Pair separation of magnetic elements in the quiet Sun

Abstract

The dynamic properties of the quiet Sun photosphere can be investigated by analyzing the pair dispersion of small-scale magnetic fields (i.e., magnetic elements). By using $25$ hr-long Hinode magnetograms at high spatial resolution ($0".3$), we tracked $68,490$ magnetic element pairs within a supergranular cell near the disk center. The computed pair separation spectrum, calculated on the whole set of particle pairs independently of their initial separation, points out what is known as a super-diffusive regime with spectral index $\gamma =1.55\pm 0.05$, in agreement with the most recent literature, but extended to unprecedented spatial and temporal scales (from granular to supergranular). Furthermore, for the first time, we investigated here the spectrum of the mean square displacement of pairs of magnetic elements, depending on their initial separation $r_0$. We found that there is a typical initial distance above (below) which the pair separation is faster (slower) than the average. A possible physical interpretation of such a typical spatial scale is also provided.

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Cited by in corpus (8)

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• Supergranular turbulence in a quiet Sun: Lagrangian coherent structures
• Dynamics of internetwork chromospheric fibrils: Basic properties and MHD kink waves
• Super-diffusion versus competitive advection: a simulation
• Analysis of quiet-sun turbulence on the basis of SDO/HMI and Goode Solar Telescope data
• Dispersion of the solar magnetic flux in undisturbed photosphere as derived from SDO/HMI data
• Dispersion of small magnetic elements inside active regions on the Sun
• Texture of average solar photospheric flows and the donut-like pattern