Manifestation of anisotropy persistence in the hierarchies of MHD scaling exponents
arXiv:nlin/0005019 · doi:10.1103/PhysRevE.62.R5891
Abstract
The first example of a turbulent system where the failure of the hypothesis of small-scale isotropy restoration is detectable both in the `flattening' of the inertial-range scaling exponent hierarchy, and in the behavior of odd-order dimensionless ratios, e.g., skewness and hyperskewness, is presented. Specifically, within the kinematic approximation in magnetohydrodynamical turbulence, we show that for compressible flows, the isotropic contribution to the scaling of magnetic correlation functions and the first anisotropic ones may become practically indistinguishable. Moreover, skewness factor now diverges as the Péclet number goes to infinity, a further indication of small-scale anisotropy.
4 pages Latex, 1 figure
References in corpus (4)
- Influence of compressibility on scaling regimes of strongly anisotropic fully developed turbulence
- Universality and saturation of intermittency in passive scalar turbulence
- Persistence of small-scale anisotropies and anomalous scaling in a model of magnetohydrodynamics turbulence
- Nonperturbative Spectrum of Anomalous Scaling Exponents in the Anisotropic Sectors of Passively Advected Magnetic Fields
Cited by in corpus (16)
- Anisotropy in Turbulent Flows and in Turbulent Transport
- Fronts in passive scalar turbulence
- Turbulence with Pressure: Anomalous Scaling of a Passive Vector Field
- Anomalous scaling of a passive scalar advected by the Navier--Stokes velocity field: Two-loop approximation
- Pressure and intermittency in passive vector turbulence
- Anomalous scaling in two models of the passive scalar advection: Effects of anisotropy and compressibility
- Anomalous scaling of passively advected magnetic field in the presence of strong anisotropy
- Influence of helicity on anomalous scaling of a passive scalar advected by the turbulent velocity field with finite correlation time: Two-loop approximation
- Anomalous scaling and large-scale anisotropy in magnetohydrodynamic turbulence: Two-loop renormalization-group analysis of the Kazantsev--Kraichnan kinematic model
- Passive advection of a vector field: Anisotropy, finite correlation time, exact solution and logarithmic corrections to ordinary scaling
- 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 of a passive scalar advected by the turbulent velocity field with finite correlation time and uniaxial small-scale anisotropy
- 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
- Combined role of molecular diffusion, mean streaming and helicity in the eddy diffusivity of short-correlated random flows