Integral formulation for the twodimensional spatial structure of drift and trappedelectron modes
Abstract
Previous calculations of the linear growth rate and twodimensional spatial structure of trappedelectron modes are made more general and more accurate in several ways. First, an integral equation formulation of the eigenmode problem allows arbitrary values of k_{r}ρ_{i} (where k_{r} is the radial wavenumber and ρ_{i} is the ion gyroradius) to be treated. Second, the ion response is generalized so that arbitrary ratios of the ion magnetic drift frequency to the mode frequency are allowed. Finally, the electron and ion collision operators have been improved to allow consideration of the plateau and PfirschSchlüter regimes in addition to the usual banana regime. It is therefore possible to follow the transition in toroidal geometry from the trappedelectron mode to the collisionless and collisional drift modes. The method used involves expansion of the perturbed electrostatic potential in complete sets of radial and poloidal basis functions to convert the quasineutrality integral equation into a matrix equation.
 Publication:

Physics of Fluids
 Pub Date:
 September 1978
 DOI:
 10.1063/1.862416
 Bibcode:
 1978PhFl...21.1513R
 Keywords:

 Magnetically Trapped Particles;
 Magnetohydrodynamic Stability;
 Perturbation Theory;
 Plasma Resonance;
 Toroidal Plasmas;
 Collisional Plasmas;
 Collisionless Plasmas;
 Drift;
 Electron Density (Concentration);
 Electrostatics;
 Integral Calculus;
 Ion Density (Concentration);
 Modes (Standing Waves);
 Plasma Density;
 Plasma Frequencies;
 Two Dimensional Flow;
 Plasma Physics