Multi-fractality of Solar Magnetic Fields: New Progress with HMI

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Multi-fractality of Solar Magnetic Fields New
Progress with HMI
Poster 40

• Valentina I. Abramenko
• Big Bear Solar Observatory of NJIT

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Flatness function as an indicator of
multifractality
Inertial range

Fatness F( r ) is a constant for a Gaussian
variable and grows as a power law when scale r
vanishes for a multi-fractal field

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The multifractality index, ?
Scale, r
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AR 11166
Power Spectrum Index
Flatness Function Index
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AR 11158
Power Spectrum Index
About 1.8 days prior to a strong flare we observe
a period of enhanced multi-fractality in the
photosphere
Flatness Function Index
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NOAA 10930 intermittency/multifractality in the
photosphere and corona
1.3 days