Numerical Solution of the Drift Kinetic Equation.
Abstract
The nonadiabatic part of the electron distribution in toroidal geometry is investigated through numerical solution of the drift kinetic equation in various parameter regions. A Lorentz operator is used to model collisions for both trapped and untrapped electrons, thus including angle scattering for all of velocity space. Both poloidal and pitch angle dependence of the electron magnetic curvature and gradient drifts are included without the necessity of bounce averaging. No special boundary conditions are used at the trappeduntrapped electron boundary. A preconditioned conjugate gradient is used to solve the drift kinetic equation. The result is used in a dispersion relation which includes ion inertia and ion Landau damping to find growth rates for the dissipative trapped electron mode in the radially local case.
 Publication:

Ph.D. Thesis
 Pub Date:
 February 1979
 Bibcode:
 1979PhDT........45S
 Keywords:

 Physics: Fluid and Plasma;
 Electron Distribution;
 Electron Plasma;
 Electron Scattering;
 Kinetic Equations;
 PlasmaParticle Interactions;
 Landau Damping;
 Magnetically Trapped Particles;
 Mathematical Models;
 Operators (Mathematics);
 Plasma Physics