Stochastic Navier-Stokes equation and advection of a tracer field: One-loop renormalization near d = 4
Department of Theoretical Physics, Faculty of Physics, Saint-Petersburg State University, 7/9 Universitetskaya nab., St. Petersburg, 199034 Russia
2 Faculty of Sciences, P.J. Šafárik University, Moyzesova 16, 040 01 Košice, Slovakia
Published online: 5 December 2017
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.
© The Authors, published by EDP Sciences, 2017
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