The 3D gyrokinetic particle simulation on internal kink modes
Abstract
The three dimensional gyrokinetic particle simulation code for the finite beta plasmas was completed and applied to the internal kink mode simulation. Basic equations are given. The system is a rectangular slab surrounded by the perfectly conducting wall in the x and ydirections. A strong external magnetic field is assumed in the zdirection and a periodic boundary condition is employed in this direction. Transverse magnetic fields are generated selfconsistently by the internal current produced by the electron drifting in the zdirection. The compressional component of the magnetic field is neglected in the low beta approximation. The particle dynamics parallel to the magnetic field are followed as well as the E x B drift. The electron gyroradius is assumed to be zero whereas the ion finite Larmor radius effects are properly included. The electrostatic potential is calculated from the gyrokinetic Poisson equation in which the ion polarization shielding effect is incorporated. The zcomponent of the vector potential is calculated by Ampere's law. The formulation using the canonical momentum is employed in which the inductive electric field does not appear explicit. For the test of the code, the dispersion relations of the shear Alfven waves were verified without the internal current as well as the energy conservation properties.
 Publication:

Comparison of Theoretical and Experimental Transport in Toroidal Systems
 Pub Date:
 March 1990
 Bibcode:
 1990ctet.work...14N
 Keywords:

 Computerized Simulation;
 Electrostatics;
 Kinetics;
 Magnetohydrodynamic Waves;
 Plasmas (Physics);
 S Waves;
 Three Dimensional Models;
 Boundary Conditions;
 Electric Fields;
 Energy Conservation;
 Larmor Radius;
 Magnetic Fields;
 Poisson Equation;
 Wave Dispersion;
 Plasma Physics