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Title: Continuum limit of electrostatic gyrokinetic absolute equilibrium

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 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.

Authors:
 [1]
  1. Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui 230026 (China)
Publication Date:
OSTI Identifier:
22072454
Resource Type:
Journal Article
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 19; Journal Issue: 6; Other Information: (c) 2012 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1070-664X
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; EQUILIBRIUM; GREEN FUNCTION; INTEGRALS; PARTITION FUNCTIONS; PLASMA; PLASMA SIMULATION; QUANTIZATION; TRANSPORT THEORY; TURBULENCE; VELOCITY

Citation Formats

Zhu Jianzhou. Continuum limit of electrostatic gyrokinetic absolute equilibrium. United States: N. p., 2012. Web. doi:10.1063/1.4725725.
Zhu Jianzhou. Continuum limit of electrostatic gyrokinetic absolute equilibrium. United States. doi:10.1063/1.4725725.
Zhu Jianzhou. Fri . "Continuum limit of electrostatic gyrokinetic absolute equilibrium". United States. doi:10.1063/1.4725725.
@article{osti_22072454,
title = {Continuum limit of electrostatic gyrokinetic absolute equilibrium},
author = {Zhu Jianzhou},
abstractNote = {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.},
doi = {10.1063/1.4725725},
journal = {Physics of Plasmas},
issn = {1070-664X},
number = 6,
volume = 19,
place = {United States},
year = {2012},
month = {6}
}