Heating Distribution along Coronal Loops of an Active Region using a Simple Electrodynamic Calculation

Physics

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Scientific paper

The heating along hundreds of coronal loops of a non flaring active region is computed using a simple electrodynamic model. The random plasma displacements caused by the photospheric motions generate electric fields and, as a consequence, electric potential differences at the footpoints of loops. These potential differences generate electric currents which are the cause of Ohmic heating.
We computed the potential magnetic field extrapolation using the MDI magnetogram of the NOAA 9366 active region observed on March 6, 2001 and used the closed magnetic field lines to model the coronal loops. For each loop we compute the heating function and obtain the hydrostatic distribution of temperature and pressure.
We find that the coronal heating is stronger near the footpoints of the loops and asymmetric along them. We obtain scaling laws that relate the mean volumetric heating with the loop length, and the heating flux through the loop footpoints with the magnetic field strength at the footpoints. We simulated the emission of the hydrostatic loops in the 171 and 284 Angstroms spectral bands and compared the resulting images with EIT observations. Our results are in qualitative agreement with observations. We conclude that our model can be used as a simple working tool for the study of active regions.

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