2013 Volume 8 Pages 2401137
We analyzed energy transfer processes induced by triad mode interactions in homogeneous, isotropic turbulence in magnetohydrodynamic (MHD) and Hall magnetohydrodynamic (HMHD) media. In particular, we analyzed the Fourier spectra of the energy transfers using geometric-series shell-partitioning methods, analogous to dyadic wavelet analysis. Snapshot datasets were collected once the MHD and HMHD turbulences had sufficiently developed. Graphs of all energy spectra were well collapsed after the normalization using the dissipation rates and the diffusion coefficients, i.e. they showed good self-similarity. Despite such self-similarity of energy spectra, the transfer due to mode interactions between the fluid advection and Hall term was reduced over time, while those due to the Lorentz force and induction remained rather stationary in regions of higher wave number.