[Table of Contents]

Plasma and Fusion Research

Volume 10, 3401030 (2015)

Regular Articles

Generalized Elsässer Energy Spectra of the Ion Cyclotron and Whistler Modes in Magnetohydrodynamic and 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 25 November 2014 / Accepted 18 February 2015 / Published 16 April 2015)

Abstract

Applying the generalized Elsasser variables (GEV) decomposition method [S. Galtier, J. Plasma Phys. 72, 721 (2006)] and using a dissipation-scale adaptive, wavelet-like shell decomposition method and normalization by dissipation-scale characteristics [K. Araki and H. Miura, PFR 8, 2401137 (2013)] to direct numerical simulation datasets, we analyzed the energy and transfer spectra of freely decaying, homogeneous, and isotropic turbulence of incompressible magnetohydrodynamic (MHD) and Hall MHD (HMHD) media. The GEV decomposition analysis directly confirmed the breaking of chiral symmetry and the dominance of the right-handed polarized (whistler) modes over the left-handed polarized (ion cyclotron) modes, which Meyrand and Galtier had found using indirect parameters [R. Meyrand and S. Galtier, PRL 109, 194501 (2012)].

Keywords

Hall magnetohydrodynamics, fully developed turbulence, generalized Elsässer variables

DOI: 10.1585/pfr.10.3401030

Full Text

PDF format (520Kbytes) PDF Download

References

  • [1] K. Araki and H. Miura, Plasma Fusion Res. 8, 2401137 (2013).
  • [2] K. Araki and H. Miura, Plasma Fusion Res. 9, 3401073 (2014).
  • [3] S. Galtier, J. Plasma Phys. 72, 721 (2006).
  • [4] K. Araki, to appear in J. Phys. A: Math. Theor. (2015).
  • [5] M. Lesieur, Turbulence in Fluids: Third Revised and Enlarged Edition (Kluwer, Dortrecht, 1997).
  • [6] F. Waleffe, Phys. Fluids A 4, 350 (1992).
  • [7] S. Galtier, J. Fluid Mech. 757, 114 (2014).
  • [8] R. Meyrand and S. Galtier, Phys. Rev. Lett. 109, 194501 (2012).
  • [9] J.C. Perez and S. Boldyrev, Phys. Rev. Lett. 102, 025003 (2009).
  • [10] S. Boldyrev et al., Astrophys. J. Lett. 741, L19 (2011).
  • [11] L. Turner, IEEE Trans. Plasma Sci. 14, 849 (1986).
  • [12] S.M. Mahajan and Z. Yoshida, Phys. Rev. Lett. 81, 4863 (1998).

This paper may be cited as follows:

Keisuke ARAKI and Hideaki MIURA, Plasma Fusion Res. 10, 3401030 (2015).