Generalized Elsässer Energy Spectra of the Ion Cyclotron and Whistler Modes in Magnetohydrodynamic and Hall Magnetohydrodynamic Turbulence

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)].