Non-extensive statistical mechanics approach to fully developed hydrodynamic turbulence

Christian Beck

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arXiv · cond-mat/0005408

Non-extensive statistical mechanics approach to fully developed hydrodynamic turbulence

Christian Beck

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Abstract

We apply non-extensive methods to the statistical analysis of fully developed turbulent flows. Probability density functions of velocity differences at distance r obtained by extremizing the Tsallis entropies coincide well with what is measured in turbulence experiments. We derive a set of relations between the hyperflatness factors F_m and the non-extensitivity parameter q, which can be used to directly extract the function q(r) from experimentally measured structure functions. We comment on various non-extensive methods to calculate the moment scaling exponents zeta_m.

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Christian Beck. 2000-05-24. Non-extensive statistical mechanics approach to fully developed hydrodynamic turbulence. https://arxiv.org/abs/cond-mat/0005408

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