Fourier-Hankel/Bessel space absolute equilibria of 2D gyrokinetics

Details Fourier-Hankel/Bessel space absolute equilibria of 2D gyrokinetics Fourier-Hankel/Bessel space absolute equilibria of 2D gyrokinetics

2011-09-12

arxiv.org/abs/1109.2511v1

Nonlinear Sciences

Chaotic Dynamics

invited talk given in Festival de Th\'eorie 2011

Scientific paper

Two global invariants of two dimensional gyrokinetics are shown to be "rugged" (still conserved by the dynamics) concerning both Fourier and Hankel/Bessel Galerkin truncations. The truncations are made to keep only a finite range of wavenumber $\textbf{k}$ and the Hankel variable $b$ (or $z$ in the Bessel series). The absolute equilibria are used for the discussion of the spectral transfers in the configuration-velocity scale space of kinetic magnetized plasma turbulence. Some interesting aspects of recent numerical results, which were not well understood, are explained with more satisfaction.

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