1993/06/29 by Alexander Migdal, A. A. Migdal, Migdal, A. A.
Engineering · Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #Fluid Dynamics and Turbulent Flows #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th) #Solar and Space Plasma Dynamics #cond-mat #hep-lat #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9306152
24 pages, 3 figures, LaTeX, PUPT-1409(the figures uuencoded,previous versions corrupted by mailer)
arxiv created 1993/06/29 · openalex publication_date 1993/06/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We develop the formulation of turbulence in terms of the functional integral over the phase space configurations of the vortex cells. The phase space consists of Clebsch coordinates at the surface of the vortex cells plus the Lagrange coordinates of this surface plus the conformal metric. Using the Hamiltonian dynamics we find an invariant probability distribution which satisfies the Liouville equation. The violations of the time reversal invariance come from certain topological terms in effective energy of our Gibbs-like distribution. We study the topological aspects of the statistics and use the string theory methods to estimate intermittency.