Core-halo distribution in the Hamiltonian mean-field model

Detalhes bibliográficos
Autor(a) principal: Pakter, Renato
Data de Publicação: 2011
Outros Autores: Levin, Yan
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRGS
Texto Completo: http://hdl.handle.net/10183/103668
Resumo: We study a paradigmatic system with long-range interactions: the Hamiltonian mean-field (HMF) model. It is shown that in the thermodynamic limit this model does not relax to the usual equilibrium Maxwell-Boltzmann distribution. Instead, the final stationary state has a peculiar core-halo structure. In the thermodynamic limit, HMF is neither ergodic nor mixing. Nevertheless, we find that using dynamical properties of Hamiltonian systems it is possible to quantitatively predict both the spin distribution and the velocity distribution functions in the final stationary state, without any adjustable parameters. We also show that HMF undergoes a nonequilibrium first-order phase transition between paramagnetic and ferromagnetic states.
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spelling Pakter, RenatoLevin, Yan2014-09-23T02:12:52Z20110031-9007http://hdl.handle.net/10183/103668000794824We study a paradigmatic system with long-range interactions: the Hamiltonian mean-field (HMF) model. It is shown that in the thermodynamic limit this model does not relax to the usual equilibrium Maxwell-Boltzmann distribution. Instead, the final stationary state has a peculiar core-halo structure. In the thermodynamic limit, HMF is neither ergodic nor mixing. Nevertheless, we find that using dynamical properties of Hamiltonian systems it is possible to quantitatively predict both the spin distribution and the velocity distribution functions in the final stationary state, without any adjustable parameters. We also show that HMF undergoes a nonequilibrium first-order phase transition between paramagnetic and ferromagnetic states.application/pdfengPhysical review letters. Melville. Vol. 106, no. 20 (May 2011), 200603, 4 p.Mecânica estatísticaTransformações de faseTermodinâmica de não-equilíbrioSistemas hamiltonianosCore-halo distribution in the Hamiltonian mean-field modelEstrangeiroinfo: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:UFRGSORIGINAL000794824.pdf000794824.pdfTexto completo (inglês)application/pdf1997248http://www.lume.ufrgs.br/bitstream/10183/103668/1/000794824.pdf28c0b0702e87fd4ad58cef8ad4211ebfMD51TEXT000794824.pdf.txt000794824.pdf.txtExtracted Texttext/plain20899http://www.lume.ufrgs.br/bitstream/10183/103668/2/000794824.pdf.txt5800b518256a7db94f0900cb4fe8116dMD52THUMBNAIL000794824.pdf.jpg000794824.pdf.jpgGenerated Thumbnailimage/jpeg1952http://www.lume.ufrgs.br/bitstream/10183/103668/3/000794824.pdf.jpgab3bc3e7f2a4c236c7f2d06710e1fea7MD5310183/1036682023-09-02 03:32:59.836645oai:www.lume.ufrgs.br:10183/103668Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2023-09-02T06:32:59Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false
dc.title.pt_BR.fl_str_mv Core-halo distribution in the Hamiltonian mean-field model
title Core-halo distribution in the Hamiltonian mean-field model
spellingShingle Core-halo distribution in the Hamiltonian mean-field model
Pakter, Renato
Mecânica estatística
Transformações de fase
Termodinâmica de não-equilíbrio
Sistemas hamiltonianos
title_short Core-halo distribution in the Hamiltonian mean-field model
title_full Core-halo distribution in the Hamiltonian mean-field model
title_fullStr Core-halo distribution in the Hamiltonian mean-field model
title_full_unstemmed Core-halo distribution in the Hamiltonian mean-field model
title_sort Core-halo distribution in the Hamiltonian mean-field model
author Pakter, Renato
author_facet Pakter, Renato
Levin, Yan
author_role author
author2 Levin, Yan
author2_role author
dc.contributor.author.fl_str_mv Pakter, Renato
Levin, Yan
dc.subject.por.fl_str_mv Mecânica estatística
Transformações de fase
Termodinâmica de não-equilíbrio
Sistemas hamiltonianos
topic Mecânica estatística
Transformações de fase
Termodinâmica de não-equilíbrio
Sistemas hamiltonianos
description We study a paradigmatic system with long-range interactions: the Hamiltonian mean-field (HMF) model. It is shown that in the thermodynamic limit this model does not relax to the usual equilibrium Maxwell-Boltzmann distribution. Instead, the final stationary state has a peculiar core-halo structure. In the thermodynamic limit, HMF is neither ergodic nor mixing. Nevertheless, we find that using dynamical properties of Hamiltonian systems it is possible to quantitatively predict both the spin distribution and the velocity distribution functions in the final stationary state, without any adjustable parameters. We also show that HMF undergoes a nonequilibrium first-order phase transition between paramagnetic and ferromagnetic states.
publishDate 2011
dc.date.issued.fl_str_mv 2011
dc.date.accessioned.fl_str_mv 2014-09-23T02:12:52Z
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dc.identifier.uri.fl_str_mv http://hdl.handle.net/10183/103668
dc.identifier.issn.pt_BR.fl_str_mv 0031-9007
dc.identifier.nrb.pt_BR.fl_str_mv 000794824
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url http://hdl.handle.net/10183/103668
dc.language.iso.fl_str_mv eng
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dc.relation.ispartof.pt_BR.fl_str_mv Physical review letters. Melville. Vol. 106, no. 20 (May 2011), 200603, 4 p.
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