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

Entropy

Hans J. Haubold¹  Arak M. Mathai² 

[1] Office for Outer Space Affairs, United Nations, P.O. Box 500, A-400 Vienna, Austria;Department of Mathematics and Statistics, McGill University, Montreal H3A 2K6, Canada; E-Mail:

关键词: solar neutrinos;    Super-Kamiokande;    data analysis;    standard deviation;    diffusion entropy;    entropic pathway model;    fractional reaction;    fractional diffusion;    thermonuclear functions;   

DOI  :  10.3390/e16031414

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY   
© 2014 by the authors; licensee MDPI, Basel, Switzerland