Nonlinear Stabilization of Resistive Instability of a Tubular Charged Particle Beam Moving above a Solid-State Plasma Cylinder
- Authors: Averkov Y.O.1,2, Prokopenko Y.V.1,3, Yakovenko V.M.1
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Affiliations:
- Usikov Institute for Radiophysics and Electronics, National Academy of Sciences of Ukraine
- Karazin Kharkiv National University
- Kharkiv National University of Radio Electronics
- Issue: Vol 45, No 6 (2019)
- Pages: 565-572
- Section: Beams in Plasma
- URL: https://journals.rcsi.science/1063-780X/article/view/187172
- DOI: https://doi.org/10.1134/S1063780X19060011
- ID: 187172
Cite item
Abstract
Nonlinear stabilization of instability of an infinitely thin tubular electron beam moving along the surface of a solid-state plasma cylinder is analyzed. It is assumed that the electron collision frequency in the plasma cylinder is much higher than the frequency of plasma eigenmodes (oscillations). The beam is assumed to be nonrelativistic, and, thus, the problem is solved in the electrostatic approximation. It is shown that the growth of the wave amplitude is stabilized nonlinearly due to the self-trapping of the beam electrons by the field of the electrostatic wave excited in the beam itself. It is found that the saturation time of instability and the maximum amplitude of the excited wave depend on the radius of the plasma cylinder. It is established that the larger the radius of the plasma cylinder, the later the nonlinear stage of instability begins and the larger the maximum amplitude of the excited wave.
About the authors
Yu. O. Averkov
Usikov Institute for Radiophysics and Electronics, National Academy of Sciences of Ukraine; Karazin Kharkiv National University
Author for correspondence.
Email: yuriyaverkov@gmail.com
Ukraine, Kharkiv, 61085; Kharkiv, 61022
Yu. V. Prokopenko
Usikov Institute for Radiophysics and Electronics, National Academy of Sciences of Ukraine; Kharkiv National University of Radio Electronics
Author for correspondence.
Email: prokopen@ire.kharkov.ua
Ukraine, Kharkiv, 61085; Kharkiv, 61166
V. M. Yakovenko
Usikov Institute for Radiophysics and Electronics, National Academy of Sciences of Ukraine
Author for correspondence.
Email: yavm@ire.kharkov.ua
Ukraine, Kharkiv, 61085