Does SuperKamiokande Observe Levy Flights of Solar Neutrinos?

Abstract

The paper utilizes data from the SuperKamiokande solar neutrino detection experiment and analyses them by diffusion entropy analysis and standard deviation analysis. The result indicates that solar neutrinos are subject to Levy flights (anomalous diffusion, superdiffusion). Subsequently, the paper derives the probability density function, represented as Fox H-function, and the governing fractional diffusion equation (fractional Fokker-Planck Equation) for solar neutrino Levy flights.Comment: 13 pages. arXiv admin note: substantial text overlap with arXiv:1209.152