Solar Flare Waiting Time Distribution: Varying-Rate Poisson or Lévy Function?

Astronomy and Astrophysics – Astronomy

Scientific paper

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Magnetohydrodynamics: Mhd, Sun: Activity, Sun: Corona, Sun: Flares, X-Rays

Scientific paper

The waiting time distribution for solar flares has been considered. Using Geostationary Operational Environmental Satellite X-ray data, we show that a local Poisson hypothesis for solar flares is not consistent with observations, while the observed distribution is well reproduced by a Lévy function, which displays asymptotically a power-law tail. The origin of the observed waiting time distribution is then attributed to the fact that the physical process underlying solar flares is statistically self-similar in time and is characterized by a certain amount of ``memory.''

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