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

with HMIwith HMI

Valentina I. AbramenkoBig Bear Solar Observatory of NJIT

Poster #40

Flatness function as an indicator of multifractalityFlatness function as an indicator of multifractality

Fatness F( r ) is a constant for a Gaussian variable

and grows as a power lawpower law when scale r vanishes for a multi-fractal field:

Inertial range

Scale, r

F( r ) ~ r-κ

F( r ) =S ( r ) / (S ( r ) )6

32

The multifractality index, κ

κ

Power Spectrumcutoff

AR 11166

Power Spectrum Index Flatness Function Index

About 1.8 days prior to a strong flarewe observe a period of enhanced multi-fractalityin the photosphere

AR 11158

Power Spectrum IndexFlatness FunctionIndex

NOAA 10930: intermittency/multifractality in the

photosphere and corona

1.3 days