Manifestation of anisotropy persistence in the hierarchies of MHD scaling exponents

Details Manifestation of anisotropy persistence in the hierarchies of MHD scaling exponents Manifestation of anisotropy persistence in the hierarchies of MHD scaling exponents

2000-05-09

arxiv.org/abs/nlin/0005019v1

Phys. Rev. E, 62 (2000) R5891

Nonlinear Sciences

Chaotic Dynamics

4 pages Latex, 1 figure

Scientific paper

10.1103/PhysRevE.62.R5891

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 P\'eclet number goes to infinity, a further indication of small-scale anisotropy.

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