String Theory and Turbulence
High Energy Physics - Theory
2011-03-22 v2 Chaotic Dynamics
Fluid Dynamics
Abstract
We propose a string theory of turbulence that explains the Kolmogorov scaling in 3+1 dimensions and the Kraichnan and Kolmogorov scalings in 2+1 dimensions. This string theory of turbulence should be understood in light of the AdS/CFT dictionary. Our argument is crucially based on the use of Migdal's loop variables and the self-consistent solutions of Migdal's loop equations for turbulence. In particular, there is an area law for turbulence in 2+1 dimensions related to the Kraichnan scaling.
Keywords
Cite
@article{arxiv.0912.2725,
title = {String Theory and Turbulence},
author = {Vishnu Jejjala and Djordje Minic and Y. Jack Ng and Chia-Hsiung Tze},
journal= {arXiv preprint arXiv:0912.2725},
year = {2011}
}
Comments
LaTeX; 15 pages, two figures; v.2: slight changes to text, footnotes and references added