Higher-Order Analysis of Three-Dimensional Anisotropy in Imbalanced Alfvénic Turbulence
arxiv(2024)
摘要
We analyze in-situ observations of imbalanced solar wind turbulence to
evaluate MHD turbulence models grounded in "Critical Balance" (CB) and
"Scale-Dependent Dynamic Alignment" (SDDA). At energy injection scales, both
outgoing and ingoing modes exhibit a weak cascade; a simultaneous tightening of
SDDA is noted. Outgoing modes persist in a weak cascade across the inertial
range, while ingoing modes shift to a strong cascade at λ≈ 3
× 10^4 d_i, with associated spectral scalings deviating from expected
behavior due to "anomalous coherence" effects. The inertial range comprises two
distinct sub-inertial segments. Beyond λ≳ 100 d_i, eddies adopt
a field-aligned tube topology, with SDDA signatures mainly evident in high
amplitude fluctuations. The scaling exponents ζ_n of the n-th order
conditional structure functions, orthogonal to both the local mean field and
fluctuation direction, align with the analytical models of Chandran et al. 2015
and Mallet et al. 2017, indicating "multifractal" statistics and strong
intermittency; however, scaling in parallel and displacement components is more
concave than predicted, possibly influenced by expansion effects. Below
λ≈ 100 d_i, eddies become increasingly anisotropic, evolving
into thin current sheet-like structures. Concurrently, ζ_n scales
linearly with order, marking a shift towards "monofractal" statistics. At
λ≈ 8 d_i, the increase in aspect ratio halts, and the eddies
become quasi-isotropic. This change may signal tearing instability, leading to
reconnection, or result from energy redirection into the ion-cyclotron wave
spectrum, aligning with the "helicity barrier". Our analysis utilizes 5-point
structure functions, proving more effective than the traditional 2-point method
in capturing steep scaling behaviors at smaller scales.
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