In the presence of a strong magnetic field, disturbances travel along magnetic field lines. In most theories for strongly magnetized turbulence, collisions between opposite-traveling wave packets (or 'eddies') are essential for energy cascade. In those theories, it is generally assumed that only interactions between similar-size eddies are important. That is, most magnetohydrodynamic (MHD) turbulence models assume scale-locality of energy cascade. In this paper, we show that collisions between different size eddies, especially between outer scale eddies and smaller eddies, are also important and discuss how this non-locality affects energy spectrum. We also discuss dynamics of electron MHD (EMHD) wave packets (a.k.a. whistler wave packets). We show that EMHD wave packets moving in one direction can cascade energy through self-interactions and that they exhibit inverse energy cascade.
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