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

Journal Article · Sun Aug 01 04:00:00 EDT 1993 · Physics of Fluids B; (United States)

DOI:https://doi.org/10.1063/1.860665· OSTI ID:6323802

Ware, A A ^[1]

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1. Institute for Fusion Studies, The University of Texas at Austin, Austin, Texas 78712 (United States)

For slab geometry the perturbation of the electrostatic wake of a superthermal test electron in a magnetized plasma ([omega][sub [ital ce]] [much gt] [omega][sub [ital 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 [ital x] from the test electron are those with parallel velocity [ital v][sup [prime]][sub [parallel]] = [ital v][sub [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([ital x]) and [ital v][sub [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 ([ital f]) due to the emission and absorption of the waves under these conditions; [ital f] is assumed approximately Maxwellian for [ital v][sub [parallel]] [approx lt] [ital v][sub [ital T]] but with an arbitrary tail for [ital v][sub [parallel]] [gt] [ital v][sub [ital T]].

• DOE Contract Number: FG05-80ET53088; FG05-88ER53266
• OSTI ID: 6323802
• Journal Information: Physics of Fluids B; (United States), Journal Name: Physics of Fluids B; (United States) Vol. 5:8; ISSN 0899-8221; ISSN PFBPEI
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700330 -- Plasma Kinetics
Transport
& Impurities-- (1992-)
700340* -- Plasma Waves
Oscillations
& Instabilities-- (1992-)
ABSORPTION
CLOSED PLASMA DEVICES
DIFFERENTIAL EQUATIONS
DISTRIBUTION FUNCTIONS
ELECTRONS
ELECTROSTATICS
ELEMENTARY PARTICLES
EMISSION
ENERGY LOSSES
EQUATIONS
FERMIONS
FOKKER-PLANCK EQUATION
FUNCTIONS
LEPTONS
LOSSES
MAGNETIC FIELD CONFIGURATIONS
MAGNETIC SURFACES
MAGNETIZATION
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA WAVES
SLABS
SORPTION
TEST PARTICLES
THERMONUCLEAR DEVICES
TOKAMAK DEVICES