Entropy of Vlasov equilibria and Hamilton's principle (Articolo in rivista)

Type
Label
  • Entropy of Vlasov equilibria and Hamilton's principle (Articolo in rivista) (literal)
Anno
  • 1993-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1017/S002237780001730X (literal)
Alternative label
  • E. Minardi (a1) (1993)
    Entropy of Vlasov equilibria and Hamilton's principle
    in Journal of plasma physics (Online)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • E. Minardi (a1) (literal)
Pagina inizio
  • 505 (literal)
Pagina fine
  • 520 (literal)
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  • Articolo scaricabile a pagamento dal link sopra indicato (literal)
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  • http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=4753556 (literal)
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  • 50 (literal)
Rivista
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  • 3 (literal)
Note
  • ISI Web of Science (WOS) (literal)
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  • (a1) Instituto di Fisica del Plasma,Associazione EUR-ENEA-CNR Via Bassini 15, 20133 Milano, Italy. (literal)
Titolo
  • Entropy of Vlasov equilibria and Hamilton's principle (literal)
Abstract
  • The following property is shown of the entropy functional constructed in previous work and associated with a Vlasov electrostatic or magnetostatic collective equilibrium (a static solution of the Vlasov equation): the vanishing of the first variation of the functional is equivalent to Hamilton's principle applied to a Lagrangian describing motion of the underlying system of particles compatible with the collective equilibrium, provided that the variations are associated with reversible processes. This property is shown in two cases: (i) a system of particles in Coulomb interaction admitting a collective (Vlasov) equilibrium in the presence of a scalar pressure; and (ii) a system of independent electrons in a background of fixed ions subject to an external electric field and to a magnetic field (created in part by electron currents) associated with a cylindrically or toroidally symmetric equilibrium in the presence of the electron-ion friction force and an anisotropic pressure. (literal)
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