Implications of rapid footpoint motions of photospheric flux tubes for coronal heating

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Photosphere, Solar Corona, Solar Magnetic Field, Solar Physics, Energy Transfer, Isothermal Processes, Magnetic Flux, Mathematical Models

Scientific paper

It is argued that the photospheric footpoints of coronal magnetic field lines could have a profound impact on the heating of the quiet corona. A mathematical analysis is carried out to examine the response of a vertical thin flux tube to photospheric footpoint motions in terms of a superposition of linear kink modes for an isothermal atmosphere. The resulting total energy that is asymptotically injected into an isothermal atmosphere, i.e., an atmosphere without any back reflection, is found. Typical parameter values for fast and slow footpoint motions are used to show that, even if the footpoints spend only 2.5 percent of the time undergoing rapid motions, these rapid motions could be more efficient in transporting energy to the corona than the slow motions that take place most of the time.

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