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Abstract
The conditions for the existence of forcefree nonrelativistic translationally invariant onedimensional (1D) VlasovMaxwell (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 forcefree 1D VM equilibria is formulated. It is shown that linear forcefree 1D VM solutions, which so far are the only forcefree 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.
Original language  English 

Article number  022106 
Number of pages  9 
Journal  Physics of Plasmas 
Volume  16 
Issue number  2 
DOIs  
Publication status  Published  Feb 2009 
Keywords
 Maxwell equations
 Plasma kinetic theory
 Plasma pressure
 Vlasov equation
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 1 Finished

Solar&Magnetospheric Plasma Theory PP/E1: Solar and Magnetospheric Plasma Theory
Neukirch, T., Hood, A. W., Parnell, C. E., Priest, E., Roberts, B. & Wright, A. N.
1/04/07 → 31/03/12
Project: Standard