Sign-singular behaviour of current helicity of the magnetic field of active regions on the Sun.

Physics

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Solar Magnetic Fields: Solar Active Regions, Solar Magnetic Fields: Solar Corona

Scientific paper

Using the measurements of a magnetic field vector in the photosphere of active regions (ARs), the authors have shown that well-pronounced scaling laws take place for 2D structures hc of current helicity in ARs, indicating that the signed measure obtained with hc is sign-singular, say the cancellations follow a nontrivial anomalous scaling. The cancellation exponent kh = 0.3 - 0.7 obtained is significantly larger than that for the vertical magnetic field. The linear region on the measure is well-pronounced and can be determined reliably. Sign-singularity of the signed measure obtained with hc means that at any scale (at least within the linear region of the spectrum) the dominance of current helicity of some sign takes place. This is the necessary condition for the transformation of the energy of small-scale fluctuations of the magnetic field and velocity into the energy of large-scale mean field, say the energy of large-scale DC currents in the corona.

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