TY - JOUR

T1 - Stochastic Navier-Stokes equation and advection of a tracer field: One-loop renormalization near d = 4

AU - Антонов, Николай Викторович

AU - Гулицкий, Николай Михайлович

AU - Костенко, Мария Михайловна

AU - Lucivjansky, Tomas

PY - 2017/12/5

Y1 - 2017/12/5

N2 - 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.

AB - 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.

KW - Renormalization group

KW - Turbulence

KW - Passive advection

U2 - 10.1051/epjconf/201716407044

DO - 10.1051/epjconf/201716407044

M3 - Article

VL - 164

SP - 07044

JO - EPJ Web of Conferences

JF - EPJ Web of Conferences

SN - 2100-014X

ER -