Hamiltonian structure of reduced fluid models for plasmas obtained from a kinetic description - Équipe Systèmes dynamiques : théories et applications Accéder directement au contenu
Article Dans Une Revue Physics Letters A Année : 2012

Hamiltonian structure of reduced fluid models for plasmas obtained from a kinetic description

Résumé

We consider the Hamiltonian structure of reduced fluid models obtained from a kinetic description of collisionless plasmas by Vlasov-Maxwell equations. We investigate the possibility of finding Poisson subalgebras associated with fluid models starting from the Vlasov-Maxwell Poisson algebra. In this way, we show that the only possible Poisson subalgebra involves the moments of zeroth and first order of the Vlasov distribution, meaning the fluid density and the fluid velocity. We find that the bracket derived in [Phys. Rev. Lett. 93, 175002 (2004)] which involves moments of order 2 is not a Poisson bracket since it does not satisfy the Jacobi identity.
Fichier principal
Vignette du fichier
Texte_v3.pdf (128.27 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00689111 , version 1 (19-04-2012)

Identifiants

Citer

Loïc de Guillebon, Cristel Chandre. Hamiltonian structure of reduced fluid models for plasmas obtained from a kinetic description. Physics Letters A, 2012, 376 (45), pp.3172. ⟨10.1016/j.physleta.2012.07.031⟩. ⟨hal-00689111⟩
190 Consultations
70 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More