022-04-28T20:44:04Z2022-04-28T20:44:04Z2008-09-30info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1103/PhysRevE.78.031138Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, v. 78, n. 3, 2008.1539-37551550-2376http://hdl.handle.net/11449/22530010.1103/PhysRevE.78.0311382-s2.0-53449100304Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review E - Statistical, Nonlinear, and Soft Matter Physicsinfo:eu-repo/semantics/openAccess2024-07-01T20:52:26Zoai:repositorio.unesp.br:11449/225300Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T19:49:16.851115Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Critical behavior at edge singularities in one-dimensional spin models |
title |
Critical behavior at edge singularities in one-dimensional spin models |
spellingShingle |
Critical behavior at edge singularities in one-dimensional spin models Dalmazi, D. [UNESP] |
title_short |
Critical behavior at edge singularities in one-dimensional spin models |
title_full |
Critical behavior at edge singularities in one-dimensional spin models |
title_fullStr |
Critical behavior at edge singularities in one-dimensional spin models |
title_full_unstemmed |
Critical behavior at edge singularities in one-dimensional spin models |
title_sort |
Critical behavior at edge singularities in one-dimensional spin models |
author |
Dalmazi, D. [UNESP] |
author_facet |
Dalmazi, D. [UNESP] Sá, F. L. [UNESP] |
author_role |
author |
author2 |
Sá, F. L. [UNESP] |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (UNESP) |
dc.contributor.author.fl_str_mv |
Dalmazi, D. [UNESP] Sá, F. L. [UNESP] |
description |
In ferromagnetic spin models above the critical temperature (T> Tcr) the partition function zeros accumulate at complex values of the magnetic field (HE) with a universal behavior for the density of zeros ρ (H) ∼ H- HE σ. The critical exponent σ is believed to be universal at each space dimension and it is related to the magnetic scaling exponent yh via σ= (d- yh) yh. In two dimensions we have yh =125 (σ=-16) while yh =2 (σ=-12) in d=1. For the one-dimensional Blume-Capel and Blume-Emery-Griffiths models we show here, for different temperatures, that a value yh =3 (σ=-23) can emerge if we have a triple degeneracy of the transfer matrix eigenvalues. © 2008 The American Physical Society. |
publishDate |
2008 |
dc.date.none.fl_str_mv |
2008-09-30 2022-04-28T20:44:04Z 2022-04-28T20:44:04Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1103/PhysRevE.78.031138 Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, v. 78, n. 3, 2008. 1539-3755 1550-2376 http://hdl.handle.net/11449/225300 10.1103/PhysRevE.78.031138 2-s2.0-53449100304 |
url |
http://dx.doi.org/10.1103/PhysRevE.78.031138 http://hdl.handle.net/11449/225300 |
identifier_str_mv |
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, v. 78, n. 3, 2008. 1539-3755 1550-2376 10.1103/PhysRevE.78.031138 2-s2.0-53449100304 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808129122817277952 |