Theory of LargeAmplitude Oscillations in a Plasma
Abstract
The damping rate of a largeamplitude electron wave in one dimensional plasma is derived by using the first order perturbation. As the unperturbed solution, the stationary state of Bernstein, Greene and Kruskal’s theory is employed. It is shown that the damping rate is proportional to the depth of trapping trough and also there exists an upper limit of the depth for stable sideband oscillations.
 Publication:

Journal of the Physical Society of Japan
 Pub Date:
 August 1976
 DOI:
 10.1143/JPSJ.41.658
 Bibcode:
 1976JPSJ...41..658K
 Keywords:

 Electron Plasma;
 Plasma Oscillations;
 Plasma Physics;
 Vibration Damping;
 Wave Propagation;
 Correlation;
 Electron Energy;
 Perturbation Theory;
 Plasma Frequencies;
 Plasma Waves;
 Sidebands;
 SturmLiouville Theory;
 Vlasov Equations;
 Plasma Physics