Coronal heating by reconnection in DC current systems - A theory based on Taylor's hypothesis

Details Coronal heating by reconnection in DC current systems - A theory based on Taylor's hypothesis Coronal heating by reconnection in DC current systems - A theory based on Taylor's hypothesis

Aug 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984a%26a...137...63h&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 137, no. 1, Aug. 1984, p. 63-78.

Astronomy and Astrophysics

Astrophysics

222

Coronal Loops, Solar Corona, Stellar Coronas, Atmospheric Heating, Direct Current, Solar Flares, Solar Magnetic Field, Stellar Magnetic Fields, Stellar Models

Scientific paper

The rate of coronal heating expected from complex reconnection processes is analyzed by adapting Taylor's hypothesis to solar and stellar physical conditions. The fact that the magnetic helicity of a region which is not a closed flux tube is not a gauge-invariant quantity is addressed, and the time evolution of a magnetic arcade undergoing slow footpoint motions and infinitely rapid relaxation by reconnection is calculated. It is shown that, when the stresses are relaxed instantaneously the amount of heating vanishes exactly. A second order theory is developed which permits the heating effect due to a small but finite reconnection time to be calculated. It is concluded that DC current coronal heating is mainly due to motions comparable in size to or smaller than the characteristic size of the magnetic structure, and that these motions must tend to produce a nonconstant alpha force-free magnetic structure. The theory illuminates the connection between general coronal heating and solar flares.

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