Anomalous scaling and anisotropy in models of passively advected vector fields

Abstract

The small and large scale problem of various passive vector models with anisotropic forcing is considered by solving exactly the equation for the pair correlation function. Emphasis is placed in the phenomena of anomalous scaling and the possible breakdown of isotropic dominance in the inertial range.

33 pages, 8 figures. Added references, several corrections and improvements

References in corpus (12)

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Cited by in corpus (13)

• Anomalous scaling and large-scale anisotropy in magnetohydrodynamic turbulence: Two-loop renormalization-group analysis of the Kazantsev--Kraichnan kinematic model
• Anomalous scaling of passive scalar fields advected by the Navier-Stokes velocity ensemble: Effects of strong compressibility and large-scale anisotropy
• Logarithmic violation of scaling in strongly anisotropic turbulent transfer of a passive vector field
• Anomalous scaling in magnetohydrodynamic turbulence: Effects of anisotropy and compressibility in the kinematic approximation
• Statistical symmetry restoration in fully developed turbulence: Renormalization group analysis of two models
• Anomalous scaling in statistical models of passively advected vector fields
• Anomalous scaling of a passive vector field in $d$ dimensions: Higher-order structure functions
• Turbulent compressible fluid: renormalization group analysis, scaling regimes, and anomalous scaling of advected scalar fields
• Steady state existence of passive vector fields under the Kraichnan model
• Helical turbulent Prandtl number in the $A$ model of passive advection: Two loop approximation
• Advection of a passive scalar field by turbulent compressible fluid: renormalization group analysis near $d=4$
• 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