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Title: Higher-order Hamiltonian fluid reduction of Vlasov equation

From the Hamiltonian structure of the Vlasov equation, we build a Hamiltonian model for the first three moments of the Vlasov distribution function, namely, the density, the momentum density and the specific internal energy. We derive the Poisson bracket of this model from the Poisson bracket of the Vlasov equation, and we discuss the associated Casimir invariants.
Authors:
 [1] ;  [1] ;  [2] ;  [1]
  1. Aix-Marseille Université, Université de Toulon, CNRS, CPT UMR 7332, 13288 Marseille (France)
  2. Institute for Fusion Studies and Department of Physics, The University of Texas at Austin, Austin, TX 78712-1060 (United States)
Publication Date:
OSTI Identifier:
22403378
Resource Type:
Journal Article
Resource Relation:
Journal Name: Annals of Physics (New York); Journal Volume: 348; Other Information: Copyright (c) 2014 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOLTZMANN-VLASOV EQUATION; CASIMIR EFFECT; DISTRIBUTION FUNCTIONS; HAMILTONIANS; POISSON EQUATION