A solar coronal heating model: multi-energy relaxation events

Computer Science

Scientific paper

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Solar Coronal Heating

Scientific paper

A coronal heating model is proposed which predicts heating by a series of events of various energies, analogous to flares and the often discussed "nanoflares". We suggest that an energy release event occurs when a field becomes unstable to ideal MHD modes, with dissipation during the nonlinear phase of such an instability due to fine-scale structures such as current sheets. The energy release during this complex dynamic period can be evaluated by assuming the field relaxes to a minimum energy state subject to the constraint of helicity conservation. A model problem is studied: a cylindrical coronal loop, with a current profile generated by slow twisting of the photospheric footpoints parametrised by two values of α (the ratio of current density to field strength). Different initial α profiles, corresponding to different footpoint twisting profiles, lead to energy release events of a wide range of magnitudes.

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