Does multifractal theory of turbulence have logarithms in the scaling relations?
arXiv:nlin/0506003 · doi:10.1017/S0022112005006178
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.
7 pages, 1 figure