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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Presentation transcript:

Multi-fractality of Solar Magnetic Fields: New Progress with HMI Valentina I. Abramenko Big Bear Solar Observatory of NJIT Poster #40

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 ) ) The multifractality index, κ κ

Power Spectrum cutoff

AR Power Spectrum Index Flatness Function Index

About 1.8 days prior to a strong flare we observe a period of enhanced multi-fractality in the photosphere AR Power Spectrum Index Flatness Function Index

NOAA 10930: intermittency/multifractality in the photosphere and corona 1.3 days