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

Fabio Lepreti et al 2001 ApJ 555 L133-L136   doi: 10.1086/323178  Help

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Fabio Lepreti1, Vincenzo Carbone1 and Pierluigi Veltri1
1 Dipartimento di Fisica and Istituto Nazionale per la Fisica della Materia, Università della Calabria, 87036 Rende (CS), Italy

ABSTRACT. 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."

Subject headings: MHD; Sun: activity; Sun: corona; Sun: flares; cosmic rays

Print publication: Issue 2 (2001 July 10)
Received 2000 December 4, accepted for publication 2001 June 5
Published 2001 June 27

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