Statistical Correlation between Photospheric Magnetic Fields and Coronal Soft X-ray Brightness

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Changyi Tan, Ju Jing, Hui Song, & Haimin WangCenter for Solar Research, New Jersey Institute of Technology, Newark, NJ 07102In order to examine the role of photospheric magnetic fields in heating the solar corona, a sample of 155 photospheric magnetic sources with a variety of sizes and complexity have been studied. The coronal X-ray brightness LX and three photospheric magnetic measures for each region were obtained from co-registered single-frame desaturated (SFD) composite images from Yohkoh Soft X-ray Telescope (SXT) and line-of-sight magnetograms from Michelson Doppler Imager (MDI). These magnetic measures are: (1) the mean magnetic gradient along neutral lines LGNL, (2) the magnetic energy dissipation in a unit layer per unit time ɛ(Bz), and (3) the unsigned line-of-sight magnetic flux Φavg. Each of the measures and coronal X-ray brightness were parameterized in both extensive (integrated) and intensive (average) form. Evident correlations were found with linear correlation coefficients of 0.5-0.9 between three parameters and coronal soft X-ray brightness. In particular, unsigned magnetic flux shows the most significant correlation compared to other two parameters. We therefore conclude that the total magnetic flux and mean flux density is more critical to coronal heating than the magnetic non-potentiality.

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