Fractal analysis of the vortical structure of magnetic fields on the Sun

Astronomy and Astrophysics – Astronomy

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Scientific paper

We have detected scale invariance of the current helicity H_c = B_z . (nabla x B)_z of the photospheric magnetic field in 20 solar active regions. This indicates that the vortical field structure has a fractal nature. The scal- ing exponents of the signed measure of the current helicity are different in the leading and following parts of large bipolar active regions. The helicity is scale invariant from about 15 000 km to the resolution limit of about 1000 km, suggesting that scale-to-scale energy transport can take place, at least within this range. Two to three hours prior to a strong flare, the scaling exponent k_h begins to decrease, a property that can be used to predict strong flares.

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