Generalized statistical mechanics and fully developed turbulence
نویسنده
چکیده
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 proved rigorously.
منابع مشابه
Parametric study of a viscoelastic RANS turbulence model in the fully developed channel flow
One of the newest of viscoelastic RANS turbulence models for drag reducing channel flow with polymer additives is studied in different flow and rheological properties. In this model, finitely extensible nonlinear elastic-Peterlin (FENE-P) constitutive model is used to describe the viscoelastic effect of polymer solution and turbulence model is developed in the k-ϵ-(ν^2 ) ̅-f framework. The geome...
متن کاملOn the small-scale statistics of Lagrangian turbulence
We provide evidence that the small-scale statistics of the acceleration of a test particle in high-Reynolds number Lagrangian turbulence is correctly described by Tsallis statistics with entropic index q = 3 2 . We present theoretical arguments why Tsallis statistics can naturally arise in Lagrangian turbulence and why at the smallest scales q = 32 is relevant. A generalized Heisenberg-Yaglom f...
متن کاملNon-extensive statistical mechanics approach to fully developed hydrodynamic turbulence
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 Fm and the non-extensitivity parameter q, which can be used to...
متن کاملFully developed turbulence and statistical mechanics
2014 This paper gives a self contained review of some recent progress of the statistical theory of fully developed turbulence. The emphasis is on both analogies and differences with Hamiltonian statistical mechanics, in particular critical phenomena. The method of spectral equations, which plays to a certain extent the role of a mean field theory, is discussed in detail. It is here viewed as a ...
متن کاملGeneralized statistical mechanics of cosmic rays
We consider a generalized statistical mechanics model for the creation process of cosmic rays which takes into account local temperature fluctuations. This model yields Tsallis statistics for the cosmic ray spectrum. It predicts an entropic index q given by q = 11/9 at largest energies (equivalent to a spectral index of α = 5/2), and an effective temperature given by 59TH , where kTH ≈ 180 MeV ...
متن کامل