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

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dc.creatorHarrison, Michael G.
dc.creatorNeukirch, Thomas
dc.date2008-11-27
dc.date2009-01-13
dc.date.accessioned2026-07-07T12:46:05Z
dc.date.available2026-07-07T12:46:05Z
dc.descriptionThe conditions for the existence of force-free non-relativistic 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 pseudo-particle in a conservative pseudo-potential, with the pseudo-potential being proportional to one of the diagonal components of the plasma pressure tensor. The basic equations are here derived in a different way to previous work. Based on this theoretical framework, a necessary condition on the pseudo-potential (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 pseudo-potential is an attractive central potential. A general class of distribution functions leading to central pseudo-potentials is discussed.
dc.descriptionPhysics of Plasmas, accepted
dc.identifierhttps://arxiv.org/abs/0811.4604
dc.identifierhttp://arxiv.org/abs/0811.4604
dc.identifierPhys. Plasmas 16, 022106 (2009)
dc.identifierdoi:10.1063/1.3077307
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221263
dc.subjectPlasma Physics
dc.titleSome remarks on one-dimensional force-free Vlasov-Maxwell equilibria
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