One-dimensional model for lower-hybrid current drive including perpendicular dynamics

Journal Article · Sun Dec 01 04:00:00 EST 1985 · Phys. Fluids; (United States)

DOI:https://doi.org/10.1063/1.865318· OSTI ID:6515141

Fuchs, V; Cairns, R A; Shoucri, M M; Hizanidis, K; Bers, A

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), Journal Name: Phys. Fluids; (United States) Vol. 28:12; ISSN PFLDA
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700101* -- Fusion Energy-- Plasma Research-- Confinement
Heating
& Production
700105 -- Fusion Energy-- Plasma Research-- Plasma Kinetics-Theoretical-- (-1987)
CURRENT-DRIVE HEATING
DIFFERENTIAL EQUATIONS
DISTRIBUTION FUNCTIONS
ELECTRIC HEATING
EQUATIONS
FOKKER-PLANCK EQUATION
FUNCTIONS
HEATING
JOULE HEATING
MATHEMATICAL MODELS
MATHEMATICS
NUMERICAL ANALYSIS
ONE-DIMENSIONAL CALCULATIONS
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA
PLASMA HEATING
RESISTANCE HEATING