Yang-Lee zeros of the two- and three-state Potts model defined on [Formula presented] Feynman diagrams
Autor(a) principal: | |
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Data de Publicação: | 2003 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1103/PhysRevE.67.066108 http://hdl.handle.net/11449/228452 |
Resumo: | We present both analytical and numerical results on the position of partition function zeros on the complex magnetic field plane of the [Formula presented] state (Ising) and the [Formula presented] state Potts model defined on [Formula presented] Feynman diagrams (thin random graphs). Our analytic results are based on the ideas of destructive interference of coexisting phases and low temperature expansions. For the case of the Ising model, an argument based on a symmetry of the saddle point equations leads us to a nonperturbative proof that the Yang-Lee zeros are located on the unit circle, although no circle theorem is known in this case of random graphs. For the [Formula presented] state Potts model, our perturbative results indicate that the Yang-Lee zeros lie outside the unit circle. Both analytic results are confirmed by finite lattice numerical calculations. © 2003 The American Physical Society. |
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Yang-Lee zeros of the two- and three-state Potts model defined on [Formula presented] Feynman diagramsWe present both analytical and numerical results on the position of partition function zeros on the complex magnetic field plane of the [Formula presented] state (Ising) and the [Formula presented] state Potts model defined on [Formula presented] Feynman diagrams (thin random graphs). Our analytic results are based on the ideas of destructive interference of coexisting phases and low temperature expansions. For the case of the Ising model, an argument based on a symmetry of the saddle point equations leads us to a nonperturbative proof that the Yang-Lee zeros are located on the unit circle, although no circle theorem is known in this case of random graphs. For the [Formula presented] state Potts model, our perturbative results indicate that the Yang-Lee zeros lie outside the unit circle. Both analytic results are confirmed by finite lattice numerical calculations. © 2003 The American Physical Society.Faculdade de Tecnologia de São Paulo – CEETEPS-UNESP, Praça Fernando Prestes, 30, São Paulo, 01124-060UNESP—Campus de Guaratinguetá—DFQ, Avenida Dr. Ariberto Pereira da Cunha, 333, Guaratinguetá, São Paulo, 12516-410Faculdade de Tecnologia de São Paulo – CEETEPS-UNESP, Praça Fernando Prestes, 30, São Paulo, 01124-060UNESP—Campus de Guaratinguetá—DFQ, Avenida Dr. Ariberto Pereira da Cunha, 333, Guaratinguetá, São Paulo, 12516-410Universidade Estadual Paulista (UNESP)de Albuquerque, Luiz C. [UNESP]Dalmazi, D. [UNESP]2022-04-29T08:26:51Z2022-04-29T08:26:51Z2003-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article7http://dx.doi.org/10.1103/PhysRevE.67.066108Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, v. 67, n. 6, p. 7-, 2003.1063-651Xhttp://hdl.handle.net/11449/22845210.1103/PhysRevE.67.0661082-s2.0-85037212229Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topicsinfo:eu-repo/semantics/openAccess2024-07-01T20:52:36Zoai:repositorio.unesp.br:11449/228452Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T21:30:07.965849Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Yang-Lee zeros of the two- and three-state Potts model defined on [Formula presented] Feynman diagrams |
title |
Yang-Lee zeros of the two- and three-state Potts model defined on [Formula presented] Feynman diagrams |
spellingShingle |
Yang-Lee zeros of the two- and three-state Potts model defined on [Formula presented] Feynman diagrams de Albuquerque, Luiz C. [UNESP] |
title_short |
Yang-Lee zeros of the two- and three-state Potts model defined on [Formula presented] Feynman diagrams |
title_full |
Yang-Lee zeros of the two- and three-state Potts model defined on [Formula presented] Feynman diagrams |
title_fullStr |
Yang-Lee zeros of the two- and three-state Potts model defined on [Formula presented] Feynman diagrams |
title_full_unstemmed |
Yang-Lee zeros of the two- and three-state Potts model defined on [Formula presented] Feynman diagrams |
title_sort |
Yang-Lee zeros of the two- and three-state Potts model defined on [Formula presented] Feynman diagrams |
author |
de Albuquerque, Luiz C. [UNESP] |
author_facet |
de Albuquerque, Luiz C. [UNESP] Dalmazi, D. [UNESP] |
author_role |
author |
author2 |
Dalmazi, D. [UNESP] |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (UNESP) |
dc.contributor.author.fl_str_mv |
de Albuquerque, Luiz C. [UNESP] Dalmazi, D. [UNESP] |
description |
We present both analytical and numerical results on the position of partition function zeros on the complex magnetic field plane of the [Formula presented] state (Ising) and the [Formula presented] state Potts model defined on [Formula presented] Feynman diagrams (thin random graphs). Our analytic results are based on the ideas of destructive interference of coexisting phases and low temperature expansions. For the case of the Ising model, an argument based on a symmetry of the saddle point equations leads us to a nonperturbative proof that the Yang-Lee zeros are located on the unit circle, although no circle theorem is known in this case of random graphs. For the [Formula presented] state Potts model, our perturbative results indicate that the Yang-Lee zeros lie outside the unit circle. Both analytic results are confirmed by finite lattice numerical calculations. © 2003 The American Physical Society. |
publishDate |
2003 |
dc.date.none.fl_str_mv |
2003-01-01 2022-04-29T08:26:51Z 2022-04-29T08:26:51Z |
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.67.066108 Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, v. 67, n. 6, p. 7-, 2003. 1063-651X http://hdl.handle.net/11449/228452 10.1103/PhysRevE.67.066108 2-s2.0-85037212229 |
url |
http://dx.doi.org/10.1103/PhysRevE.67.066108 http://hdl.handle.net/11449/228452 |
identifier_str_mv |
Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, v. 67, n. 6, p. 7-, 2003. 1063-651X 10.1103/PhysRevE.67.066108 2-s2.0-85037212229 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
7 |
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_ |
1808129327257092096 |