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Loop Equation and Area Law in Turbulence

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

Abstract

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.

Keywords

Minimal Surface Wilson Loop Loop Space Energy Dissipation Rate Inertial Range 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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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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