Size Distributions of Solar Flares and Active Region Types

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

The distribution of sizes of solar flares follows a power-law with a negative index slightly less than 2, when sizes are measured in various quantities such as peak soft X-ray intensity, peak hard X-ray intensity, or estimated total energy. The power-law distribution is observed in wide ranges of sizes, with flattening at the low end probably due to a detection threshold effect and steepening at the high end. The power-law index does not seem to vary much with time. On the basis of these, in 1991, Lu and Hamilton proposed an avalanche model of solar flares. Lu and his colleagues further developed this model, and they concluded that, in their avalanche (or cellular automaton) model, the size distribution of flares would be independent of active regions sizes and types. After studying distributions of flare sizes from different types of active regions, I have found that the size distribution of flares from flare-productive active regions are much flatter than those from active regions producing smaller numbers of flares. This discovery is contradictory to the avalanche model. I am going to present an alternative model compatible with the new finding.

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