A numerical solution of the kinetic equations for a spectrum of Langmuir turbulence
Abstract
The main properties of a kinetic wave equation in an isothermal plasma, Te ≈ Ti, are discussed and a quick method of numerical solution based on factorization of the kernel of an integral equation is outlined. As an illustration the method is applied to the problem of plasma heating with a relativistic electron beam and it is shown how the evolution of a spectrum of Langmuir turbulence is the principal contributor to the heating of the plasma. The technique allows an estimate of the error which is present in the stationary solution, and this is made in the final section.
- Publication:
-
Journal of Plasma Physics
- Pub Date:
- April 1984
- DOI:
- 10.1017/S0022377800001604
- Bibcode:
- 1984JPlPh..31..253H
- Keywords:
-
- Isothermal Processes;
- Kinetic Equations;
- Plasma Heating;
- Plasma Turbulence;
- Plasma-Particle Interactions;
- Relativistic Electron Beams;
- Hamiltonian Functions;
- Integral Equations;
- Plasma Physics