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Phenomenologies of intermittent Hall MHD turbulence

2020/12/19 by Mimi Dai, Dai, Mimi
Physics and Astronomy · Biochemistry, Genetics and Molecular Biology · #Solar and Space Plasma Dynamics #Ionosphere and magnetosphere dynamics #Geomagnetism and Paleomagnetism Studies

paper · pdf · doi:10.48550/arxiv.2012.10781

Abstract

We introduce the concept of intermittency dimension for the magnetohydrodynamics (MHD) to quantify the intermittency effect. With dependence on the intermittency dimension, we derive phenomenological laws for intermittent MHD turbulence with and without the Hall effect. In particular, scaling laws of dissipation wavenumber, energy spectra and structure functions are predicted. Moreover, we are able to provide estimates for energy spectra and structure functions which are consistent with the predicted scalings.

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