期刊
PHYSICS OF PLASMAS
卷 16, 期 2, 页码 -出版社
AIP Publishing
DOI: 10.1063/1.3077307
关键词
Maxwell equations; plasma kinetic theory; plasma pressure; Vlasov equation
资金
- STFC [PP/E001122/1] Funding Source: UKRI
- Science and Technology Facilities Council [PP/E001122/1] Funding Source: researchfish
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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