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Catastrophe versus instability for the eruption of a toroadal solar magnetic flux

  • The onset of a solar eruption is formulated here as either a magnetic catastrophe or as an instability. Both start with the same equation of force balance governing the underlying equilibria. Using a toroidal flux rope in an external bipolar or quadrupolar field as a model for the current-carrying flux, we demonstrate the occurrence of a fold catastrophe by loss of equilibrium for several representative evolutionary sequences in the stable domain of parameter space. We verify that this catastrophe and the torus instability occur at the same point; they are thus equivalent descriptions for the onset condition of solar eruptions.

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Author details:Bernhard KliemORCiDGND, J. Lin, T. G. Forbes, E. R. Priest, T. Toeroek
DOI:https://doi.org/10.1088/0004-637X/789/1/46
ISSN:0004-637X
ISSN:1538-4357
Title of parent work (English):The astrophysical journal : an international review of spectroscopy and astronomical physics
Publisher:IOP Publ. Ltd.
Place of publishing:Bristol
Publication type:Article
Language:English
Year of first publication:2014
Publication year:2014
Release date:2017/03/27
Tag:Sun: corona; Sun: coronal mass ejections (CMEs); Sun: filaments, prominences; Sun: flares; Sun: magnetic fields; magnetohydrodynamics (MHD)
Volume:789
Issue:1
Number of pages:13
Funding institution:Chinese Academy of Sciences [2012T1J0017]; DFG; STFC; NSF; 973 Program [2013CB815103, 2011CB811403]; NSFC [11273055, 11333007]; CAS
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Peer review:Referiert
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