On the theory of Buneman's instability in hot ion plasma

El-Naggar, I.A.; Khalil, Sh. M.; Sizonenko, V.L.

doi:10.1017/s0022377800021371

Cited by 7 publications

(9 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Let's expand f t and @ in Fourier series as: is the momentum vector with a components p i , , pI parallel and perpendicular to k , and the integration in (8) is carried over pil with fixed pL. On applying a Fourier.…”

Section: (Ftmentioning

confidence: 99%

Kinetic Nonlinear Buneman's Instability in Field‐Free Isothermal Collisonal Plasma

Khalil

Sayed

1994

Contrib. Plasma Phys.

Self Cite

View full text Add to dashboard Cite

A nonlinear dispersion relation is derived and solved for a 1-D electron-ion two-stream (Buneman) instability excited in an isothermal field-free plasma. The major nonlinear mechanism is the qualilinear modification of the background distribution function. We take into consideration the effect of Coulomb collisions which describes the broadening of the Cherenkov interaction of waves with particles. Nonlinear effects seem to lead, in field-free plasma, to the increase in the current velocity and consequently, to the growth of the instability and a rapid turbulent heating of plasma electrons. The methods used here to solve the Vlasov's kinetic equation may also be used to investigate other types of current micro-instabilities in plasmas.Since the pioneering work of BUNEMAN [l], there has been a revival interest in BUNEMAN'S (or electron-ion two-stream) instability due its connection with the thermal conductivity of laser-heated plasma, plasma heating by relativistic electron beam return currents, and ion acceleration in the nonlinear stage of this instability.This type of instability is excited hydrodynamically [2, 31 when the relative streaming velocity between electrons and ions is much exceeds the electron thermal velocity (u B V,,, u = u, -ui), as in early stages of various pulsed heating experiments (0 -pinch, turbulent heating). The excitation of BUNEMAN'S instability leads to a strong turbulence state of the plasma. Accordingly a strong turbulent heating of the plasma leads to a rapid increase of the threshold current velocity (ut,,) of the instability up to a valaue u. Therefore, it will be of great interest to investigate this instability at a current velocities close to the threshold values, i.e., at Au = u -uCh G u,,,. Besides, at u N VTe the instability is excited kinetically [4-81.In the present work, the development of the kinetic electron-ion two-stream instability (BUNEMAN'S instability) excited in an isothermal (17; = K), field-free plasma is investigated in the nonlinear approximation by considering the quasilinear modification of the background distribution function.Generalizing previous investigations [4 -61, we consider the effect of pair Coulomb collisions.We start by considering the influence of the quasilinear effects near the threshold of the instability and by taking into consideration the pair Coulomb collisions, the field-free Vlasov's kinetic equation is:

show abstract

Section: (Ftmentioning

confidence: 99%

Kinetic Nonlinear Buneman's Instability in Field‐Free Isothermal Collisonal Plasma

Khalil

Sayed

1994

Contrib. Plasma Phys.

Self Cite

View full text Add to dashboard Cite

show abstract

“…This causes currents ), the current Buneman's instability arises. This type of instability is excited kinetically [13] [14], however, it is excited hydrodynamically when u considerably exceeds a certain threshold value ( )…”

Section: Introductionmentioning

confidence: 99%

Kinetic Electron-Ion Two Streams Instability in Space Dusty Plasma with Temperature Gradient

Khalil¹,

Albaltan²

2015

IJAA

View full text Add to dashboard Cite

The excitation, growing and damping of current instability is an important and vital subject for a lot of studies through its importance in communication for instance and in understanding the nature of space and the interpretation of many phenomena in space and astrophysics. Recent analytical and numerical works are presented to describe and investigate the excitation and growing of kinetic electron-ion two streams instability in anisotropic inhomogeneous dusty space plasmas. We elucidated the thermal effects of plasma species on the characteristics of such instability. It is found that the gradient of space plasma temperature, magnetized plasma and dust grains, are also found to play a crucial role in the growth and depression of such instability.

show abstract

“…This approach has permitted considerable insight into the important role of transverse transport of the oscillation energy with the group velocity out of the beam region in determining the behavior of the beam-plasma interaction [3][4][5][6][7][8].…”

Section: Introductionmentioning

confidence: 99%

The Effects of Relativistic Warm Plasma Waveguide and High Frequency Electrical Field on Beam-Plasma Interaction

El-Shorbagy

2007

Acta Phys. Pol. A

View full text Add to dashboard Cite

The paper is concerned with investigation of the influence of an intense high frequency electric field and relativistic warm plasma waveguide on electrostatic oscillations of nonuniform bounded plasma. The stabilizing effect of a strong high frequency (pump) electrical field on beam-plasma interaction in a cylindrical relativistic warm plasma waveguide is discussed. A new mathematical technique "separation method" was applied to the two-fluid plasma model to separate the equations, which describe the system, into two parts, time and space parts. Plasma electrons are considered to have a relativistic, thermal velocity. It is shown that a high frequency electric field has no essential influence on dispersion characteristics of unstable surface waves excited in a relativistic warm plasma waveguide by a low-density electron beam. The region of instability is only slightly narrowing and the growth rate decreases by a small parameter and this result was reduced comparing to cold, nonrelativistic plasma. Also, it is found that the plasma electrons did not affect the solution of the space part of the problem.

show abstract

On the theory of Buneman's instability in hot ion plasma

Cited by 7 publications

References 13 publications

Kinetic Nonlinear Buneman's Instability in Field‐Free Isothermal Collisonal Plasma

Kinetic Nonlinear Buneman's Instability in Field‐Free Isothermal Collisonal Plasma

Kinetic Electron-Ion Two Streams Instability in Space Dusty Plasma with Temperature Gradient

The Effects of Relativistic Warm Plasma Waveguide and High Frequency Electrical Field on Beam-Plasma Interaction

Contact Info

Product

Resources

About