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A Generalization of Scaling Models of Turbulence

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Abstract

We report on some implications of the theory of turbulence developed by V. Yakhot (Phys. Rev. E 57(2):1737, 1998). In particular we focus on the expression for the scaling exponents ζ n . We show that Yakhot’s result contains three well known scaling models as special cases, namely K41, K62 and the theory by V. L’vov and I. Procaccia (Phys. Rev. E 62(6):8037, 2000). The model furthermore yields a theoretical justification for the method of extended self-similarity (ESS).

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Correspondence to J. Peinke.

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Renner, C., Peinke, J. A Generalization of Scaling Models of Turbulence. J Stat Phys 146, 25–32 (2012). https://doi.org/10.1007/s10955-011-0345-1

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  • DOI: https://doi.org/10.1007/s10955-011-0345-1

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