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Compensating Behavior and Constancy of Normalized Energy Transfers in Hall Magnetohydrodynamic Turbulence

Keisuke ARAKI and Hideaki MIURA¹⁾

Okayama University of Science, Okayama 700-0005, Japan

1)

National Institute for Fusion Science, Toki 509-5292, Japan

(Received 10 December 2013 / Accepted 7 March 2014 / Published 10 June 2014)

Abstract

Using a dissipation-scale adaptive, wavelet-like shell decomposition method and normalization by dissipation-scale characteristics, we found a novel sustaining behavior of self-similarity in the quadratic energy transfer process in freely decaying, fully developed, homogeneous and isotropic turbulences of an incompressible Hall magnetohydrodynamic medium. The process is associated with the relative reduction of nonlinear energy transfer in the dissipation range, which was reported in our previous study [K. Araki and H. Miura, Plasma Fusion Res. 8, 2401137 (2013)]. Gradual reductions in energy transfers by fluid advection and the Hall-term effect are compensated by enhancement of energy transfers due to mutual interactions between velocity and magnetic fields, i.e. between the Lorentz force effect and magnetic induction. This sustaining behavior suggests that coupling between velocity and magnetic fields may be crucial, even when linear dispersive waves aroused by a uniform background magnetic field are absent.

Copyright (c) 2014 The Japan Society of Plasma Science and Nuclear Fusion Research

Keywords

Hall magnetohydrodynamics, turbulence, energy transfer, wavelet-like shell partitioning method

DOI: 10.1585/pfr.9.3401073

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References

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This paper may be cited as follows:

Keisuke ARAKI and Hideaki MIURA, Plasma Fusion Res. 9, 3401073 (2014).