Energetic ion distribution resulting from neutral beam injection in tokamaks
Abstract
The Fokker-Planck equation is studied for an energetic ion beam injected into a magnetized plasma consisting of Maxwellian ions and electrons with υthi υb υthe. The time evolution of the fast ion distribution is given in terms of an infinite sum of Legendre polynomials for distributions that are axisymmetric about the magnetic field. The effect of charge exchange is included. The resulting ion distribution is somewhat isotropic for velocities much less than the injection velocity, however, the distribution is sharply peaked in both energy and pitch angle for velocities near the injection velocity. Approximate asymptotic expressions are given for the distribution in the vicinity of the injected beam and for velocities greater than the injection velocity. The effect of a weak parallel electric field is also given.
- Publication:
-
Journal of Plasma Physics
- Pub Date:
- October 1976
- DOI:
- 10.1017/S0022377800020134
- Bibcode:
- 1976JPlPh..16..149G
- Keywords:
-
- Energy Distribution;
- Fokker-Planck Equation;
- Ion Distribution;
- Ion Injection;
- Neutral Beams;
- Tokamak Devices;
- Asymptotic Methods;
- Charge Transfer;
- Electric Field Strength;
- Ion Beams;
- Legendre Functions;
- Magnetic Field Configurations;
- Plasma Control;
- Polynomials;
- Steady State;
- Plasma Physics