Quasilinear and nonlinear theory of dissipative trapped particle instabilities
Abstract
An examination of particle linear orbits reveals how charged particles nonresonantly exchange energy with trapped particle modes in the presence of collisions. Phase space diffusion coefficients are constructed which describe the changes in the equilibrium particle distributions and which allow computation of the linear growth rates of the dissipative trapped particle instabilities. Waveinduced detrapping and resonance broadening are considered as nonlinear modifications of the particlewave interaction and found to be ineffective as mechanisms to saturate growth of the dissipative trapped ion mode. Mode coupling with plasma diffusion across the magnetic field is a stronger effect for this and the dissipative trapped electron mode. Final evaluation of plasma diffusion coefficients is complicated by an ignorance of the nonlinear spectral shape.
 Publication:

Physics of Fluids
 Pub Date:
 December 1977
 DOI:
 10.1063/1.861837
 Bibcode:
 1977PhFl...20.2076E
 Keywords:

 Collisional Plasmas;
 Magnetohydrodynamic Stability;
 Particle Motion;
 Plasma Control;
 Trapped Particles;
 Diffusion Coefficient;
 Energy Transfer;
 Kinetic Energy;
 Orbit Calculation;
 Plasma Diffusion;
 Plasma Physics