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Title:
Some remarks on one-dimensional force-free Vlasov-Maxwell equilibria
Authors:
Harrison, M. G.; Neukirch, T.
Affiliation:
School of Mathematics and Statistics, University of St. Andrews, St. Andrews KY16 9SS, United Kingdom
Publication:
Physics of Plasmas, Volume 16, Issue 2, pp. 022106-022106-9 (2009). (PhPl Homepage)
Publication Date:
02/2009
Origin:
AIP
PACS Keywords:
Magnetic confinement and equilibrium, Fokker-Planck and Vlasov equation, Plasma kinetic equations, Magnetized plasmas
Abstract Copyright:
(c) 2009: American Institute of Physics
DOI:
10.1063/1.3077307
Bibliographic Code:
2009PhPl...16b2106H

Abstract

The conditions for the existence of force-free nonrelativistic translationally invariant one-dimensional (1D) Vlasov-Maxwell (VM) equilibria are investigated using general properties of the 1D VM equilibrium problem. As has been shown before, the 1D VM equilibrium equations are equivalent to the motion of a pseudoparticle in a conservative pseudopotential, with the pseudopotential being proportional to one of the diagonal components of the plasma pressure tensor. The basic equations are here derived in a way different from previous work. Based on this theoretical framework, a necessary condition on the pseudopotential (plasma pressure) to allow for force-free 1D VM equilibria is formulated. It is shown that linear force-free 1D VM solutions, which so far are the only force-free 1D VM solutions known, correspond to the case where the pseudopotential is an attractive central potential. A general class of distribution functions leading to central pseudopotentials is discussed.
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