Turbulent magnetic energy spectrum and the cancellation function of solar photospheric magnetic fields. Issue 9 (November 2013)

• Record Type: Journal Article
• Authors: Marschalkó, G.; Petrovay, K.; Barnaföldi, Gergely Gábor; Forgás‐Dajka, Emese; Kiss, Csaba; Verebélyi, Erika
• Is Part Of: Astronomische Nachrichten. Volume 334:Issue 9(2013)
• Page Start: 952
• Page End: 955
• Publication Date: 2013-11
• Subjects: Astronomy -- Periodicals; 520.5
• DOI: 10.1002/asna.201211968
• Languages: English
• ISSNs: 0004-6337

Abstract

<abstract abstract-type="main" xml:lang="en"> <title>Abstract</title> <p>A simple analytical relation of form <italic>α</italic> = 2<italic>κ</italic> – 1 between the magnetic energy spectral exponent <italic>α</italic> of the turbulent magnetic field in the solar photosphere and its magnetic flux cancellation exponent <italic>κ</italic>, valid under certain restrictive assumptions, is tested and extended outside its range of validity in a series of Monte Carlo simulations. In these numerical tests artificial "magnetograms" are constructed in 1D and 2D by superposing a discrete set of Fourier modes of the magnetic field distribution with amplitudes following a power law spectrum and measuring the cancellation function on these simulated magnetograms. Our results confirm the validity of the analytical relation and extend it to the domain <italic>α</italic> &lt; –1 where <italic>κ</italic> → 0 as <italic>α</italic> → –∞. The observationally derived upper limit of 0.38 on <italic>κ</italic> implies <italic>α</italic> &lt; –0.24 in the granular size range, apparently at odds with a small scale dynamo driven in the inertial range. (© 2013 WILEY‐VCH Verlag GmbH &amp; Co. KGaA, Weinheim)</p> </abstract>