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A study on universality, non-extensivity and Lévy statistics of solar wind turbulence

  • Kumar G. Santhosh (a1), Sumesh Gopinath (a1) and P. R. Prince (a1)

Abstract

A number of complex systems arising in diverse disciplines may have certain quantitative features that are surprisingly similar which are classified under the paradigm of “universality”. The non-extensive Tsallis stastical mechanics and Lévy flight patterns provide a novel basis for analyzing non-equilibrium complex systems that may exhibit long-range correlations. The present work studies the scope of employing non-extensive Gutenberg-Richter (G-R) type law for the magnitude distribution of energy of solar wind, in order to investigate the existence of a universal behavior as well as to compute the relations of degree of non-extensivity and Lévy statistics in solar wind turbulence with heliographic distance during different solar cycles.

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Tsallis, C. 1988, J. Stat. Phys. 52, 479.
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