Kinetic theory of the evolution of collective plasma excitations in an external electric field
Abstract
The kinetic theory of a plasma is developed on the basis of a normal mode analysisIn the absence of any external field, the system approaches a ‘plasmadynamical (PD) state’, described by fourteen amplitudes of the PD modes. The corresponding eigenvalues and eigenvectors are constructed explicitly. When an external timedependent electric field is switched on, transitions between these modes determine the evolution of the plasma. Assuming that a PD regime is valid, the kinetic equations reduce to a set of equations describing parametric effects and nonlinear modemode couplings. A new source term, arising from the interference between collisions and external field, also appears. Some qualitative implications are discussed.
 Publication:

Journal of Plasma Physics
 Pub Date:
 October 1976
 DOI:
 10.1017/S0022377800020122
 Bibcode:
 1976JPlPh..16..129B
 Keywords:

 Electric Fields;
 Kinetic Theory;
 Laser Fusion;
 Plasma Oscillations;
 Coupled Modes;
 Eigenvalues;
 Eigenvectors;
 Energy Transfer;
 Kinetic Equations;
 Linear Equations;
 Particle Collisions;
 Perturbation Theory;
 Plasma Control;
 Time Dependence;
 Plasma Physics