Do we observe Lévy flights in cosmic rays?

Details Do we observe Lévy flights in cosmic rays? Do we observe Lévy flights in cosmic rays?

1998-09-21

arxiv.org/abs/hep-ph/9809463v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTeX file and 1 LaTeX file with figure. Uses espcrc2.sty (included) and LaTeX2e. 4 pages

Scientific paper

10.1016/S0920-5632(99)00239-X

We argue that the so called long flying component (LFC) observed in some cosmic ray experiments are yet another manifestation of L\'evy distributions (with index $q=1.3$), this time of the distribution observation probability of the depths of starting points of cascades. It means that LFC is governed by the so called long-tail L\'evy-like anomalous superdiffusion, a phenomenon frequently encountered in Nature. Its connection with the so called Tsallis's statistics is also briefly discussed.

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