Variational formulation of the Vlasov equation
Autor(a) principal: | |
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Data de Publicação: | 1987 |
Outros Autores: | |
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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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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7160 |
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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 |
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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 |
repository.mail.fl_str_mv |
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1799133890021949440 |