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.
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Migdal, A.A. (1995). Loop Equation and Area Law in Turbulence. In: Baulieu, L., Dotsenko, V., Kazakov, V., Windey, P. (eds) Quantum Field Theory and String Theory. NATO ASI Series, vol 328. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-1819-8_15
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DOI: https://doi.org/10.1007/978-1-4615-1819-8_15
Publisher Name: Springer, Boston, MA
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Online ISBN: 978-1-4615-1819-8
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