Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2011-05-09
Nonlinear Sciences
Chaotic Dynamics
the typos in some formulae corrected; some rewording (say, acknowledging the Letter's contributions in the beginning of the Co
Scientific paper
We argue that the constraints on transfers, given in the Letter [G. Plunk and T. Tatsuno, Phys. Rev. Lett. {\bf 106}, 165003 (2011)], but not correctly, do not give the transfer and/or cascade directions which however can be assisted by the absolute equilibria calculated in this Comment, following Kraichnan [R. H. Kraichnan, Phys. Fluids {\bf 102}, 1417 (1967)]. One of the important statements about the transfers with only one or no diagonal component can be shown to be inappropriate according to the fundamental dynamics. Some mathematical mistakes are pointed out.
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