Multi-scale Correlation Functions in Strong Turbulence
Jahanshah Davoudi, M. Reza Rahimi Tabar
Abstract
Under the framework of V. Yakhot [Phys.Rev.E, 57, 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, 78, 863 (1997)], we calculate the multiscaling correlation functions. Fusion rules [V.S.L'vov and I. Procaccia, Phys.Rev.Lett. 76, 2898 (1996)] which are experimentally tested [R. Benzi, L. Biferale, and F. Toschi, Phys.Rev.Lett. 80, 3244 (1998)] to be compatible with almost uncorrelated multiplicative process can analyticaly be supported by direct calculations.
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