Nonlinear saturation of the trappedion mode by mode coupling in two dimensions
Abstract
Consideration is given to the nonlinear saturation by mode coupling of the dissipative trappedion mode, noting both radial and poloidal variations. The derivation of the nonlinear model equation is presented noting the systematic addition of weakly perturbative kinetic effects to the KadomtsevPogutse fluid equations. Attention is given to the radial instability of onedimensional equilibria and to twodimensional equilibria established by threewave interactions. The case very close to linear marginal stability is examined where a single unstable mode couples with itself via a fourwave interaction. Calculations are presented for the transport of particle flux and the scalings of the transport coefficient. The saturated amplitude with tokamak parameters is reported.
 Publication:

Nuclear Fusion
 Pub Date:
 October 1978
 Bibcode:
 1978NucFu..18.1389C
 Keywords:

 Coupled Modes;
 Magnetically Trapped Particles;
 Magnetohydrodynamic Stability;
 Nonlinear Equations;
 Plasma Control;
 Wave Interaction;
 Crossed Fields;
 Energy Dissipation;
 Energy Technology;
 Equilibrium Equations;
 Ion Motion;
 Mathematical Models;
 Saturation;
 Tokamak Devices;
 Transport Properties;
 Plasma Physics