The zeros of the energy probability distribution: a new way to study phase transitions

We describe an iterative method to study the critical behavior of a system based on the partial knowledge of the complex Fisher zeros set of the partition function. The method is general with advantages over most conventional techniques since it does not need to identify any order parameter a priori...

Descripción completa

Detalles Bibliográficos
Autores: Bismarck Vaz da Costa, Lucas Alvares da Silva Mól, Julio Cesar Siqueira Rocha
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2017
País:Brasil
Institución:Universidade Federal de Minas Gerais (UFMG)
Repositorio:Repositório Institucional da UFMG
Idioma:inglés
OAI Identifier:oai:repositorio.ufmg.br:1843/80430
Acceso en línea:https://doi.org/10.1088/1742-6596/921/1/012004
http://hdl.handle.net/1843/80430
https://orcid.org/0000-0002-0166-4162
https://orcid.org/0000-0002-5001-0499
http://orcid.org/0000-0002-6428-2946
Access Level:acceso abierto
Palabra clave:Phase transitions
Transições de fases
id BR_dfd8a27a723176d54ff2d1d2ed3ccc38
oai_identifier_str oai:repositorio.ufmg.br:1843/80430
network_acronym_str BR
network_name_str Brasil
repository_id_str
spelling The zeros of the energy probability distribution: a new way to study phase transitionsPhase transitionsTransições de fasesWe describe an iterative method to study the critical behavior of a system based on the partial knowledge of the complex Fisher zeros set of the partition function. The method is general with advantages over most conventional techniques since it does not need to identify any order parameter a priori. The critical temperature and exponents can be obtained with great precision. To test the method and to show how it works we applied it to the 2D Ising and 6 − states Potts models. The strategy can easily be adapted to any model, classical or quantum, once we can build the corresponding energy probability distribution.CNPq - Conselho Nacional de Desenvolvimento Científico e TecnológicoFAPEMIG - Fundação de Amparo à Pesquisa do Estado de Minas GeraisUniversidade Federal de Minas GeraisBrasilICX - DEPARTAMENTO DE FÍSICAUFMG2025-02-25T18:07:14Z2025-02-25T18:07:14Z2017info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlepdfapplication/pdfhttps://doi.org/10.1088/1742-6596/921/1/0120041742-6596http://hdl.handle.net/1843/80430https://orcid.org/0000-0002-0166-4162https://orcid.org/0000-0002-5001-0499http://orcid.org/0000-0002-6428-2946engJournal of Physics: Conference Seriesinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFMGinstname:Universidade Federal de Minas Gerais (UFMG)instacron:UFMGBismarck Vaz da CostaLucas Alvares da Silva MólJulio Cesar Siqueira Rocha2025-03-07T20:09:04Zoai:repositorio.ufmg.br:1843/80430Repositório InstitucionalPUBhttps://repositorio.ufmg.br/oairepositorio@ufmg.bropendoar:2025-03-07T20:09:04Repositório Institucional da UFMG - Universidade Federal de Minas Gerais (UFMG)false
dc.title.none.fl_str_mv The zeros of the energy probability distribution: a new way to study phase transitions
title The zeros of the energy probability distribution: a new way to study phase transitions
spellingShingle The zeros of the energy probability distribution: a new way to study phase transitions
Bismarck Vaz da Costa
Phase transitions
Transições de fases
title_short The zeros of the energy probability distribution: a new way to study phase transitions
title_full The zeros of the energy probability distribution: a new way to study phase transitions
title_fullStr The zeros of the energy probability distribution: a new way to study phase transitions
title_full_unstemmed The zeros of the energy probability distribution: a new way to study phase transitions
title_sort The zeros of the energy probability distribution: a new way to study phase transitions
dc.creator.none.fl_str_mv Bismarck Vaz da Costa
Lucas Alvares da Silva Mól
Julio Cesar Siqueira Rocha
author Bismarck Vaz da Costa
author_facet Bismarck Vaz da Costa
Lucas Alvares da Silva Mól
Julio Cesar Siqueira Rocha
author_role author
author2 Lucas Alvares da Silva Mól
Julio Cesar Siqueira Rocha
author2_role author
author
dc.subject.por.fl_str_mv Phase transitions
Transições de fases
topic Phase transitions
Transições de fases
description We describe an iterative method to study the critical behavior of a system based on the partial knowledge of the complex Fisher zeros set of the partition function. The method is general with advantages over most conventional techniques since it does not need to identify any order parameter a priori. The critical temperature and exponents can be obtained with great precision. To test the method and to show how it works we applied it to the 2D Ising and 6 − states Potts models. The strategy can easily be adapted to any model, classical or quantum, once we can build the corresponding energy probability distribution.
publishDate 2017
dc.date.none.fl_str_mv 2017
2025-02-25T18:07:14Z
2025-02-25T18:07:14Z
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 https://doi.org/10.1088/1742-6596/921/1/012004
1742-6596
http://hdl.handle.net/1843/80430
https://orcid.org/0000-0002-0166-4162
https://orcid.org/0000-0002-5001-0499
http://orcid.org/0000-0002-6428-2946
url https://doi.org/10.1088/1742-6596/921/1/012004
http://hdl.handle.net/1843/80430
https://orcid.org/0000-0002-0166-4162
https://orcid.org/0000-0002-5001-0499
http://orcid.org/0000-0002-6428-2946
identifier_str_mv 1742-6596
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal of Physics: Conference Series
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv pdf
application/pdf
dc.publisher.none.fl_str_mv Universidade Federal de Minas Gerais
Brasil
ICX - DEPARTAMENTO DE FÍSICA
UFMG
publisher.none.fl_str_mv Universidade Federal de Minas Gerais
Brasil
ICX - DEPARTAMENTO DE FÍSICA
UFMG
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFMG
instname:Universidade Federal de Minas Gerais (UFMG)
instacron:UFMG
instname_str Universidade Federal de Minas Gerais (UFMG)
instacron_str UFMG
institution UFMG
reponame_str Repositório Institucional da UFMG
collection Repositório Institucional da UFMG
repository.name.fl_str_mv Repositório Institucional da UFMG - Universidade Federal de Minas Gerais (UFMG)
repository.mail.fl_str_mv repositorio@ufmg.br
_version_ 1853663209944252416
score 15.301629

Similares en LA Referencia