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Titel |
A one-dimensional Vlasov-Maxwell equilibrium for the force-free Harris sheet |
VerfasserIn |
T. Neukirch, M. G. Harrison |
Konferenz |
EGU General Assembly 2009
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Medientyp |
Artikel
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Sprache |
Englisch
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Digitales Dokument |
PDF |
Erschienen |
In: GRA - Volume 11 (2009) |
Datensatznummer |
250024642
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Zusammenfassung |
The first non-linear force-free Vlasov-Maxwell equilibrium is presented. One component of
the equilibrium magnetic field has the same spatial structure as the Harris sheet, but whereas
the Harris sheet is kept in force balance by pressure gradients, in the force-free solution
presented here force balance is kept by magnetic shear. Magnetic pressure, plasma pressure
and plasma density are constant. The method used to find the equilibrium is based on the
analogy of the one-dimensional Vlasov-Maxwell equilibrium problem to the motion of a
pseudo-particle in a two-dimensional conservative potential. This potential is equivalent to
one of the diagonal components of the plasma pressure tensor. After finding the
appropriate functional form for this pressure tensor component, the corresponding
distribution functions can be found using a Fourier transform method. The force-free
solution can be generalized to a complete family of equilibria that describe the
transition between the purely pressure-balanced Harris sheet to the force-free Harris
sheet. |
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