The asymptotic behavior of Buneman instability in dissipative plasma

Rostomyan, E.V.

doi:10.1063/1.5001950

Cited by 4 publications

(10 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the absence of dissipation the velocities of unstable perturbations range from 0 to the group velocity v 0 . The length of the induced wave train increases as l ≈ v 0 t. The condition [1,16,17]. This once again justifies that high-level dissipation transforms the BI to DSI.…”

Section: Analysis Of the Buneman Instability Behaviormentioning

confidence: 65%

“…One must apply approximate methods to obtain results. Presented here (see also [11]) approach is similar to traditional approach in many respects, but, in the same time, advantageously differs from it. Representation of the fields in form of wave train with slowly varying amplitude (SVA) allowed to overcome the difficulties and to obtain the space-time structure of the fields without reference on any particular model.…”

Section: Introductionmentioning

confidence: 93%

“…Thus, the problem has been reduced to the integration in Eq. (11). It is convenient to transform the variables ω and k to another pair ω and ω 0 ¼ ω À ku.…”

Section: The Behavior Beam-plasma Instabilities In Dissipative Plasmamentioning

confidence: 99%

“…The dynamics of the field in the peak may be obtained by analyzing the Eq. (16). It takes following form…”

Section: Analysis Of the Fields' Dynamicsmentioning

confidence: 99%

“…All these steps are known. So as not to repeat, we at once present resulting expression for the SVA [16]…”

Section: The Behavior Of Thementioning

confidence: 99%

See 4 more Smart Citations

The Behavior of Streaming Instabilities in Dissipative Plasma

Rostomyan¹

2019

Plasma Science and Technology - Basic Fundamentals and Modern Applications

View full text Add to dashboard Cite

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.

show abstract

Section: Analysis Of the Buneman Instability Behaviormentioning

confidence: 65%

Section: Introductionmentioning

confidence: 93%

“…Thus, the problem has been reduced to the integration in Eq. (11). It is convenient to transform the variables ω and k to another pair ω and ω 0 ¼ ω À ku.…”

Section: The Behavior Beam-plasma Instabilities In Dissipative Plasmamentioning

confidence: 99%

“…The dynamics of the field in the peak may be obtained by analyzing the Eq. (16). It takes following form…”

Section: Analysis Of the Fields' Dynamicsmentioning

confidence: 99%

“…All these steps are known. So as not to repeat, we at once present resulting expression for the SVA [16]…”

Section: The Behavior Of Thementioning

confidence: 99%

See 3 more Smart Citations

The Behavior of Streaming Instabilities in Dissipative Plasma

Rostomyan¹

2019

Plasma Science and Technology - Basic Fundamentals and Modern Applications

View full text Add to dashboard Cite

show abstract

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

Rostomyan¹

2020

Plasma Res. Express

View full text Add to dashboard Cite

Dissipative instabilities in beam-plasma systems

Rostomyan¹

2022

EPL

Self Cite

View full text Add to dashboard Cite

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.).

show abstract

The asymptotic behavior of Buneman instability in dissipative plasma

Cited by 4 publications

References 18 publications

The Behavior of Streaming Instabilities in Dissipative Plasma

The Behavior of Streaming Instabilities in Dissipative Plasma

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

Dissipative instabilities in beam-plasma systems

Contact Info

Product

Resources

About