Variational formulation of the Vlasov equation

Detalhes bibliográficos
Autor(a) principal: Providência, João da
Data de Publicação: 1987
Outros Autores: Fiolhais, Carlos
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/40854
https://doi.org/10.1088/0305-4470/20/12/034
Resumo: A new variational framework for the Liouville equation is presented. The Vlasov equation is obtained from the complete factorisation of the trial distribution function, while the linearised Vlasov equation arises from the additional assumption of small oscillations around an equilibrium state. It is stressed that the definition of this state does not necessarily require minimisation of the free energy. The classical energy-weighted sum rule is derived.
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spelling Variational formulation of the Vlasov equationVlasov equationA new variational framework for the Liouville equation is presented. The Vlasov equation is obtained from the complete factorisation of the trial distribution function, while the linearised Vlasov equation arises from the additional assumption of small oscillations around an equilibrium state. It is stressed that the definition of this state does not necessarily require minimisation of the free energy. The classical energy-weighted sum rule is derived.Institute of Physics1987info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/40854http://hdl.handle.net/10316/40854https://doi.org/10.1088/0305-4470/20/12/034engPROVIDÊNCIA, João da ; FIOLHAIS, Carlos – Variational formulation of the Vlasov equation. Journal of Physics. A : Mathematical and Theoretical. Bristol : Institute of Physics. ISSN 1751-8113. Vol. 20 (1987), p. 3877-3886.1751-8113Providência, João daFiolhais, Carlosinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2020-05-29T09:42:13Zoai:estudogeral.uc.pt:10316/40854Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:59:58.288215Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Variational formulation of the Vlasov equation
title Variational formulation of the Vlasov equation
spellingShingle Variational formulation of the Vlasov equation
Providência, João da
Vlasov equation
title_short Variational formulation of the Vlasov equation
title_full Variational formulation of the Vlasov equation
title_fullStr Variational formulation of the Vlasov equation
title_full_unstemmed Variational formulation of the Vlasov equation
title_sort Variational formulation of the Vlasov equation
author Providência, João da
author_facet Providência, João da
Fiolhais, Carlos
author_role author
author2 Fiolhais, Carlos
author2_role author
dc.contributor.author.fl_str_mv Providência, João da
Fiolhais, Carlos
dc.subject.por.fl_str_mv Vlasov equation
topic Vlasov equation
description A new variational framework for the Liouville equation is presented. The Vlasov equation is obtained from the complete factorisation of the trial distribution function, while the linearised Vlasov equation arises from the additional assumption of small oscillations around an equilibrium state. It is stressed that the definition of this state does not necessarily require minimisation of the free energy. The classical energy-weighted sum rule is derived.
publishDate 1987
dc.date.none.fl_str_mv 1987
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10316/40854
http://hdl.handle.net/10316/40854
https://doi.org/10.1088/0305-4470/20/12/034
url http://hdl.handle.net/10316/40854
https://doi.org/10.1088/0305-4470/20/12/034
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv PROVIDÊNCIA, João da ; FIOLHAIS, Carlos – Variational formulation of the Vlasov equation. Journal of Physics. A : Mathematical and Theoretical. Bristol : Institute of Physics. ISSN 1751-8113. Vol. 20 (1987), p. 3877-3886.
1751-8113
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Institute of Physics
publisher.none.fl_str_mv Institute of Physics
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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