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

DOI: 
10.3847/1538-4365/aa8ef8
Publication date: 
01/11/2017
Main author: 
Gorobets, A. Y.
IAA authors: 
Del Toro Iniesta, J. C.;Orozco Suárez, D.
Authors: 
Gorobets, A. Y.;Berdyugina, S. V.;Riethmüller, T. L.;Blanco Rodríguez, J.;Solanki, S. K.;Barthol, P.;Gandorfer, A.;Gizon, L.;Hirzberger, J.;van Noort, M.;Del Toro Iniesta, J. C.;Orozco Suárez, D.;Schmidt, W.;Martínez Pillet, V.;Knölker, M.
Journal: 
The Astrophysical Journal Supplement Series
Refereed: 
Yes
Publication type: 
Article
Volume: 
233
Pages: 
5
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.

Database: 
ADS
SCOPUS
URL: 
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85035335786&doi=10.3847%2f1538-4365%2faa8ef8&partnerID=40&md5=f3b620ef830cf71d52353695ae40c43a
ADS Bibcode: 
2017ApJS..233....5G
Keywords: 
convection;Sun: granulation;Sun: magnetic fields;Sun: photosphere