Multi-scale Correlation Functions in Strong Turbulence

Abstract

Under the framework of V. Yakhot [Phys.Rev.E, {\bf57}, 1737 (1998)] modelling of intermittent structure functions in fully developed turbulence and based on the experimentally supported Markovian nature of turbulence cascades [R.Friedrich and J.Peinke, Phys.Rev.Lett, {\bf 78}, 863 (1997)], we calculate the multiscaling correlation functions. Fusion rules [V.S.L'vov and I. Procaccia, Phys.Rev.Lett. {\bf 76}, 2898 (1996)] which are experimentally tested [R. Benzi, L. Biferale, and F. Toschi, Phys.Rev.Lett. {\bf 80}, 3244 (1998)] to be compatible with almost uncorrelated multiplicative process can analyticaly be supported by direct calculations.

4 pages, revtex, two postscript figures, submitted to PRL

References in corpus (5)

• Towards a Nonperturbative Theory of Hydrodynamic Turbulence:Fusion Rules, Exact Bridge Relations and Anomalous Viscous Scaling Functions
• Multiscale velocity correlations in turbulence
• Theoretical Model for the Kramers-Moyal Description of Turbulence Cascades
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Cited by in corpus (7)

• On the universality of small scale turbulence
• The Fokker-Planck Approach to Complex Spatio-Temporal Disordered Systems
• On universal features of the turbulent cascade in terms of non-equilibrium thermodynamics
• Multiscale velocity correlations in turbulence and Burgers turbulence: Fusion rules, Markov processes in scale, and multifractal predictions
• Master equation for She-Leveque scaling and its classification in terms of other Markov models of developed turbulence
• Locality and stability of the cascades of two-dimensional turbulence
• Dissipation scales and anomalous sinks in steady two-dimensional turbulence