String Theory and Turbulence

Details String Theory and Turbulence String Theory and Turbulence

2009-12-14

arxiv.org/abs/0912.2725v2

Mod.Phys.Lett.A25:2541-2553,2010

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX; 15 pages, two figures; v.2: slight changes to text, footnotes and references added

Scientific paper

10.1142/S0217732310034109

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.

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