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Phys. Rev. E 61, 6563–6567 (2000)

Multiscale correlation functions in strong turbulence

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Jahanshah Davoudi1,2 and M. Reza Rahimi Tabar2,3,4
1Max-Planck-Institute für Physik Komplexer Systeme, Nöthinitzer Strasse 38, D-01187 Dresden, Germany
2Institute for Studies in Theoretical Physics and Mathematics, P.O. Box 19395-5746, Tehran, Iran
3Department of Physics, Iran University of Science and Technology, Narmak, Tehran 16844, Iran
4CNRS UMR 6529, Observatoire de la Côte d’Azur, Boîte Postale No. 4229, 06304 Nice Cedex 4, France

Received 1 November 1999; published in the issue dated June 2000

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.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.61.6563
DOI:
10.1103/PhysRevE.61.6563
PACS:
47.27.Ak, 47.27.Gs, 47.27.Jv, 47.40.Ki