Global ion cyclotron waves in a perpendicularly stratified, one-dimensional warm plasma
The sixth-order wave equation which results from a finite temperature expansion of the Vlasov equation is solved globally in a perpendicularly stratified, one-dimensional slab plasma. The diamagnetic drift and associated anisotropy are included in the unperturbed distribution function to ensure a self-adjoint system. All x-dependence in the plasma pressure and magnetic field is retained along with the electric field parallel to vector B. Thus, Landau damping of the ion Bernstein wave is included as well. Because the wave equation is solved implicitly as a two-point boundary value problem, the evanescent short-wavelength Bernstein waves do not grow exponentially as in shooting methods. Solutions to the complete sixth-order partial differential equation are compared to those from an approximate second-order equation based on local dispersion theory. Strong variations occur in the absorption and in the structure of the wave fields as resonance topology is varied.
- Research Organization:
- Oak Ridge National Lab., TN (USA)
- DOE Contract Number:
- AC05-84OR21400
- OSTI ID:
- 6566744
- Report Number(s):
- ORNL/TM-10224; ON: DE87010145
- Country of Publication:
- United States
- Language:
- English
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99 GENERAL AND MISCELLANEOUS
990230 -- Mathematics & Mathematical Models-- (1987-1989)
ABSORPTION
BERNSTEIN MODE
BOUNDARY-VALUE PROBLEMS
CYCLOTRON RESONANCE
DAMPING
DATA
DIAMAGNETISM
DIFFERENTIAL EQUATIONS
DISPERSION RELATIONS
ENERGY ABSORPTION
EQUATIONS
HEATING
HIGH-FREQUENCY HEATING
ICR HEATING
INFORMATION
ION CYCLOTRON-RESONANCE
LANDAU DAMPING
MAGNETISM
MAXWELL EQUATIONS
NUMERICAL DATA
ONE-DIMENSIONAL CALCULATIONS
OSCILLATION MODES
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA DENSITY
PLASMA HEATING
PLASMA WAVES
POYNTING THEOREM
RESONANCE
WAVE EQUATIONS