Quasi-static evolution of a force-free magnetic field

Details Quasi-static evolution of a force-free magnetic field Quasi-static evolution of a force-free magnetic field

May 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990cophc..59...13a&link_type=abstract

Computer Physics Communications, Volume 59, Issue 1, p. 13-20.

Physics

28

Scientific paper

We consider in the half-space {z > 0} a simple-topology force-free magnetic field B embedded in a highly conducting plasma (resistivity σ) and its quasi-static evolution driven by motions imposed to the feet of its lines on the boundary {z = 0}. We first study the case when B is an x-invariant arcade, discussing in particular: (i) for σ = 0, the existence of stable equilibria corresponding to arbitrarily large shearing, and the qualitative time behaviour of the field (in particular in the limit t --> ∞) (ii) for σ ≠ 0, the possibility of a fast transition by reconnection from an arcade to a complex topology configuration having a lower energy, but the same ``distribution of magnetic fluxes''. We thus consider a fully three-dimensional field (having an ``arcade'' or a ``tube'' topology), showing in particular how it is possible to extend to that situation some of the results obtained for an x-invariant arcade when σ = 0.

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