Does multifractal theory of turbulence have logarithms in the scaling relations?
Chaotic Dynamics
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.nlin/0506003,
title = {Does multifractal theory of turbulence have logarithms in the scaling relations?},
author = {Uriel Frisch and Marco Martins Afonso and Andrea Mazzino and Victor Yakhot},
journal= {arXiv preprint arXiv:nlin/0506003},
year = {2007}
}
Comments
7 pages, 1 figure