On the existence and scaling of structure functions in turbulence according to the data
Other Condensed Matter
2025-10-20 v1 Numerical Analysis
Numerical Analysis
Adaptation and Self-Organizing Systems
Abstract
We sample a velocity field that has an inertial spectrum and a skewness that matches experimental data. In particular, we compute a self-consistent correction to the Kolmogorov exponent and find that for our model it is zero. We find that the higher order structure functions diverge for orders larger than a certain threshold, as theorized in some recent work. The significance of the results for the statistical theory of homogeneous turbulence is reviewed.
Keywords
Cite
@article{arxiv.cond-mat/0601610,
title = {On the existence and scaling of structure functions in turbulence according to the data},
author = {Alex Arenas and Alexandre Chorin},
journal= {arXiv preprint arXiv:cond-mat/0601610},
year = {2025}
}
Comments
15 pages, 5 figures, to appear in PNAS