A Hierarchical Application of the Minimum Current Corona

Physics

Scientific paper

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7509 Corona, 7524 Magnetic Fields, 7529 Photosphere

Scientific paper

We study the energy and helicity injected into the corona of a photospheric quadrupole by quasi-static motion. The Minimum Current Corona (MCC) method provides a lower bound on coronal free energy by quantifying the coronal linkages between discrete photospheric source regions. A quadrupolar distribution can be modeled naturally with 4 photospheric sources. The coronal field connects the sources in 4 different ways (4 domains) and includes one separator. The energy and helicity injection into this system were explored by by Longcope and Magara (2004). The 4-source configuration can be considered the most significant element of an MCC hierarchy whereby the continuous photospheric field is represented by an increasing number of discrete sources. The numbers of linkages and separators increase with the number of sources. This hierarchy asymptotically approaches a quasi-static MHD evolution line-tied to a continuous photospheric field. We demonstrate this hierarchy using a quadrupolar example which can be compared to the results of numerical simulations of quasi-static evolution. This work is supported by NSF.

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