Analytic solution of the 2-D Fokker-Planck equation for LH current drive

Conference · Thu Mar 01 04:00:00 EST 1984

OSTI ID:6895159

Krapchev, V B; Hewett, D W; Bers, A

We solve analytically the linearized steady-state 2-D Fokker-Planck equation for the resonant electrons in the presence of strong rf fields. In this case the diffusion coefficient D = D/sub QL/nu v/sub t//sup 2/ >> 1, where D/sub QL/ is the quasilinear diffusion coefficient, nu is the bulk electron-ion collisional frequency and v/sub t/ = (T/sub B//m/sub e/sup 1/2/ is the bulk electron thermal velocity. The 1-D theory (1) and a previous 2-D numerical investigation showed that the rf current generated (J) is nearly equal in the two theories. The figure of merit J/P/sub d/, where P/sub d/ is the density of power dissipated, was enhanced by a factor of 2.5 in that 2-D study compared with 1-D theory.

• Research Organization: Massachusetts Inst. of Tech., Cambridge (USA). Plasma Fusion Center
• DOE Contract Number: AC02-78ET51013
• OSTI ID: 6895159
• Report Number(s): DOE/ET/51013-115; CONF-840311-8; PFC/CP-84-2; ON: DE84010314
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700101* -- Fusion Energy-- Plasma Research-- Confinement
Heating
& Production
ALCATOR DEVICE
ANALYTICAL SOLUTION
CLOSED PLASMA DEVICES
CURRENT-DRIVE HEATING
DIFFERENTIAL EQUATIONS
ELECTRIC HEATING
ELECTRONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FOKKER-PLANCK EQUATION
HEATING
HIGH-FREQUENCY HEATING
JOULE HEATING
LEPTONS
LOWER HYBRID HEATING
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA HEATING
RESISTANCE HEATING
RESONANCE
THERMONUCLEAR DEVICES
TOKAMAK DEVICES
TWO-DIMENSIONAL CALCULATIONS