Free Magnetic Energy and Flare Productivity of Active Regions

Statistics – Computation

Scientific paper

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Scientific paper

We study the magnitude scaling correlation between coronal free magnetic energy and flare productivity of active regions. The vector magnetograms from Hinode are used as the boundary conditions to extrapolate the 3-dimensional nonlinear force-free (NLFF) coronal magnetic fields and the potential fields. Free magnetic energy of NLFF fields is calculated as the excess magnetic energy above the potential fields over the volume of the computational box. For each active region, we select one vector magnetogram in which the active region is viewed as close to the disk center as possible. The flare productivity of active regions is quantified by the soft X-ray flare index for two different time windows: one covers the entire disk passage of active regions, the other covers 3 days starting from the time of the analyzed magnetogram. Based on the limited samples we have studied so far, we find a positive correlation between free energy and flare index. The correlation confirms the physical link between the quantities and carries important statistical information for the flare forecasting.
The work is supported by NSF under grant ATM 07-16950 and NASA under grant NNX08AQ89G.

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