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Potential Magnetic Field around a Helical Flux Rope Current Structure in the Solar Corona
Author(s) -
G. J. D. Petrie
Publication year - 2007
Publication title -
the astrophysical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.376
H-Index - 489
eISSN - 1538-4357
pISSN - 0004-637X
DOI - 10.1086/513456
Subject(s) - rope , physics , current sheet , magnetic flux , magnetic field , writhe , flux (metallurgy) , current (fluid) , field line , magnetic reconnection , solar prominence , kink instability , magnetohydrodynamics , coronal mass ejection , astrophysics , classical mechanics , twist , geometry , solar wind , quantum mechanics , materials science , structural engineering , engineering , metallurgy , thermodynamics , mathematics
We consider the potential magnetic field associated with a helical electricline current flow, idealizing the near-potential coronal field within which ahighly localized twisted current structure is embedded. It is found that thisfield has a significant axial component off the helical magnetic axis wherethere is no current flow, such that the flux winds around the axis. The helicalline current field, in including the effects of flux rope writhe, is thereforemore topologically complex than straight line and ring current fields sometimesused in solar flux rope models. The axial flux in magnetic fields aroundconfined current structures may be affected by the writhe of these currentstructures such that the field twists preferentially with the same handednessas the writhe. This property of fields around confined current structures withwrithe may be relevant to classes of coronal magnetic flux rope, includingstructures observed to have sigmoidal forms in soft X-rays and prominencemagnetic fields. For example, ``bald patches'' and the associated heating byParker current sheet dissipation seem likely. Thus some measurements of fluxrope magnetic helicities may derive from external, near-potential fields. Thepredicted hemispheric preference for positive and negative magnetic helicitiesis consistent with observational results for prominences and sigmoids and pasttheoretical results for flux rope internal fields.Comment: To appear in ApJ May 200

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