Dynamics, thermodynamics, and phase transitions of classical spins interacting through the magnetic field

Detalhes bibliográficos
Autor(a) principal: Bagchi, Debarshee
Data de Publicação: 2018
Outros Autores: Pakter, Renato, Levin, Yan
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRGS
Texto Completo: http://hdl.handle.net/10183/181143
Resumo: We introduce and study a one dimensional model of classical planar spins interacting self-consistently through magnetic field. The spins and the magnetic field evolve in time according to the Hamiltonian dynamics which mimics that of a free electron laser. We show that by rescaling the energy due to magnetic field inhomogeneity, in equilibrium, this system can be mapped onto a model very similar to the paradigmatic globally coupled Hamiltonian mean-field (HMF) model. The system exhibits a continuous equilibrium phase transition from paramagnetic to ferromagnetic phase, however unlike HMF, we do not see any magnetized quasistationary states.
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spelling Bagchi, DebarsheePakter, RenatoLevin, Yan2018-08-18T03:01:25Z20181539-3755http://hdl.handle.net/10183/181143001070430We introduce and study a one dimensional model of classical planar spins interacting self-consistently through magnetic field. The spins and the magnetic field evolve in time according to the Hamiltonian dynamics which mimics that of a free electron laser. We show that by rescaling the energy due to magnetic field inhomogeneity, in equilibrium, this system can be mapped onto a model very similar to the paradigmatic globally coupled Hamiltonian mean-field (HMF) model. The system exhibits a continuous equilibrium phase transition from paramagnetic to ferromagnetic phase, however unlike HMF, we do not see any magnetized quasistationary states.application/pdfengPhysical review. E, Statistical, nonlinear, and soft matter physics. Melville. Vol. 97, no. 5 (May 2018), 052140, 6 p.Sistemas hamiltonianosCampos magnéticosTransformações de faseTermodinâmicaDynamics, thermodynamics, and phase transitions of classical spins interacting through the magnetic fieldEstrangeiroinfo: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:UFRGSORIGINAL001070430.pdfTexto completo (inglês)application/pdf699125http://www.lume.ufrgs.br/bitstream/10183/181143/1/001070430.pdf98d6334f6e626847fbb33696834fecc3MD51TEXT001070430.pdf.txt001070430.pdf.txtExtracted Texttext/plain25847http://www.lume.ufrgs.br/bitstream/10183/181143/2/001070430.pdf.txtfd9cf2fffc7f2de6b684a05b23c1f8a9MD52THUMBNAIL001070430.pdf.jpg001070430.pdf.jpgGenerated Thumbnailimage/jpeg1983http://www.lume.ufrgs.br/bitstream/10183/181143/3/001070430.pdf.jpg901e9b908ddf1f27b76c237c5a86033bMD5310183/1811432023-09-02 03:35:04.744534oai:www.lume.ufrgs.br:10183/181143Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2023-09-02T06:35:04Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false
dc.title.pt_BR.fl_str_mv Dynamics, thermodynamics, and phase transitions of classical spins interacting through the magnetic field
title Dynamics, thermodynamics, and phase transitions of classical spins interacting through the magnetic field
spellingShingle Dynamics, thermodynamics, and phase transitions of classical spins interacting through the magnetic field
Bagchi, Debarshee
Sistemas hamiltonianos
Campos magnéticos
Transformações de fase
Termodinâmica
title_short Dynamics, thermodynamics, and phase transitions of classical spins interacting through the magnetic field
title_full Dynamics, thermodynamics, and phase transitions of classical spins interacting through the magnetic field
title_fullStr Dynamics, thermodynamics, and phase transitions of classical spins interacting through the magnetic field
title_full_unstemmed Dynamics, thermodynamics, and phase transitions of classical spins interacting through the magnetic field
title_sort Dynamics, thermodynamics, and phase transitions of classical spins interacting through the magnetic field
author Bagchi, Debarshee
author_facet Bagchi, Debarshee
Pakter, Renato
Levin, Yan
author_role author
author2 Pakter, Renato
Levin, Yan
author2_role author
author
dc.contributor.author.fl_str_mv Bagchi, Debarshee
Pakter, Renato
Levin, Yan
dc.subject.por.fl_str_mv Sistemas hamiltonianos
Campos magnéticos
Transformações de fase
Termodinâmica
topic Sistemas hamiltonianos
Campos magnéticos
Transformações de fase
Termodinâmica
description We introduce and study a one dimensional model of classical planar spins interacting self-consistently through magnetic field. The spins and the magnetic field evolve in time according to the Hamiltonian dynamics which mimics that of a free electron laser. We show that by rescaling the energy due to magnetic field inhomogeneity, in equilibrium, this system can be mapped onto a model very similar to the paradigmatic globally coupled Hamiltonian mean-field (HMF) model. The system exhibits a continuous equilibrium phase transition from paramagnetic to ferromagnetic phase, however unlike HMF, we do not see any magnetized quasistationary states.
publishDate 2018
dc.date.accessioned.fl_str_mv 2018-08-18T03:01:25Z
dc.date.issued.fl_str_mv 2018
dc.type.driver.fl_str_mv Estrangeiro
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dc.identifier.uri.fl_str_mv http://hdl.handle.net/10183/181143
dc.identifier.issn.pt_BR.fl_str_mv 1539-3755
dc.identifier.nrb.pt_BR.fl_str_mv 001070430
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url http://hdl.handle.net/10183/181143
dc.language.iso.fl_str_mv eng
language eng
dc.relation.ispartof.pt_BR.fl_str_mv Physical review. E, Statistical, nonlinear, and soft matter physics. Melville. Vol. 97, no. 5 (May 2018), 052140, 6 p.
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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