Continuum limit of electrostatic gyrokinetic absolute equilibrium

Journal Article · Fri Jun 15 00:00:00 EDT 2012 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4725725· OSTI ID:22072454

Jianzhou, Zhu ^[1]

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1. Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui 230026 (China)

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 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 2D plasma turbulence.

• OSTI ID: 22072454
• Journal Information: Physics of Plasmas, Vol. 19, Issue 6; Other Information: (c) 2012 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
EQUILIBRIUM
GREEN FUNCTION
INTEGRALS
PARTITION FUNCTIONS
PLASMA
PLASMA SIMULATION
QUANTIZATION
TRANSPORT THEORY
TURBULENCE
VELOCITY