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Title: A Hamiltonian fluid-kinetic model for a two-species non-neutral plasma

A model for describing the dynamics of a pure electron plasma in the presence of a population of massive charged particles is presented. The model couples the fluid dynamics of the pure electron plasma with the dynamics of the massive particle population, the latter being treated kinetically. The model is shown to possess a noncanonical Hamiltonian structure and to preserve invariants analogous to those of the two-dimensional (2D) Euler equation for an incompressible inviscid fluid, and of the Vlasov equation. The Hamiltonian structure of the model is used to derive a set of stability conditions for rotating coherent structures of the two-species system, in the case of negatively charged massive particles. According to these conditions, stability is attained if both the equilibrium distribution function of the kinetic species and the equilibrium density of the electron fluid are monotonically decreasing functions of the corresponding single-particle energies in the rotating frame. For radially confined equilibria near the axis, the stability condition corresponds to the existence of a finite interval of rotation frequencies for the reference frame, with the upper bound determined by the presence of the kinetic population.
Authors:
;  [1] ;  [2]
  1. Aix-Marseille Université, Université de Toulon, CNRS CPT UMR 7332, 13288 Marseille (France)
  2. INFN Sezione di Milano and Dipartimento di Fisica, Università degli Studi di Milano, Via Celoria 16, I-20133 Milano (Italy)
Publication Date:
OSTI Identifier:
22253124
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 21; Journal Issue: 4; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; BOLTZMANN-VLASOV EQUATION; CHARGED PARTICLES; DISTRIBUTION FUNCTIONS; ELECTRONS; EQUILIBRIUM; FLUIDS; HAMILTONIANS; PLASMA; STABILITY