Generalized statistical mechanics and fully developed turbulence
arXiv:cond-mat/0110073 · doi:10.1016/S0378-4371(02)00497-1
Abstract
The statistical properties of fully developed hydrodynamic turbulence can be successfully described using methods from nonextensive statistical mechanics. The predicted probability densities and scaling exponents precisely coincide with what is measured in various turbulence experiments. As a dynamical basis for nonextensive behaviour we consider nonlinear Langevin equations with fluctuating friction forces, where Tsallis statistics can be rigorously proved.
10 pages, 4 figures. To appear in Physica A (Proceedings of Statphys 21)
References in corpus (5)
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- Extended quasi-additivity of Tsallis entropies
- Skewness of probability density functions of fluid particle acceleration in developed turbulence
- Phenomenological Gaussian screening in the nonextensive statistics approach to fully developed turbulence
- First-Passage Time: A Conception Leading to Superstatistics. II. Continuous Distributions and their Applications
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- Nonextensive statistical dynamics applied to wall turbulence