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Multi-fractality of Solar Magnetic Fields: New Progress with HMI Valentina I. Abramenko Big Bear Solar Observatory of NJIT Poster #40
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Flatness function as an indicator of multifractality Flatness function as an indicator of multifractality Fatness F( r ) is a constant for a Gaussian variable power law and grows as a power law when scale r vanishes for a multi-fractal field: Inertial range Scale, r F( r ) ~ r -κ-κ F( r ) =S ( r ) / (S ( r ) ) 6 3 2 The multifractality index, κ κ
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Power Spectrum cutoff
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AR 11166 Power Spectrum Index Flatness Function Index
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About 1.8 days prior to a strong flare we observe a period of enhanced multi-fractality in the photosphere AR 11158 Power Spectrum Index Flatness Function Index
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NOAA 10930: intermittency/multifractality in the photosphere and corona 1.3 days
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