Non-extensive statistical mechanics approach to fully developed hydrodynamic turbulence

DOI10.1016/S0960-0779(01)00032-7zbMath1014.76029arXivcond-mat/0005408OpenAlexW2006866237WikidataQ127316665 ScholiaQ127316665MaRDI QIDQ5954873

Christian Beck

Publication date: 22 July 2003

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0005408

zbMATH Keywords

probability density functionsfully developed turbulent flowshyperflatness factorsmoment scaling exponentsnon-extensitivity parameterTsallis entropies

Mathematics Subject Classification ID

Statistical turbulence modeling (76F55) Statistical mechanics of liquids (82D15)

Cites Work

• From the Perron-Frobenius equation to the Fokker-Planck equation.
• Possible generalization of Boltzmann-Gibbs statistics.
• Velocity probability density functions of high Reynolds number turbulence
• A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number
• Higher correlation functions of chaotic dynamical systems-a graph theoretical approach
• Modeling nearly incompressible turbulence with minimum Fisher information
• Dynamical Systems Approach to Turbulence
• Higher-order correlations of Tchebyscheff maps
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