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

Николай Викторович Антонов, Николай Михайлович Гулицкий, Мария Михайловна Костенко, Tomas Lucivjansky

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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.
Original languageEnglish
Pages (from-to)07044
JournalEPJ Web of Conferences
Volume164
DOIs
StatePublished - 5 Dec 2017

Scopus subject areas

  • Statistical and Nonlinear Physics

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