Comparison between the ST and KHM approaches. The solid lines show the contributing terms of the ST equation as a function of k: (blue) the decay rate ∂_tE_k, (green) the MHD cascade rate S_MHDk, (orange) the Hall cascade rate S_Hallk, (red) the dissipation rate D_k − Q, and (magenta) the pressure–strain rate Ψ_k − ψ. The dashed lines show the corresponding results of the KHM equation function of k through the relation : (blue) the decay rate −∂_tS − Q, (green) the MHD cascade rate K_MHD, (orange) the Hall cascade rate K_Hall, (red) the dissipation rate −D, and (magenta) the pressure–strain rate −Ψ. All the quantities are given in units of the total (effective) dissipation rate Q.