Peculiar behavior of the instability in systems with weak electron beam-plasma coupling

Rostomyan, E.V.

doi:10.1088/2516-1067/ab8076

Plasma Res. Express

2020

DOI: 10.1088/2516-1067/ab8076

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Peculiar behavior of the instability in systems with weak electron beam-plasma coupling

E.V. Rostomyan¹

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2022

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Cited by 1 publication

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“…The second integration (over ω ) cannot be carried out exactly, and we were forced to use the approximate steepest descent method [19]. The result is (in [20] the same result is obtained by another approach)…”

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Dissipative instabilities in beam-plasma systems

Rostomyan¹

2022

EPL

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It is known that all types of beam-plasma instabilities (Cherenkov, cyclotron, etc.) at a high level of dissipation turn into dissipative instability (DI). Until recently, only one type of DI was known in the beam-plasma interaction theory. Its maximal growth rate depends on the beam density n b and the collision frequency ν in the plasma as . However, recent studies have shown the existence of two new, previously unknown types of DI. Here, the new DI are briefly justified from the same viewpoint. This became possible due to the developed approach, which makes it possible to solve completely the classical problem of the development of an initial perturbation for various flow instabilities. The first new DI arises in the results of solving of the problem in systems with weak beam-plasma coupling. Its maximal growth rate is inversely proportional to frequency of collisions in plasma . The second new DI manifests itself in the results of the same problem in a magnetized plasma waveguide with an over-limiting e-beam. Its maximal growth rate is . Besides, the presented method of solving the classical problem deserves attention in itself as it is applicable to all instabilities caused by relative motion of plasma components (all types of beam-plasma instabilities, Buneman instability, etc.).

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“…the carrier frequency ω 0 and wave vector k 0 of which are determined by the resonance conditions (20). As usual, the amplitude E 0 (z, t) is assumed to be slowly varying as compared to ω 0 and k 0 .…”

mentioning

confidence: 99%

Dissipative instabilities in beam-plasma systems

Rostomyan¹

2022

EPL

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Peculiar behavior of the instability in systems with weak electron beam-plasma coupling

Cited by 1 publication

References 15 publications

Dissipative instabilities in beam-plasma systems

Dissipative instabilities in beam-plasma systems

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