Dissipative instability of overlimiting electron beam

Rostomyan, E.V.

doi:10.1109/tps.2003.821355

Cited by 20 publications

(21 citation statements)

References 13 publications

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“…The picture described above is valid for e-beams, instability of which is due to induced radiation of the system proper waves by the beam electrons. However, it is known that with increase in beam current the physical nature of e-beam instabilities changes [6,7,[12][13][14]. This is a result of influence of the beam space charge.…”

Section: The Behavior Of Overlimiting Electron Beam Instabilitymentioning

confidence: 99%

“…It is clear that the change of the physical nature of the instability affects on its behavior. This instability sharply differs from the instability of conventional (underlimiting) e-beams: (1) its growth rate attains maximum at the point of exact Cherenkov resonance, (2) it is of nonradiative type, and (3) with increase in dissipation, it turns to a new type of DSI [6,14].…”

Section: The Behavior Of Overlimiting Electron Beam Instabilitymentioning

confidence: 99%

“…In order to consider the solutions, we look them in the form ω ¼ ku þ δ, δ << ku. The DR (27) reduces to [1,6].…”

Section: Statement Of the Problem: Analysis Of The Drmentioning

confidence: 99%

“…transform to the single known type of DSI. However, it turned out that other types of DSI also exist [6][7][8]. Changes in some basic physical parameters and/or system geometry lead to significant changes in physical nature of e-stream interaction with plasma.…”

Section: Introductionmentioning

confidence: 99%

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The Behavior of Streaming Instabilities in Dissipative Plasma

Rostomyan¹

2019

Plasma Science and Technology - Basic Fundamentals and Modern Applications

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An approach is presented that allows getting detailed information on the behavior of streaming instabilities (SI) from the dispersion relation (DR). The approach is based on general assumptions and does not refer to any particular model and/or type of the stream interaction with background system (Cherenkov, cyclotron, etc.). The basis of the approach is transformation of the DR to an equation for slowly varying amplitude of the developing waveform. The solution of the equation actually presents results of the important problem of time evolution of initial perturbation and gives detailed information on the instability behavior. Most of the information is unavailable by other methods. For particular SI, only two parameters should be specified. The expression for the fields' structure shows that with increase in level of dissipation, SI gradually turns to dissipative streaming instability (DSI). Two new, previously unknown types of DSI are presented: DSI of overlimiting electron beam and DSI under weak beam-plasma coupling. Growth rates of these DSI depend on dissipation more critically than usual. Presented approach is valid for a large class of SI: beam-plasma instabilities of various types (Cherenkov, cyclotron, etc.) including over-limiting e-beam instabilities, the instability in spatially separated beam-plasma systems, Buneman instability, etc.

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Section: The Behavior Of Overlimiting Electron Beam Instabilitymentioning

confidence: 99%

Section: The Behavior Of Overlimiting Electron Beam Instabilitymentioning

confidence: 99%

“…In order to consider the solutions, we look them in the form ω ¼ ku þ δ, δ << ku. The DR (27) reduces to [1,6].…”

Section: Statement Of the Problem: Analysis Of The Drmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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The Behavior of Streaming Instabilities in Dissipative Plasma

Rostomyan¹

2019

Plasma Science and Technology - Basic Fundamentals and Modern Applications

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“…Among them dissipation plays an important role [2], particularly in dense fusion plasma. Strong dissipation transforms instability to that of dissipative type [3][4][5], which have been widely discussed in context of explanation various phenomena in fusion plasma.…”

mentioning

confidence: 99%