Physics – Fluid Dynamics
Scientific paper
Sep 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984gapfd..30...79b&link_type=abstract
Geophysical and Astrophysical Fluid Dynamics (ISSN 0309-1929), vol. 30, Sept. 1984, p. 79-104.
Physics
Fluid Dynamics
194
Energy Dissipation, Helical Flow, Magnetic Field Configurations, Solar Corona, Solar Magnetic Field, Diffusion Coefficient, Magnetoresistivity
Scientific paper
The Cauchy-Schwarz inequality is employed to find geometry-independent limits on the magnetic helicity dissipation rate in a resistive plasma. These limits only depend upon the total energy of the plasma, the energy dissipation rate, and a mean diffusion coefficient. For plasmas isolated from external energy sources, limits can also be set on the minimum time necessary to dissipate a net amount of helicity. As evaluated in the context of a solar coronal loop, these limits strongly suggest that helicity decay occurs on a diffusion timescale which is far too great to be relevant to most coronal processes. Furthermore, rapid reconnection is likely to approximately conserve magnetic helicity. The difficulties involved in determining the free energy residing in a magnetic structure (given the constraint of magnetic helicity conservation) are discussed.
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