Nonequilibrium phase transitions in systems with long-range interactions
Autor(a) principal: | |
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Data de Publicação: | 2012 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFRGS |
Texto Completo: | http://hdl.handle.net/10183/103671 |
Resumo: | We introduce a generalized Hamiltonian mean field model—an XY model with both linear and quadratic coupling between spins and explicit Hamiltonian dynamics. In addition to the usual paramagnetic and ferromagnetic phases, this model also possesses a nematic phase. The generalized Hamiltonian mean field model can be solved explicitly using Boltzmann-Gibbs statistical mechanics, in both canonical and microcanonical ensembles. However, when the resulting microcanonical phase diagram is compared with the one obtained using molecular dynamics simulations, it is found that the two are very different.We will present a dynamical theory which allows us to explicitly calculate the phase diagram obtained using molecular dynamics simulations without any adjustable parameters. The model illustrates the fundamental role played by dynamics as well the inadequacy of Boltzmann-Gibbs statistics for systems with long-range forces in the thermodynamic limit. |
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Teles, Tarcisio NunesBenetti, Fernanda Pereira da CruzPakter, RenatoLevin, Yan2014-09-23T02:12:53Z20120031-9007http://hdl.handle.net/10183/103671000870503We introduce a generalized Hamiltonian mean field model—an XY model with both linear and quadratic coupling between spins and explicit Hamiltonian dynamics. In addition to the usual paramagnetic and ferromagnetic phases, this model also possesses a nematic phase. The generalized Hamiltonian mean field model can be solved explicitly using Boltzmann-Gibbs statistical mechanics, in both canonical and microcanonical ensembles. However, when the resulting microcanonical phase diagram is compared with the one obtained using molecular dynamics simulations, it is found that the two are very different.We will present a dynamical theory which allows us to explicitly calculate the phase diagram obtained using molecular dynamics simulations without any adjustable parameters. The model illustrates the fundamental role played by dynamics as well the inadequacy of Boltzmann-Gibbs statistics for systems with long-range forces in the thermodynamic limit.application/pdfengPhysical review letters. Melville. Vol. 109, no. 23 (Dec. 2012), 230601, 5 p.Mecânica estatísticaTermodinâmica de não-equilíbrioDinâmica molecularNonequilibrium phase transitions in systems with long-range interactionsEstrangeiroinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRGSinstname:Universidade Federal do Rio Grande do Sul (UFRGS)instacron:UFRGSTEXT000870503.pdf.txt000870503.pdf.txtExtracted Texttext/plain21541http://www.lume.ufrgs.br/bitstream/10183/103671/2/000870503.pdf.txt0a6f448addabc7737ce9008aebbc2198MD52ORIGINAL000870503.pdf000870503.pdfTexto completo (inglês)application/pdf1690422http://www.lume.ufrgs.br/bitstream/10183/103671/1/000870503.pdfe6bf3a126e1aeb6ad9f87f0bd1113056MD51THUMBNAIL000870503.pdf.jpg000870503.pdf.jpgGenerated Thumbnailimage/jpeg1972http://www.lume.ufrgs.br/bitstream/10183/103671/3/000870503.pdf.jpgf143c3a6ed40d257a398f8f4afe82030MD5310183/1036712023-09-02 03:34:59.204396oai:www.lume.ufrgs.br:10183/103671Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2023-09-02T06:34:59Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false |
dc.title.pt_BR.fl_str_mv |
Nonequilibrium phase transitions in systems with long-range interactions |
title |
Nonequilibrium phase transitions in systems with long-range interactions |
spellingShingle |
Nonequilibrium phase transitions in systems with long-range interactions Teles, Tarcisio Nunes Mecânica estatística Termodinâmica de não-equilíbrio Dinâmica molecular |
title_short |
Nonequilibrium phase transitions in systems with long-range interactions |
title_full |
Nonequilibrium phase transitions in systems with long-range interactions |
title_fullStr |
Nonequilibrium phase transitions in systems with long-range interactions |
title_full_unstemmed |
Nonequilibrium phase transitions in systems with long-range interactions |
title_sort |
Nonequilibrium phase transitions in systems with long-range interactions |
author |
Teles, Tarcisio Nunes |
author_facet |
Teles, Tarcisio Nunes Benetti, Fernanda Pereira da Cruz Pakter, Renato Levin, Yan |
author_role |
author |
author2 |
Benetti, Fernanda Pereira da Cruz Pakter, Renato Levin, Yan |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Teles, Tarcisio Nunes Benetti, Fernanda Pereira da Cruz Pakter, Renato Levin, Yan |
dc.subject.por.fl_str_mv |
Mecânica estatística Termodinâmica de não-equilíbrio Dinâmica molecular |
topic |
Mecânica estatística Termodinâmica de não-equilíbrio Dinâmica molecular |
description |
We introduce a generalized Hamiltonian mean field model—an XY model with both linear and quadratic coupling between spins and explicit Hamiltonian dynamics. In addition to the usual paramagnetic and ferromagnetic phases, this model also possesses a nematic phase. The generalized Hamiltonian mean field model can be solved explicitly using Boltzmann-Gibbs statistical mechanics, in both canonical and microcanonical ensembles. However, when the resulting microcanonical phase diagram is compared with the one obtained using molecular dynamics simulations, it is found that the two are very different.We will present a dynamical theory which allows us to explicitly calculate the phase diagram obtained using molecular dynamics simulations without any adjustable parameters. The model illustrates the fundamental role played by dynamics as well the inadequacy of Boltzmann-Gibbs statistics for systems with long-range forces in the thermodynamic limit. |
publishDate |
2012 |
dc.date.issued.fl_str_mv |
2012 |
dc.date.accessioned.fl_str_mv |
2014-09-23T02:12:53Z |
dc.type.driver.fl_str_mv |
Estrangeiro info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10183/103671 |
dc.identifier.issn.pt_BR.fl_str_mv |
0031-9007 |
dc.identifier.nrb.pt_BR.fl_str_mv |
000870503 |
identifier_str_mv |
0031-9007 000870503 |
url |
http://hdl.handle.net/10183/103671 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.ispartof.pt_BR.fl_str_mv |
Physical review letters. Melville. Vol. 109, no. 23 (Dec. 2012), 230601, 5 p. |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
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Repositório Institucional da UFRGS |
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