Loop Equation and Area Law in Turbulence

  • A. A. Migdal
Part of the NATO ASI Series book series (NSSB, volume 328)


The incompressible fluid dynamics is reformulated as dynamics of closed loops C in coordinate space. We derive explicit functional equation for the pdf of the circulation P c (Γ) which allows the scaling solutions in inertial range of spatial scales. The pdf decays as exponential of some power of Γ3/A 2 where A is the minimal area inside the loop.


Minimal Surface Wilson Loop Loop Space Energy Dissipation Rate Inertial Range 
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Copyright information

© Springer Science+Business Media New York 1995

Authors and Affiliations

  • A. A. Migdal
    • 1
  1. 1.Physics DepartmentPrinceton UniversityPrincetonUSA

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