Multifractal Analysis of Solar Magnetograms

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Scientific paper

Magnetohydrodynamic turbulence is thought to be responsible for structuring sunspot magnetic fields. Here we explore the selfsimilar and multi-scaling properties of this turbulence using multi-fractal methods. The multi-fractal spectrum was obtained from full disk Michelos Doppler Imager magnetograms, to study the relationship between magnetic field multifractality and flaring and non-flaring regions. In particular, box counting and wavelet based techniques where investigated. The discrete box counting method was found to be inadequate for these purposes, primarily due to discretization errors. Wavelet based methods, on the other hand, where found to be more stable for diagnosing turbulence in active region magnetic fields.

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