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Non-extensive statistical mechanics approach to fully developed hydrodynamic turbulence | | Christian Beck
; | | Date: |
24 May 2000 | | Subject: | Statistical Mechanics | cond-mat.stat-mech | | 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. | | Source: | arXiv, cond-mat/0005408 | | Services: | Forum | Review | PDF | Favorites | |
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