Nonlinear saturation of the dissipative trapped electron instability
Abstract
The nonlinear saturation amplitude of the dissipative trapped electron instability is calculated. Comparison is made with an experiment carried out in linear mirror geometry and near threshold, with only a single mode predominating. A model in which the untrapped electrons respond in a Boltzmann fashion yields good agreement. A model in which Landau damping is included predicts saturation amplitudes much smaller than observed. The first model seems appropriate for linear geometries while the second may apply to closed devices.
 Publication:

Physics of Fluids
 Pub Date:
 December 1978
 DOI:
 10.1063/1.862159
 Bibcode:
 1978PhFl...21.2218M
 Keywords:

 Bogoliubov Theory;
 Magnetically Trapped Particles;
 Magnetohydrodynamic Stability;
 Plasma Physics;
 Debye Length;
 Fourier Analysis;
 Galerkin Method;
 Gyrofrequency;
 Landau Damping;
 Mean Free Path;
 Poisson Equation;
 Power Series;
 Series Expansion;
 Time Functions;
 Plasma Physics