The Maximum Entropy Limit of Small-scale Magnetic Field Fluctuations in the Quiet Sun

A. Y. Gorobets, S. V. Berdyugina, T. L. Riethmüller, J. Blanco Rodriguez, S. K. Solanki, P. Barthol, A. Gandorfer, Laurent Gizon, J. Hirzberger, M. Van Noort, J. C. Del Toro Iniesta, D. Orozco Suárez, W. Schmidt, V. Martinez Pillet, M. Knölker

Research output: Contribution to journalArticle

Abstract

The observed magnetic field on the solar surface is characterized by a very complex spatial and temporal behavior. Although feature-tracking algorithms have allowed us to deepen our understanding of this behavior, subjectivity plays an important role in the identification and tracking of such features. In this paper, we continue studies of the temporal stochasticity of the magnetic field on the solar surface without relying either on the concept of magnetic features or on subjective assumptions about their identification and interaction. We propose a data analysis method to quantify fluctuations of the line-of-sight magnetic field by means of reducing the temporal field's evolution to the regular Markov process. We build a representative model of fluctuations converging to the unique stationary (equilibrium) distribution in the long time limit with maximum entropy. We obtained different rates of convergence to the equilibrium at fixed noise cutoff for two sets of data. This indicates a strong influence of the data spatial resolution and mixing-polarity fluctuations on the relaxation process. The analysis is applied to observations of magnetic fields of the relatively quiet areas around an active region carried out during the second flight of the Sunrise/IMaX and quiet Sun areas at the disk center from the Helioseismic and Magnetic Imager on board the Solar Dynamics Observatory satellite.

Original languageEnglish (US)
Article number5
JournalAstrophysical Journal, Supplement Series
Volume233
Issue number1
DOIs
StatePublished - Nov 1 2017

Fingerprint

entropy
sun
magnetic field
magnetic fields
sunrise
helioseismology
Markov processes
stochasticity
line of sight
polarity
observatories
spatial resolution
cut-off
observatory
flight
interactions

Keywords

  • Convection
  • granulation
  • magnetic fields
  • photosphere
  • Sun
  • Sun
  • Sun

ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Space and Planetary Science

Cite this

Gorobets, A. Y., Berdyugina, S. V., Riethmüller, T. L., Rodriguez, J. B., Solanki, S. K., Barthol, P., ... Knölker, M. (2017). The Maximum Entropy Limit of Small-scale Magnetic Field Fluctuations in the Quiet Sun. Astrophysical Journal, Supplement Series, 233(1), [5]. https://doi.org/10.3847/1538-4365/aa8ef8

The Maximum Entropy Limit of Small-scale Magnetic Field Fluctuations in the Quiet Sun. / Gorobets, A. Y.; Berdyugina, S. V.; Riethmüller, T. L.; Rodriguez, J. Blanco; Solanki, S. K.; Barthol, P.; Gandorfer, A.; Gizon, Laurent; Hirzberger, J.; Noort, M. Van; Del Toro Iniesta, J. C.; Suárez, D. Orozco; Schmidt, W.; Pillet, V. Martinez; Knölker, M.

In: Astrophysical Journal, Supplement Series, Vol. 233, No. 1, 5, 01.11.2017.

Research output: Contribution to journalArticle

Gorobets, AY, Berdyugina, SV, Riethmüller, TL, Rodriguez, JB, Solanki, SK, Barthol, P, Gandorfer, A, Gizon, L, Hirzberger, J, Noort, MV, Del Toro Iniesta, JC, Suárez, DO, Schmidt, W, Pillet, VM & Knölker, M 2017, 'The Maximum Entropy Limit of Small-scale Magnetic Field Fluctuations in the Quiet Sun', Astrophysical Journal, Supplement Series, vol. 233, no. 1, 5. https://doi.org/10.3847/1538-4365/aa8ef8
Gorobets AY, Berdyugina SV, Riethmüller TL, Rodriguez JB, Solanki SK, Barthol P et al. The Maximum Entropy Limit of Small-scale Magnetic Field Fluctuations in the Quiet Sun. Astrophysical Journal, Supplement Series. 2017 Nov 1;233(1). 5. https://doi.org/10.3847/1538-4365/aa8ef8
Gorobets, A. Y. ; Berdyugina, S. V. ; Riethmüller, T. L. ; Rodriguez, J. Blanco ; Solanki, S. K. ; Barthol, P. ; Gandorfer, A. ; Gizon, Laurent ; Hirzberger, J. ; Noort, M. Van ; Del Toro Iniesta, J. C. ; Suárez, D. Orozco ; Schmidt, W. ; Pillet, V. Martinez ; Knölker, M. / The Maximum Entropy Limit of Small-scale Magnetic Field Fluctuations in the Quiet Sun. In: Astrophysical Journal, Supplement Series. 2017 ; Vol. 233, No. 1.
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