Dual cascade and its possible variations in magnetized kinetic plasma turbulence
arXiv:1008.0330
Abstract
Electrostatic gyrokinetic absolute equilibria with continuum velocity field are obtained through the partition function and through the Green function of the functional integral. The new results justify and explain the prescription for quantization/discretization or taking the continuum limit of velocity. The mistakes in the Appendix D of our earlier work [J.-Z. Zhu and G. W. Hammett, Phys. Plasmas {\bf 17}, 122307 (2010)] are explained and corrected. If the lattice spacing for discretizing velocity is big enough, all the invariants could concentrate at the lowest Fourier modes in a negative-temperature state, which might indicate a possible variation of the dual cascade picture in two-dimension magnetized plasma turbulence.
the typos in the version published on PoP corrected: "A factor of 2^N" in the line above Eq. 15 is removed and "finite Δu (v)" is changed to be "finite Δu (Δv)"