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Entropy 2014, 16(3), 1414-1425; doi:10.3390/e16031414

Analysis of Solar Neutrino Data from Super-Kamiokande I and II

1
Office for Outer Space Affairs, United Nations, P.O. Box 500, A-400 Vienna, Austria
2
Department of Mathematics and Statistics, McGill University, Montreal H3A 2K6, Canada
3
Centre for Mathematical Sciences, Pala, Kerala 686 574, India
4
Department of Mathematics and Statistics, Jai Narain Vyas University, Jodhpur 342004, India
*
Author to whom correspondence should be addressed.
Received: 5 December 2013 / Revised: 16 December 2013 / Accepted: 27 February 2014 / Published: 10 March 2014
(This article belongs to the Special Issue Dynamical Systems)
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Abstract

We are going back to the roots of the original solar neutrino problem: the analysis of data from solar neutrino experiments. The application of standard deviation analysis (SDA) and diffusion entropy analysis (DEA) to the Super-Kamiokande I and II data reveals that they represent a non-Gaussian signal. The Hurst exponent is different from the scaling exponent of the probability density function, and both the Hurst exponent and scaling exponent of the probability density function of the Super-Kamiokande data deviate considerably from the value of 0.5, which indicates that the statistics of the underlying phenomenon is anomalous. To develop a road to the possible interpretation of this finding, we utilize Mathai’s pathway model and consider fractional reaction and fractional diffusion as possible explanations of the non-Gaussian content of the Super-Kamiokande data. View Full-Text
Keywords: solar neutrinos; Super-Kamiokande; data analysis; standard deviation; diffusion entropy; entropic pathway model, fractional reaction; fractional diffusion; thermonuclear functions solar neutrinos; Super-Kamiokande; data analysis; standard deviation; diffusion entropy; entropic pathway model, fractional reaction; fractional diffusion; thermonuclear functions
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Haubold, H.J.; Mathai, A.M.; Saxena, R.K. Analysis of Solar Neutrino Data from Super-Kamiokande I and II. Entropy 2014, 16, 1414-1425.

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