Ion-acoustic waves in a two-electron-temperature plasma: oblique modulation and envelope excitations

2003 ◽  
Vol 36 (47) ◽  
pp. 11901-11913 ◽  
Author(s):  
I Kourakis ◽  
P K Shukla
Keyword(s):  
Electron Temperature ◽  
Acoustic Waves ◽  
Ion Acoustic Waves ◽  
Temperature Plasma ◽  
Ion Acoustic

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

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.

Modulational instability of obliquely modulated ionacoustic waves in a two-electron-temperature plasma

1985 ◽  
Vol 33 (2) ◽  
pp. 209-217 ◽  
Author(s):  
Yashvir ◽  
T. N. Bhatnagar ◽  
S. R. Sharma
Keyword(s):  
Electron Temperature ◽  
Acoustic Waves ◽  
Modulational Instability ◽  
Perturbation Technique ◽  
Collisionless Plasma ◽  
Maximum Growth ◽  
Maximum Growth Rate ◽  
Ion Acoustic Waves ◽  
Temperature Plasma ◽  
Damping Rate

The unstable domain in the (k, Ø) plane for oblique modulation of ion-acoustic waves, in a two-electron-temperature plasma, is investigated using the KBM perturbation technique. It is shown that, in a collisionless plasma, the maximum growth rate for the modulational instability, for large carrier-wave amplitudes (a0 ≳ 0·1), exceeds the electron Landau damping rate for sufficiently oblique modulation.

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.

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.

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