Nonlinear gyrokinetic equations for low-frequency electromagnetic waves in general plasma equilibria
Abstract
A nonlinear gyrokinetic formalism for low-frequency (less than the cyclotron frequency) microscopic electromagnetic perturbations in general magnetic field configurations is developed. The nonlinear equations thus derived are valid in the strong-turbulence regime and contain effects due to finite Larmor radius, plasma inhomogeneities, and magentic field geometries. The specific case of axisymmetric tokamaks is then considered, and a model nonlinear equation is derived for electrostatic drift waves. Also, applying the formalism to the shear Alfven wave heating sceme, it is found that nonlinear ion Landau damping of kinetic shear-Alfven waves is modified, both qualitatively and quantitatively, by the diamagnetic drift effects. In particular, wave energy is found to cascade in wavenumber instead of frequency.
- Authors:
- Publication Date:
- Research Org.:
- Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
- OSTI Identifier:
- 6005798
- Report Number(s):
- PPPL-1834
ON: DE82002290; TRN: 82-001376
- DOE Contract Number:
- AC02-76CH03073
- Resource Type:
- Technical Report
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; EQUILIBRIUM PLASMA; ELECTROMAGNETIC RADIATION; KINETIC EQUATIONS; INHOMOGENEOUS PLASMA; ALFVEN WAVES; LARMOR RADIUS; NONLINEAR PROBLEMS; EQUATIONS; HYDROMAGNETIC WAVES; PLASMA; RADIATIONS; 700107* - Fusion Energy- Plasma Research- Instabilities
Citation Formats
Frieman, E A, and Chen, L. Nonlinear gyrokinetic equations for low-frequency electromagnetic waves in general plasma equilibria. United States: N. p., 1981.
Web. doi:10.2172/6005798.
Frieman, E A, & Chen, L. Nonlinear gyrokinetic equations for low-frequency electromagnetic waves in general plasma equilibria. United States. https://doi.org/10.2172/6005798
Frieman, E A, and Chen, L. 1981.
"Nonlinear gyrokinetic equations for low-frequency electromagnetic waves in general plasma equilibria". United States. https://doi.org/10.2172/6005798. https://www.osti.gov/servlets/purl/6005798.
@article{osti_6005798,
title = {Nonlinear gyrokinetic equations for low-frequency electromagnetic waves in general plasma equilibria},
author = {Frieman, E A and Chen, L},
abstractNote = {A nonlinear gyrokinetic formalism for low-frequency (less than the cyclotron frequency) microscopic electromagnetic perturbations in general magnetic field configurations is developed. The nonlinear equations thus derived are valid in the strong-turbulence regime and contain effects due to finite Larmor radius, plasma inhomogeneities, and magentic field geometries. The specific case of axisymmetric tokamaks is then considered, and a model nonlinear equation is derived for electrostatic drift waves. Also, applying the formalism to the shear Alfven wave heating sceme, it is found that nonlinear ion Landau damping of kinetic shear-Alfven waves is modified, both qualitatively and quantitatively, by the diamagnetic drift effects. In particular, wave energy is found to cascade in wavenumber instead of frequency.},
doi = {10.2172/6005798},
url = {https://www.osti.gov/biblio/6005798},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Thu Oct 01 00:00:00 EDT 1981},
month = {Thu Oct 01 00:00:00 EDT 1981}
}