TY - JOUR

T1 - Renormalization group analysis of a turbulent compressible fluid near d = 4: Crossover between local and non-local scaling regimes

AU - Antonov, N. V.

AU - Gulitskiy, N.M.

AU - Kostenko, M. M.

AU - Lu civjansk, T.

PY - 2016

Y1 - 2016

N2 - We study scaling properties of the model of fully developed turbulence for a compressible fluid, based on the stochastic Navier-Stokes equation, by means of the field theoretic renormalization group (RG). The scaling properties in this approach are related to fixed points of the RG equation. Here we study a possible existence of other scaling regimes and an opportunity of a crossover between them. This may take place in some other space dimensions, particularly at d = 4. A new regime may there arise and then by continuity moves into d = 3. Our calculations have shown that there really exists an additional fixed point, that may govern scaling behaviour.

AB - We study scaling properties of the model of fully developed turbulence for a compressible fluid, based on the stochastic Navier-Stokes equation, by means of the field theoretic renormalization group (RG). The scaling properties in this approach are related to fixed points of the RG equation. Here we study a possible existence of other scaling regimes and an opportunity of a crossover between them. This may take place in some other space dimensions, particularly at d = 4. A new regime may there arise and then by continuity moves into d = 3. Our calculations have shown that there really exists an additional fixed point, that may govern scaling behaviour.

U2 - 10.1051/epjconf/201612505006

DO - 10.1051/epjconf/201612505006

M3 - Article

VL - 125

SP - 05006

JO - EPJ Web of Conferences

JF - EPJ Web of Conferences

SN - 2100-014X

ER -