A Hierarchical Application of the Minimum Current Corona

Astronomy and Astrophysics – Astronomy

Scientific paper

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Magnetohydrodynamics: Mhd, Sun: Corona

Scientific paper

We study the energy and helicity injected into the corona by the slow motion of photospheric source regions. A previous study compared these quantities in a simple quadrupolar configuration modeled by a quasi-static, line-tied MHD simulation and a minimum current corona (MCC). The MCC provides a lower bound for the coronal magnetic free energy by quantifying the coronal linkages (flux domains) between discrete photospheric source regions; the chosen configuration contains four flux domains and one separator. The MCC analysis can be extended by decomposing each source region into smaller ones, increasing the number of flux domains and separators. This creates a hierarchy of topological features that asymptotically approaches a line-tied model. We demonstrate the hierarchical approach using two octopolar decompositions of the previously studied quadrupole. One of these has helicity and free energy significantly closer to those of the line-tied experiment; this is primarily due to the interweaving of lower level flux domains approximating the self-helicity of a rotating region. The other decomposition does not allow such interweaving and has helicity and free energy comparable to the quadrupolar MCC configuration.

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