Charged particle dynamics in time dependent magnetic fields

Detalhes bibliográficos
Autor(a) principal: Machado, José Márcio [UNESP]
Data de Publicação: 2008
Outros Autores: Tsuchida, Masayoshi [UNESP]
Tipo de documento: Artigo de conferência
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://hdl.handle.net/11449/227773
Resumo: In this work we study the behavior of charged particles immersed in a peculiar configuration of magnetic fields, which has a main constant field B0 and a superimposed, transversal perturbation field B1 sin(ωpt), with B1 « B0. By taking Cartesian coordinates and placing B0 along the z axis and B1 sin(ωpt) p sin ω 1 on the x axis, an analytical solution for y(t) may be obtained by solving an integrodifferential equation. Besides, the solution z(t) also exhibits a very interesting dynamics, and the entire system is conditioned by resonances between the particle orbit frequencies and the frequency of the magnetic transversal perturbation, ωp In this work we also discuss numerical simulations for the related particle trajectories, as well as potential applications in the context of separation phenomena. © All rights are reserved by the authors.
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spelling Charged particle dynamics in time dependent magnetic fieldsMagnetic fieldsResonancesSeparation phenomenaIn this work we study the behavior of charged particles immersed in a peculiar configuration of magnetic fields, which has a main constant field B0 and a superimposed, transversal perturbation field B1 sin(ωpt), with B1 « B0. By taking Cartesian coordinates and placing B0 along the z axis and B1 sin(ωpt) p sin ω 1 on the x axis, an analytical solution for y(t) may be obtained by solving an integrodifferential equation. Besides, the solution z(t) also exhibits a very interesting dynamics, and the entire system is conditioned by resonances between the particle orbit frequencies and the frequency of the magnetic transversal perturbation, ωp In this work we also discuss numerical simulations for the related particle trajectories, as well as potential applications in the context of separation phenomena. © All rights are reserved by the authors.Computer Science Department, São Paulo State University, São José do Rio Preto, 15054-000, SPComputer Science Department, São Paulo State University, São José do Rio Preto, 15054-000, SPUniversidade Estadual Paulista (UNESP)Machado, José Márcio [UNESP]Tsuchida, Masayoshi [UNESP]2022-04-29T07:17:20Z2022-04-29T07:17:20Z2008-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject52-56Proceedings - 10th International Workshop on Separation Phenomena in Liquids and Gases, SPLG 2008, p. 52-56.http://hdl.handle.net/11449/2277732-s2.0-84903217402Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengProceedings - 10th International Workshop on Separation Phenomena in Liquids and Gases, SPLG 2008info:eu-repo/semantics/openAccess2022-04-29T07:17:20Zoai:repositorio.unesp.br:11449/227773Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T20:32:45.460696Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Charged particle dynamics in time dependent magnetic fields
title Charged particle dynamics in time dependent magnetic fields
spellingShingle Charged particle dynamics in time dependent magnetic fields
Machado, José Márcio [UNESP]
Magnetic fields
Resonances
Separation phenomena
title_short Charged particle dynamics in time dependent magnetic fields
title_full Charged particle dynamics in time dependent magnetic fields
title_fullStr Charged particle dynamics in time dependent magnetic fields
title_full_unstemmed Charged particle dynamics in time dependent magnetic fields
title_sort Charged particle dynamics in time dependent magnetic fields
author Machado, José Márcio [UNESP]
author_facet Machado, José Márcio [UNESP]
Tsuchida, Masayoshi [UNESP]
author_role author
author2 Tsuchida, Masayoshi [UNESP]
author2_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (UNESP)
dc.contributor.author.fl_str_mv Machado, José Márcio [UNESP]
Tsuchida, Masayoshi [UNESP]
dc.subject.por.fl_str_mv Magnetic fields
Resonances
Separation phenomena
topic Magnetic fields
Resonances
Separation phenomena
description In this work we study the behavior of charged particles immersed in a peculiar configuration of magnetic fields, which has a main constant field B0 and a superimposed, transversal perturbation field B1 sin(ωpt), with B1 « B0. By taking Cartesian coordinates and placing B0 along the z axis and B1 sin(ωpt) p sin ω 1 on the x axis, an analytical solution for y(t) may be obtained by solving an integrodifferential equation. Besides, the solution z(t) also exhibits a very interesting dynamics, and the entire system is conditioned by resonances between the particle orbit frequencies and the frequency of the magnetic transversal perturbation, ωp In this work we also discuss numerical simulations for the related particle trajectories, as well as potential applications in the context of separation phenomena. © All rights are reserved by the authors.
publishDate 2008
dc.date.none.fl_str_mv 2008-01-01
2022-04-29T07:17:20Z
2022-04-29T07:17:20Z
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 Proceedings - 10th International Workshop on Separation Phenomena in Liquids and Gases, SPLG 2008, p. 52-56.
http://hdl.handle.net/11449/227773
2-s2.0-84903217402
identifier_str_mv Proceedings - 10th International Workshop on Separation Phenomena in Liquids and Gases, SPLG 2008, p. 52-56.
2-s2.0-84903217402
url http://hdl.handle.net/11449/227773
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Proceedings - 10th International Workshop on Separation Phenomena in Liquids and Gases, SPLG 2008
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 52-56
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
_version_ 1808129217595965440

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