One-dimensional model for lower-hybrid current drive including perpendicular dynamics
The two-dimensional (velocity space) Fokker-Planck equation for lower-hybrid current drive is approximated by its perpendicular moments hierarchy closed in the second moment equation. The closure is derived on the basis of a distribution function composed of a central thermal Maxwellian plus a perpendicularly broadened distribution of fast particles that are diffused into, and pitch-angle scattered out of, the quasilinear plateau region. The resulting one-dimensional model reproduces the relevant features of the solutions obtained from numerically integrating the two-dimensional Fokker-Planck equation. An analytic estimate of the perpendicular temperature on the plateau and the plateau height as a function of spectrum width and position is presented. Also predicted are the current density generated and its figure of merit (the current density per unit power density dissipated).
- Research Organization:
- Projet Tokamak, Institut de Recherche d'Hydro-Quebec, Varennes, Quebec, Canada J0L 2P0
- DOE Contract Number:
- AC02-78ET51013
- OSTI ID:
- 6515141
- Journal Information:
- Phys. Fluids; (United States), Vol. 28:12
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
PLASMA
CURRENT-DRIVE HEATING
DISTRIBUTION FUNCTIONS
FOKKER-PLANCK EQUATION
MATHEMATICAL MODELS
NUMERICAL ANALYSIS
ONE-DIMENSIONAL CALCULATIONS
DIFFERENTIAL EQUATIONS
ELECTRIC HEATING
EQUATIONS
FUNCTIONS
HEATING
JOULE HEATING
MATHEMATICS
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA HEATING
RESISTANCE HEATING
700101* - Fusion Energy- Plasma Research- Confinement
Heating
& Production
700105 - Fusion Energy- Plasma Research- Plasma Kinetics-Theoretical- (-1987)