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Title: Linear gyrokinetic theory for kinetic magnetohydrodynamic eigenmodes in tokamak plasmas

Abstract

A two-dimensional (2D) numerical solution method is developed for the recently derived linear gyrokinetic system which describes arbitrary wavelength electromagnetic perturbations in tokamak plasmas. The system consists of the gyrokinetic equation, the gyrokinetic Poisson equation, and the gyrokinetic moment equation. Since familiar magnetohydrodynamic (MHD) results can be recovered entirely from this gyrokinetic model, and all interesting kinetic effects are intrinsically included, this gyrokinetic system offers an approach for kinetic MHD phenomena which is more rigorous, self-consistent, and comprehensive than the previous hybrid models. Meanwhile, drift type microinstabilities can be also investigated systematically in this theoretical framework. The linear gyrokinetic equation is solved for the distribution function in terms of the perturbed fields by integrating along unperturbed particle orbits. The solution is substituted back into the gyrokinetic moment equation and the gyrokinetic Poisson equation. When the boundary conditions are incorporated, an eigenvalue problem is formed. The resulting numerical code, KIN-2DEM, is applied to kinetic ballooning modes, internal kink modes, and toroidal Alfv{acute e}n eigenmodes (TAEs). The numerical results are benchmarked against the well-established FULL code [G. Rewoldt, W. M. Tang, and M. S. Chance, Phys. Fluids {bold 25}, 480 (1982)], the PEST code [J. Manickam, Nucl. Fusion {bold 24}, 595 (1984)],more » and the NOVA-K code [C. Z. Cheng, Phys. Rep. {bold 211}, No. 1 (1992)]. More importantly, kinetic effects on MHD modes can be investigated nonperturbatively. In particular, the kinetic effects of the background plasma on internal kink modes and the hot particle destabilization of TAEs are studied numerically. {copyright} {ital 1999 American Institute of Physics.}« less

Authors:
; ;  [1]
  1. Princeton Plasma Physics Laboratory, Princeton University, Princeton, New Jersey 08543 (United States)
Publication Date:
OSTI Identifier:
338681
Resource Type:
Journal Article
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 6; Journal Issue: 6; Other Information: PBD: Jun 1999
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION; TOKAMAK DEVICES; MAGNETOHYDRODYNAMICS; EIGENFREQUENCY; POISSON EQUATION; DRIFT INSTABILITY; KINK INSTABILITY; KINETIC EQUATIONS; CHARGED-PARTICLE TRANSPORT THEORY

Citation Formats

Qin, H, Tang, W M, and Rewoldt, G. Linear gyrokinetic theory for kinetic magnetohydrodynamic eigenmodes in tokamak plasmas. United States: N. p., 1999. Web. doi:10.1063/1.873526.
Qin, H, Tang, W M, & Rewoldt, G. Linear gyrokinetic theory for kinetic magnetohydrodynamic eigenmodes in tokamak plasmas. United States. https://doi.org/10.1063/1.873526
Qin, H, Tang, W M, and Rewoldt, G. 1999. "Linear gyrokinetic theory for kinetic magnetohydrodynamic eigenmodes in tokamak plasmas". United States. https://doi.org/10.1063/1.873526.
@article{osti_338681,
title = {Linear gyrokinetic theory for kinetic magnetohydrodynamic eigenmodes in tokamak plasmas},
author = {Qin, H and Tang, W M and Rewoldt, G},
abstractNote = {A two-dimensional (2D) numerical solution method is developed for the recently derived linear gyrokinetic system which describes arbitrary wavelength electromagnetic perturbations in tokamak plasmas. The system consists of the gyrokinetic equation, the gyrokinetic Poisson equation, and the gyrokinetic moment equation. Since familiar magnetohydrodynamic (MHD) results can be recovered entirely from this gyrokinetic model, and all interesting kinetic effects are intrinsically included, this gyrokinetic system offers an approach for kinetic MHD phenomena which is more rigorous, self-consistent, and comprehensive than the previous hybrid models. Meanwhile, drift type microinstabilities can be also investigated systematically in this theoretical framework. The linear gyrokinetic equation is solved for the distribution function in terms of the perturbed fields by integrating along unperturbed particle orbits. The solution is substituted back into the gyrokinetic moment equation and the gyrokinetic Poisson equation. When the boundary conditions are incorporated, an eigenvalue problem is formed. The resulting numerical code, KIN-2DEM, is applied to kinetic ballooning modes, internal kink modes, and toroidal Alfv{acute e}n eigenmodes (TAEs). The numerical results are benchmarked against the well-established FULL code [G. Rewoldt, W. M. Tang, and M. S. Chance, Phys. Fluids {bold 25}, 480 (1982)], the PEST code [J. Manickam, Nucl. Fusion {bold 24}, 595 (1984)], and the NOVA-K code [C. Z. Cheng, Phys. Rep. {bold 211}, No. 1 (1992)]. More importantly, kinetic effects on MHD modes can be investigated nonperturbatively. In particular, the kinetic effects of the background plasma on internal kink modes and the hot particle destabilization of TAEs are studied numerically. {copyright} {ital 1999 American Institute of Physics.}},
doi = {10.1063/1.873526},
url = {https://www.osti.gov/biblio/338681}, journal = {Physics of Plasmas},
number = 6,
volume = 6,
place = {United States},
year = {1999},
month = {6}
}