Please use this identifier to cite or link to this item: http://hdl.handle.net/10316/40854
Title: Variational formulation of the Vlasov equation
Authors: Providência, João da 
Fiolhais, Carlos 
Keywords: Vlasov equation
Issue Date: 1987
Publisher: Institute of Physics
Citation: 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.
Serial title, monograph or event: Journal of physics. A : Mathematical and Theoretical.
Volume: 20
Place of publication or event: Bristol
Abstract: 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.
URI: http://hdl.handle.net/10316/40854
ISSN: 1751-8113
DOI: 10.1088/0305-4470/20/12/034
Rights: openAccess
Appears in Collections:FCTUC Física - Artigos em Revistas Internacionais

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