Empirical view of magnetoconvection

Mathematics – Probability

Scientific paper

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Sun, Magnetic Fields, Convection

Scientific paper

Solar magnetic fields have a fractal-like structure with a considerable degree of self-similarity over a large dynamic range. The probability distribution functions (PDF) of the magnetic field on global scales with active regions and sunspots are compared with the PDF on small scales in a quiet region at disk center and are found to be remarkably similar both in shape and quantitative spread on the field strength values. The shape of the PDF can be well represented by a Voigt function with a "Doppler core" and extended damping wings. There is no sign that the self-similarity would disappear at the scales near the diffraction limit of current telescopes (Which also represents the approximate transition between the optically thin and thick regimes). The empirical PDFs are compared with results of numerical simulations of magnetoconvection. We finally discuss how the PDFs help us to establish a new interpretative framework for Zeeman and Hanle diagnostics.

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