Normal incidence X-ray telescope power spectra of X-ray emission from solar active regions. I - Observations. II - Theory

Mathematics – Logic

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Magnetohydrodynamic Turbulence, Power Spectra, Solar Activity, Solar Corona, Solar X-Rays, X Ray Telescopes, Fourier Analysis, Spatial Distribution, Stellar Models

Scientific paper

Fourier analysis is applied to very high resolution image of coronal active regions obtained by the Normal Incidence X-Ray Telescope is used to find a broad isotropic power-law spectrum of the spatial distribution of soft X-ray intensities. Magnetic structures of all sizes are present down to the resolution limit of the instrument. Power spectra for the X-ray intensities of a sample of topologically different active regions are found which fall off with increasing wavenumber as 1/k-cubed. A model is presented that relates the basic features of coronal magnetic fluctuations to the subphotospheric hydrodynamic turbulence that generates them. The model is used to find a theoretical power spectrum for the X-ray intensity which falls off with increasing wavenumber as 1/k-cubed. The implications of a turbulent regime in active regions are discussed.

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