A Fokker-Planck operator for the emission and absorption of electron plasma waves in a magnetized plasma

Technical Report · Mon Mar 01 04:00:00 EST 1993

DOI:https://doi.org/10.2172/10138101· OSTI ID:10138101

Ware, A A

For slab geometry the perturbation of the electrostatic wake of a superthermal test electron in a magnetized plasma ({omega}{sub ce} {much_gt} {omega}{sub pe}) due to moderate magnetic shear is determined. Allowing for the spherical symmetry of the surfaces of constant phase to the rear of the test electron, the ``resonant`` field electrons causing the damping of the wave in a magnetic surface at a distance x from the test electron are those with parallel velocity {upsilon}{prime}{parallel} = {upsilon}{parallel} cos {beta} cos({beta} + {gamma}). Here {beta} is the angle between the emitted ray and B(0), {gamma} is the angle between B(0) and B(x) and {upsilon}{parallel} is the velocity of the test electron. As a result the damping in the WKB approximation for the wave emission is a function of both the angle of emission and {gamma}. A Fokker-Planck equation is derived for the rate of change of the electron distribution function (f) due to the emission and absorption of the waves under these conditions. f is assumed approximately Maxwellian for {upsilon}{parallel} > {upsilon}{sub T}.

• Research Organization: Texas Univ., Austin, TX (United States). Inst. for Fusion Studies
• Sponsoring Organization: USDOE, Washington, DC (United States)
• DOE Contract Number: FG05-80ET53088
• OSTI ID: 10138101
• Report Number(s): DOE/ET/53088--590; IFSR--590; ON: DE93009579
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700330
700340
ABSORPTION
DISTRIBUTION FUNCTIONS
ELECTRON PLASMA WAVES
EMISSION
ENERGY LOSSES
FOKKER-PLANCK EQUATION
MAGNETIC FIELDS
MAGNETIC SURFACES
MATHEMATICAL OPERATORS
PLASMA KINETICS, TRANSPORT, AND IMPURITIES
PLASMA WAVES, OSCILLATIONS, AND INSTABILITIES
SHEAR
TOKAMAK DEVICES