Cascade model of coronal heating

Mathematics

Scientific paper

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Coronal Loops, Energy Transfer, Heating, Magnetic Fields, Photosphere, Solar Corona, Cascade Flow, Fourier Transformation, Magnetostatics, Mathematical Models, Topology

Scientific paper

It is suggested that the quasi-static evolution of coronal magnetic structures is characterized by a cascade of magnetic energy to smaller length scales. This cascade process takes place on a time scale tb determined entirely by the photospheric motions. The Ohmic heating rate EH in the statistically stationary state was estimated using observational data on the diffusivity of photospheric motions; EH turned out to be too small by a factor of 40 when compared with observed coronal energy losses. However, given the fact that the theoretical estimate is based on a rather uncertain extrapolation to the diffusive regime, current heating cannot be ruled out as a viable mechanism of coronal heating.

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