Stochastic Navier-Stokes equation and advection of a tracer field: One-loop renormalization near $d=4$

Abstract

The renormalization group approach and the operator product expansion technique are applied to the model of a tracer field advected by the Navier-Stokes velocity ensemble for a compressible fluid. The model is considered in the vicinity of the specific space dimension $d=4$. The properties of the equal-time structure functions are investigated. The multifractal behaviour of various correlation functions is established. All calculations are performed in the leading one-loop approximation.

arXiv comment8 pages, 1 figure

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Cited by in corpus (3)

• Statistical symmetry restoration in fully developed turbulence: Renormalization group analysis of two models
• Effects of turbulent environment on the surface roughening: The Kardar-Parisi-Zhang model coupled to the stochastic Navier-Stokes equation
• Advection by Compressible Turbulent Flows: Renormalization Group Study of Vector and Tracer Admixture