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https://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: | https://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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| File | Description | Size | Format | |
|---|---|---|---|---|
| J_da_Providencia_1987_J._Phys._A%3A_Math._Gen._20_034.pdf | 500.8 kB | Adobe PDF | View/Open |
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