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

Abstract

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.

arXiv comment6 pages. arXiv admin note: substantial text overlap with arXiv:1611.00327

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Cited by in corpus (6)

• Statistical symmetry restoration in fully developed turbulence: Renormalization group analysis of two models
• Turbulent compressible fluid: renormalization group analysis, scaling regimes, and anomalous scaling of advected scalar fields
• Advection of a passive scalar field by turbulent compressible fluid: renormalization group analysis near $d=4$
• Effects of turbulent environment on the surface roughening: The Kardar-Parisi-Zhang model coupled to the stochastic Navier-Stokes equation
• Stochastic Navier-Stokes equation and advection of a tracer field: One-loop renormalization near $d=4$
• Advection by Compressible Turbulent Flows: Renormalization Group Study of Vector and Tracer Admixture