Multiscale correlation functions in strong turbulence
Under the framework of Yakhot [Phys. Rev. E 57, 1737 (1998)], we model intermittent structure functions in fully developed turbulence, based on the experimentally supported Markovian nature of turbulence cascades [Friedrich and Peinke, Phys. Rev. Lett, 78, 863 (1997)], and calculate the multiscaling correlation functions. Fusion rules [L'vov and Procaccia, Phys. Rev. Lett. 76, 2898 (1996)], which were experimentally tested [Benzi, Biferale, and Toschi, Phys. Rev. Lett. 80, 3244 (1998)] to be compatible with almost uncorrelated multiplicative process are analytically checked by direct calculations.
Davoudi
J
Max-Planck-Institute fur Physik Komplexer Systeme, Nothinitzer Strasse 38, D-01187 Dresden, Germany and Institute for Studies in Theoretical Physics and Mathematics, P.O. Box 19395-5746, Tehran, Iran.
Reza Rahimi Tabar M