Tsallis Extended Thermodynamics Applied to 2-d Turbulence: Lévy Statistics and q-Fractional Generalized Kraichnanian Energy and Enstrophy Spectra

Tsallis Extended Thermodynamics Applied to 2-d Turbulence: Lévy Statistics and q-Fractional Generalized Kraichnanian Energy and Enstrophy Spectra

The extended thermodynamics of Tsallis is reviewed in detail and applied to turbulence. It is based on a generalization of the exponential and logarithmic functions with a parameter q. By applying this nonequilibrium thermodynamics, the Boltzmann-Gibbs thermodynamic approach of Kraichnan to 2-d turb...

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Bibliographic Details
Main Authors: Peter W. Egolf, Kolumban Hutter
Format: Article
Language:English
Published: MDPI AG 2018-02-01
Series:Entropy
Subjects:
extended thermodynamics
Tsallis entropy
escort probability
fractional calculus
2-d turbulence
spectra of Kraichnan
Kolmogorov-Oboukov spectrum
Lévy statistics
intermittency
Online Access:http://www.mdpi.com/1099-4300/20/2/109

Internet

http://www.mdpi.com/1099-4300/20/2/109

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