Variational formulation of the Vlasov equation

Bibliographic Details
Main Author: Providência, João da
Publication Date: 1987
Other Authors: Fiolhais, Carlos
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: https://hdl.handle.net/10316/40854
https://doi.org/10.1088/0305-4470/20/12/034
Summary: 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/articlehttps://hdl.handle.net/10316/40854https://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:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2020-05-29T09:42:13Zoai:estudogeral.uc.pt:10316/40854Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-29T05:22:02.632527Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
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 https://hdl.handle.net/10316/40854
https://hdl.handle.net/10316/40854
https://doi.org/10.1088/0305-4470/20/12/034
url https://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:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
_version_ 1833602332379578368

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