TITLE

Some remarks on one-dimensional force-free Vlasov–Maxwell equilibria

AUTHOR(S)
Harrison, M. G.; Neukirch, T.
PUB. DATE
February 2009
SOURCE
Physics of Plasmas;Feb2009, Vol. 16 Issue 2, pN.PAG
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
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.
ACCESSION #
36810455

 

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