Probing coronal heating with X-ray variability of solar and stellar coronae

Mathematics – Probability

Scientific paper

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Scientific paper

If mechanism responsible for creating hot solar and stellar coronae is a magnetic one, the resulting coronal heating events are likely to be highly fragmented in space and in time. This makes the nanoflare heating scenario, where both these features are at the heart of the concept, a strong candidate. The major problem is to find out how to test this theory while individual nanoflares remain beoynd observational recognition. Here, we discuss a possibility of probing nanoflares with variabiiy in the coronal X-ray emission. We present results of numerical simulation of X-ray coronal loops by using a Monte Carlo code that mimics a sporadic nature of the nanoflare heating. The aim is to investigate how the imposed power-law energy spectrum of heating events (nanoflares) translates into fluctuations in the intensity of the X-ray emission, which can be detected observationally as X-ray and EUV brightenings. It was found that probability distribution of these fluctuations is very sensitive to the power-law index ( of the energy spectrum of nanoflares. If ( ( 3, intensity fluctuations have a noise-like nature with a Gaussian distribution that originates from interference of many small nanoflares. For spectral indices 2 ( ( ( 3, histograms of the intensity deviation from the mean value show positive skewness that indicates a significant role of bigger events. These theoretical predictions are compared with recently reported analysis of observed fluctuations in solar and stellar coronal X-ray intensity, and we discuss their implications on the deduced energy and spectrum of nanoflares.

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