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24 April 2024
 
  » arxiv » 1505.5974

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Photospheric Electric Fields and Energy Fluxes in the Eruptive Active Region NOAA 11158
Maria D. Kazachenko ; George H. Fisher ; Brian T. Welsch ; Yang Liu ; Xudong Sun ;
Date 22 May 2015
AbstractHow much electromagnetic energy crosses the photosphere in evolving solar active regions? With the advent of high-cadence vector magnetic field observations, addressing this fundamental question has become tractable. In this paper, we apply the "PTD-Doppler-FLCT-Ideal" (PDFI) electric field inversion technique of Kazachenko et al. (2014) to a 6-day HMI/SDO vector magnetogram and Doppler velocity sequence, to find the electric field and Poynting flux evolution in NOAA active region 11158, which produced an X2.2 flare early on 2011 February 15. We find photospheric electric fields ranging up to $1.5$ V/cm. The Poynting fluxes range up to $2 imes10^{10}$ ergs$cdot$cm$^{-2}$s$^{-1}$ with mean values around $10^8$-$10^9$ ergs$cdot$cm$^{-2}$s$^{-1}$. Integrating the instantaneous energy flux over space and time, we find that the total magnetic energy accumulated above the photosphere from emergence to the moment before the X2.2 flare to be $E=10.6 imes10^{32}$ ergs, which is partitioned as $2.0 imes10^{32}$ ergs and $8.6 imes10^{32}$ ergs, respectively, between free and potential energies. Those estimates are consistent with estimates from pre-flare non-linear force-free field (NLFFF) extrapolations and the Minimum Current Corona estimates (MCC), in spite of our very different approach. This study of photospheric electric fields demonstrates the potential of the PDFI approach for estimating Poynting fluxes and opens the door to more quantitative studies of the solar photosphere and more realistic data-driven simulations of coronal magnetic field evolution.
Source arXiv, 1505.5974
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