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Does multifractal theory of turbulence have logarithms in the scaling relations?

Uriel Frisch·Marco Martins Afonso·Andrea Mazzino·Victor Yakhot
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Abstract

The multifractal theory of turbulence uses a saddle-point evaluation in determining the power-law behaviour of structure functions. Without suitable precautions, this could lead to the presence of logarithmic corrections, thereby violating known exact relations such as the four-fifths law. Using the theory of large deviations applied to the random multiplicative model of turbulence and calculating subdominant terms, we explain here why such corrections cannot be present.

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Uriel Frisch, Marco Martins Afonso, Andrea Mazzino, Victor Yakhot. 2005-06-01. Does multifractal theory of turbulence have logarithms in the scaling relations?. https://doi.org/10.1017/s0022112005006178

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