Does Super Kamiokande Observe L´evy Flights of Solar Neutrinos?
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Keywords:
diffusion entropy analysis, Fox H-function, fractional diffusion equation, L´evy flights., neutrino probability density function, scaling exponent, solar neutrinos, standard deviation analysis, Super Kamiokande experiment dataAbstract
The paper is utilyzing data from the SuperKamiokande solar neutrino detection experiment and analyses them by diffusion entropy analysis and standard deviation analysis to evaluate the scaling exponent of the probability density func tion. The result of analysis indicates that solar neutrinos are subject to L´evy flights. The paper derives the probability density function and the governing fractional dif fusion equation for solar neutrino L´evy flights in terms of Fox’s H-function. The con clusion of the paper is the question: Does SuperKamiokande Observe L´evy Flights of Solar Neutrinos?
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