The frequency and damping of ion-acoustic waves

1980 ◽  
Vol 58 (4) ◽  
pp. 565-568 ◽  
Author(s):  
A. J. Barnard ◽  
C. Gulizia
Keyword(s):  
Dispersion Relation ◽  
Electron Temperature ◽  
Acoustic Waves ◽  
Ion Temperature ◽  
Ion Acoustic Waves ◽  
Ion Acoustic

The dispersion relation for a plasma with different ion and electron temperatures is solved numerically to obtain the frequency and the damping constant for ion-acoustic waves as a function of the wavenumber. It is shown that the commonly used expressions for these variables only apply if the parameter T = ziTe/Ti is larger than 20, and can lead to large errors if T is close to 1. (Here z1 is the ion charge, Te is the electron temperature, and Ti the ion temperature.) Tables and graphs of the frequency and damping as functions of the wavenumber are given for different values of T.

Nonlinear modulation of ion-acoustic waves in two-electron-temperature plasmas

2010 ◽  
Vol 76 (2) ◽  
pp. 169-181 ◽  
Author(s):  
A. ESFANDYARI-KALEJAHI ◽  
I. KOURAKIS ◽  
M. AKBARI-MOGHANJOUGHI
Keyword(s):  
Electron Temperature ◽  
Acoustic Waves ◽  
Modulational Instability ◽  
Perturbation Technique ◽  
Density Ratio ◽  
Cold Electron ◽  
Ion Temperature ◽  
Ion Acoustic Waves ◽  
Ion Acoustic ◽  
Nonlinear Modulation

AbstractThe amplitude modulation of ion-acoustic waves is investigated in a plasma consisting of adiabatic warm ions, and two different populations of thermal electrons at different temperatures. The fluid equations are reduced to nonlinear Schrödinger equation by employing a multi-scale perturbation technique. A linear stability analysis for the wave packet amplitude reveals that long wavelengths are always stable, while modulational instability sets in for shorter wavelengths. It is shown that increasing the value of the hot-to-cold electron temperature ratio (μ), for a given value of the hot-to-cold electron density ratio (ν), favors instability. The role of the ion temperature is also discussed. In the limiting case ν = 0 (or ν → ∞), which correspond(s) to an ordinary (single) electron-ion plasma, the results of previous works are recovered.

Dispersion relation for ion-acoustic waves

1971 ◽  
Vol 19 (9) ◽  
pp. 1188-1191 ◽  
Author(s):  
M.M. Abbas ◽  
F.B. Cooper
Keyword(s):  
Dispersion Relation ◽  
Acoustic Waves ◽  
Ion Acoustic Waves ◽  
Ion Acoustic

Effect of finite ion-temperature on ion-acoustic solitary waves in an inhomogeneous plasma

1981 ◽  
Vol 59 (6) ◽  
pp. 719-721 ◽  
Author(s):  
Bhimsen K. Shivamoggi
Keyword(s):  
Solitary Wave ◽  
Solitary Waves ◽  
Acoustic Waves ◽  
Inhomogeneous Plasma ◽  
Ion Temperature ◽  
Ion Acoustic Waves ◽  
Weakly Nonlinear ◽  
Ion Acoustic Solitary Waves ◽  
Ion Acoustic ◽  
Velocity Of Propagation

The propagation of weakly nonlinear ion–acoustic waves in an inhomogeneous plasma is studied taking into account the effect of finite ion temperature. It is found that, whereas both the amplitude and the velocity of propagation decrease as the ion–acoustic solitary wave propagates into regions of higher density, the effect of a finite ion temperature is to reduce the amplitude but enhance the velocity of propagation of the solitary wave.

Weakly relativistic effect on the modulation of nonlinear ion-acoustic waves in a warm plasma

1995 ◽  
Vol 54 (3) ◽  
pp. 295-308 ◽  
Author(s):  
S. K. El-Labany
Keyword(s):  
Perturbation Theory ◽  
Acoustic Waves ◽  
Relativistic Effect ◽  
Type Equation ◽  
Oscillatory Solution ◽  
Ion Temperature ◽  
Ion Acoustic Waves ◽  
Ion Density ◽  
Ion Acoustic ◽  
Warm Plasma

The derivative expansion perturbation method is applied to investigate the modulation of nonlinear ion-acoustic waves in a weakly relativistic warm plasma. At the second order of perturbation theory, a nonlinear Schrödingertype equation for the complex amplitude of the perturbed ion density is obtained. The coefficients in this equation show that the condition of modulational stability is modified by the relativistic effect as well as by the finite ion temperature. The association between the small-wavenumber limit of the nonlinear Schrödinger-type equation and the oscillatory solution of the Korteweg-de Vries equation obtained by reductive perturbation theory is considered. Different limits are considered in order to compare with previous work.

Ion-acoustic wave instability driven by drifting electrons in a generalized Lorentzian distribution

1992 ◽  
Vol 47 (3) ◽  
pp. 445-464 ◽  
Author(s):  
Zhaoyue Meng ◽  
Richard M. Thorne ◽  
Danny Summers
Keyword(s):  
Electron Temperature ◽  
Acoustic Waves ◽  
Debye Length ◽  
High Energy ◽  
Dispersion Function ◽  
Electron Drift ◽  
Kappa Distribution ◽  
Ion Acoustic Waves ◽  
High Energy Tail ◽  
Ion Acoustic

A generalized Lorentzian (kappa) particle distribution function is useful for modelling plasma distributions with a high-energy tail that typically occur in space. The modified plasma dispersion function is employed to study the instability of ion-acoustic waves driven by electron drift in a hot isotropic unmagnetized plasma modelled by a kappa distribution. The real and imaginary parts of the wave frequency ω0 + ιγ are obtained as functions of the normalized wavenumber kλD, where λD is the electron Debye length. Marginal stability conditions for instability are obtained for different ion-to-electron temperature ratios. The results for a kappa distribution are compared with the classical results for a Maxwellian. In all cases studied the ion-acoustic waves are strongly damped at short wavelengths, kλD ≫ 1, but they can be destabilized at long wavelengths. The instability for both the kappa and Maxwellian distributions can be quenched by increasing the ion-electron temperature ratio Ti/Te. However, both the marginally unstable electron drift velocities and the growth rates of unstable waves can differ significantly between a generalized Lorentzian and a Maxwellian plasma; these differences are also influenced by the value of Ti/Te.

Propagation of Ion-Acoustic Waves in a Two-Electron-Temperature Plasma

1975 ◽  
Vol 35 (20) ◽  
pp. 1349-1352 ◽  
Author(s):  
W. D. Jones ◽  
A. Lee ◽  
S. M. Gleman ◽  
H. J. Doucet
Keyword(s):  
Electron Temperature ◽  
Acoustic Waves ◽  
Ion Acoustic Waves ◽  
Temperature Plasma ◽  
Ion Acoustic

Weakly nonlinear dust ion-acoustic waves in a charge varying dusty plasma with non-thermal electrons

2008 ◽  
Vol 74 (2) ◽  
pp. 245-259 ◽  
Author(s):  
MOULOUD TRIBECHE ◽  
ABDERREZAK BERBRI
Keyword(s):  
Dusty Plasma ◽  
Acoustic Waves ◽  
Oscillatory Behavior ◽  
Ion Temperature ◽  
Ion Acoustic Waves ◽  
Weakly Nonlinear ◽  
Ion Acoustic ◽  
De Vries ◽  
Dust Ion Acoustic Waves ◽  
A Charge

AbstractThe weakly nonlinear dynamics of dust ion-acoustic waves (DIAWs) are investigated in a dusty plasma consisting of hot ion fluid, variable charge stationary dust grains and non-thermally distributed electrons. The Korteweg–de Vries equation, as well as the Korteweg–de Vries–Burgers equation, are derived on the basis of the well-known reductive perturbation theory. It is shown that, due to electron non-thermality and finite ion temperature, the present dusty plasma model can support compressive as well as rarefactive DIA solitary waves. Furthermore, there may exist collisionless DIA shock-like waves which have either monotonic or oscillatory behavior, the properties of which depend sensitively on the number of fast non-thermal electrons. The results complement and provide new insights into previously published results on this problem (Mamun, A. A. and Shukla, P. K. 2002 IEEE Trans. Plasma Sci. 30, 720).

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