Dissipative instability under weak beam–plasma coupling in finite magnetic field

Rostomyan, E.V.

doi:10.1016/j.physleta.2009.05.024

Cited by 9 publications

(7 citation statements)

References 10 publications

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“…The dependence on dissipation becomes more critical. The same instability can be substantiated in finite external magnetic field also [18].…”

Section: The Growth Ratessupporting

confidence: 65%

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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“…The dependence on dissipation becomes more critical. The same instability can be substantiated in finite external magnetic field also [18].…”

Section: The Growth Ratessupporting

confidence: 65%

The Behavior of Streaming Instabilities in Dissipative Plasma

Rostomyan¹

2019

Plasma Science and Technology - Basic Fundamentals and Modern Applications

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“…where fx ðÞis the function given in (21). The dependence of the growth rate on the level of dissipation in (28) coincides to that in (21). In limit λ !…”

Section: New For Various Values Of Dissipation (Parameter Kmentioning

confidence: 54%

New Types of Dissipative Streaming Instabilities

Rostomyan¹

2022

Plasma Science and Technology

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Two new, previously unknown types of dissipative streaming instabilities (DSI) are substantiated. They follow from new approach, which allows solving in general form the classical problem of an initial perturbation development for streaming instabilities (SI). SI is caused by relative motion of the streams of plasma components. With an increase in level of dissipation SI transforms into a DSI. The transformation occurs because dissipation serves as a channel for energy removal for the growth of the negative energy wave of the stream. Until recently, only one type of DSI was known. Its maximal growth rate depends on the beam density nb and the collision frequency ν in the plasma as ∼nb/ν. All types of conventional beam-plasma instabilities (Cherenkov, cyclotron, etc.) transform into it. The solution of the problem of the initial perturbation development in systems with weak beam-plasma coupling leads to a new type of DSI. With an increase in the level of dissipation, the instability in these systems transforms to the new DSI. Its maximal growth rate is ∼nb/ν. The second new DSI develops in beam-plasma waveguide with over-limiting current of e-beam. Its growth rate ∼nb/ν. In addition, the solutions of abovementioned problem provide much information about SI and DSI, significant part of which is unavailable by other methods.

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“…If dissipation in the beam-plasma system is high enough, the conventional beam instability leads to a well-known dissipative beam instability. The effects of dissipation on beam-plasma instabilities have been investigated by Rostomyan et al [11]- [14]. Also, Bret et al have studied the temperature effects on electromagnetic instabilities in the beam-plasma interaction [15,16].…”

Section: Introductionmentioning

confidence: 99%

Low-Frequency Instabilities in the Interaction of Ion Beam With Magnetized Plasma

Khorashadizadeh

Niknam

Rastbood

2012

IEEE Trans. Plasma Sci.

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The low-frequency instabilities in the interaction between an ion beam and a magnetoactive plasma are investigated taking into account the effects of the dissipation and thermal motion of the charged particles. Furthermore, the effects of magnetic field strength, ion beam velocity, and propagation angle on the resonance frequency and the growth rate of the instabilities are studied. It is shown that, according to the strength of the magnetic field and the ion beam velocity, the increase of the thermal velocity of the charged particles can increase or decrease the resonance frequency in the ion acoustic frequency range.Index Terms-Ion-beam-plasma interaction, low-frequency instabilities, magnetoactive plasma.

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Dissipative instability under weak beam–plasma coupling in finite magnetic field

Cited by 9 publications

References 10 publications

The Behavior of Streaming Instabilities in Dissipative Plasma

The Behavior of Streaming Instabilities in Dissipative Plasma

New Types of Dissipative Streaming Instabilities

Low-Frequency Instabilities in the Interaction of Ion Beam With Magnetized Plasma

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