Multiplicative cascade models of multifractal solar magnetic fields

Details Multiplicative cascade models of multifractal solar magnetic fields Multiplicative cascade models of multifractal solar magnetic fields

Jan 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995phrve..51..316l&link_type=abstract

Physical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics), Volume 51, Issue 1, January 1995

Physics

Fluid Dynamics

13

Fractals In Fluid Dynamics, Electric And Magnetic Fields, Solar Magnetism

Scientific paper

We present a multifractal analysis of digital, photoelectric images of line-of-sight magnetic fields in solar active regions and quiet photosphere. We study a positive definite measure related to the Ohmic dissipation of magnetic energy. After calculation of the multifractal spectrum directly and by scaling of the moments of the measure, we focus on a multiplicative cascade approach. We infer a scale-invariant rule by which the Ohmic dissipation measure is allocated among subsets of its support through a hierarchy of scales. Knowledge of this rule, which is hampered to some extent by image noise, permits the calculation of the multifractal spectrum to great accuracy. The scaling of the solar dissipation field resembles that of fully developed turbulence in an atmospheric boundary layer. The cascade multiplier probability distribution is itself a very useful quantity. It allows a convenient display of image properties, such as self-similarity. Further, it is more closely related than the multifractal spectrum to the physics of the turbulent field evolution, and it thus can be used to impose stronger constraints on turbulent dynamo models of magnetic field generation.

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