A Langevin approach to a classical Brownian oscillator in an electromagnetic field

Detalhes bibliográficos
Autor(a) principal: Espinoza Ortiz, J. S.
Data de Publicação: 2016
Outros Autores: Bauke, F. C., Lagos, R. E. [UNESP]
Tipo de documento: Artigo de conferência
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1088/1742-6596/738/1/012032
http://hdl.handle.net/11449/173523
Resumo: We consider a charged Brownian particle bounded by an harmonic potential, embedded in a Markovian heat bath and driven from equilibrium by external electric and magnetic fields. We develop a quaternionic-like (or Pauli spinor-like) representation, hitherto exploited in classical Lorentz related dynamics. Within this formalism, in a very straight forward and elegant fashion, we compute the exact solution for the resulting generalized Langevin equation, for the case of a constant magnetic field. For the case the source electromagnetic fields satisfy Maxwell's equations, yielding spinor-like Mathieu equations, we compute the solutions within the JWKB approximation. With the solutions at hand we further compute spatial, velocities and crossed time correlations. In particular we study the (kinetically defined) nonequilbrium temperature. Therefore, we can display the system's time evolution towards equilibrium or towards non equilibrium (steady or not) states.
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spelling A Langevin approach to a classical Brownian oscillator in an electromagnetic fieldWe consider a charged Brownian particle bounded by an harmonic potential, embedded in a Markovian heat bath and driven from equilibrium by external electric and magnetic fields. We develop a quaternionic-like (or Pauli spinor-like) representation, hitherto exploited in classical Lorentz related dynamics. Within this formalism, in a very straight forward and elegant fashion, we compute the exact solution for the resulting generalized Langevin equation, for the case of a constant magnetic field. For the case the source electromagnetic fields satisfy Maxwell's equations, yielding spinor-like Mathieu equations, we compute the solutions within the JWKB approximation. With the solutions at hand we further compute spatial, velocities and crossed time correlations. In particular we study the (kinetically defined) nonequilbrium temperature. Therefore, we can display the system's time evolution towards equilibrium or towards non equilibrium (steady or not) states.Departamento de Física IFQC Universidade Federal de GoiásInstituto de Física Gleb Wataghin UNICAMPDepartamento de Física IGCE UNESPDepartamento de Física IGCE UNESPUniversidade Federal de Goiás (UFG)Universidade Estadual de Campinas (UNICAMP)Universidade Estadual Paulista (Unesp)Espinoza Ortiz, J. S.Bauke, F. C.Lagos, R. E. [UNESP]2018-12-11T17:06:05Z2018-12-11T17:06:05Z2016-09-05info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObjectapplication/pdfhttp://dx.doi.org/10.1088/1742-6596/738/1/012032Journal of Physics: Conference Series, v. 738, n. 1, 2016.1742-65961742-6588http://hdl.handle.net/11449/17352310.1088/1742-6596/738/1/0120322-s2.0-849887142902-s2.0-84988714290.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Physics: Conference Series0,2410,241info:eu-repo/semantics/openAccess2023-11-12T06:15:41Zoai:repositorio.unesp.br:11449/173523Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-11-12T06:15:41Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv A Langevin approach to a classical Brownian oscillator in an electromagnetic field
title A Langevin approach to a classical Brownian oscillator in an electromagnetic field
spellingShingle A Langevin approach to a classical Brownian oscillator in an electromagnetic field
Espinoza Ortiz, J. S.
title_short A Langevin approach to a classical Brownian oscillator in an electromagnetic field
title_full A Langevin approach to a classical Brownian oscillator in an electromagnetic field
title_fullStr A Langevin approach to a classical Brownian oscillator in an electromagnetic field
title_full_unstemmed A Langevin approach to a classical Brownian oscillator in an electromagnetic field
title_sort A Langevin approach to a classical Brownian oscillator in an electromagnetic field
author Espinoza Ortiz, J. S.
author_facet Espinoza Ortiz, J. S.
Bauke, F. C.
Lagos, R. E. [UNESP]
author_role author
author2 Bauke, F. C.
Lagos, R. E. [UNESP]
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Federal de Goiás (UFG)
Universidade Estadual de Campinas (UNICAMP)
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Espinoza Ortiz, J. S.
Bauke, F. C.
Lagos, R. E. [UNESP]
description We consider a charged Brownian particle bounded by an harmonic potential, embedded in a Markovian heat bath and driven from equilibrium by external electric and magnetic fields. We develop a quaternionic-like (or Pauli spinor-like) representation, hitherto exploited in classical Lorentz related dynamics. Within this formalism, in a very straight forward and elegant fashion, we compute the exact solution for the resulting generalized Langevin equation, for the case of a constant magnetic field. For the case the source electromagnetic fields satisfy Maxwell's equations, yielding spinor-like Mathieu equations, we compute the solutions within the JWKB approximation. With the solutions at hand we further compute spatial, velocities and crossed time correlations. In particular we study the (kinetically defined) nonequilbrium temperature. Therefore, we can display the system's time evolution towards equilibrium or towards non equilibrium (steady or not) states.
publishDate 2016
dc.date.none.fl_str_mv 2016-09-05
2018-12-11T17:06:05Z
2018-12-11T17:06:05Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/conferenceObject
format conferenceObject
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1088/1742-6596/738/1/012032
Journal of Physics: Conference Series, v. 738, n. 1, 2016.
1742-6596
1742-6588
http://hdl.handle.net/11449/173523
10.1088/1742-6596/738/1/012032
2-s2.0-84988714290
2-s2.0-84988714290.pdf
url http://dx.doi.org/10.1088/1742-6596/738/1/012032
http://hdl.handle.net/11449/173523
identifier_str_mv Journal of Physics: Conference Series, v. 738, n. 1, 2016.
1742-6596
1742-6588
10.1088/1742-6596/738/1/012032
2-s2.0-84988714290
2-s2.0-84988714290.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal of Physics: Conference Series
0,241
0,241
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
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
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