Effect of finite ion temperature on modulational instability of ion-acoustic waves

1978 ◽  
Vol 68 (1) ◽  
pp. 54-56 ◽  
Author(s):  
S.R. Sharma ◽  
K.C. Swami ◽  
R.S. Tiwari
2010 ◽  
Vol 76 (2) ◽  
pp. 169-181 ◽  
Author(s):  
A. ESFANDYARI-KALEJAHI ◽  
I. KOURAKIS ◽  
M. AKBARI-MOGHANJOUGHI

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.


Gases ◽  
2021 ◽  
Vol 1 (3) ◽  
pp. 148-155
Author(s):  
Subrata Banik ◽  
Nadiya Mehzabeen Heera ◽  
Tasfia Yeashna ◽  
Md. Rakib Hassan ◽  
Rubaiya Khondoker Shikha ◽  
...  

A generalized plasma model with inertial warm ions, inertialess iso-thermal electrons, super-thermal electrons and positrons is considered to theoretically investigate the modulational instability (MI) of ion-acoustic waves (IAWs). A standard nonlinear Schrödinger equation is derived by applying the reductive perturbation method. It is observed that the stable domain of the IAWs decreases with ion temperature but increases with electron temperature. It is also found that the stable domain increases by increasing (decreasing) the electron (ion) number density. The present results will be useful in understanding the conditions for MI of IAWs which are relevant to both space and laboratory plasmas.


2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Basudev Ghosh ◽  
Sreyasi Banerjee

Modulational instability of ion-acoustic waves has been theoretically investigated in an unmagnetized collisionless plasma with nonthermal electrons, Boltzmann positrons, and warm positive ions. To describe the nonlinear evolution of the wave amplitude a nonlinear Schrödinger (NLS) equation has been derived by using multiple scale perturbation technique. The nonthermal parameter, positron concentration, and ion temperature are shown to play significant role in the modulational instability of ion-acoustic waves and the formation of envelope solitons.


1985 ◽  
Vol 40 (4) ◽  
pp. 421-424
Author(s):  
Sikha Bhattacharyya ◽  
R. K. Roy Choudhury

Using an extended version of K. B. M. method we have investigated the effect of finite ion temperature on ion-acoustic solitary waves. Modulational instability has been discussed in a frame work of nonlinear Schrödinger equation. Some numerical results are also given.


1996 ◽  
Vol 56 (2) ◽  
pp. 229-236
Author(s):  
Ijaz-Ur Rahman Durrani

The propagation of ion acoustic waves in an inhomogeneous plasma is studied in the presence of finite ion temperature. The standard nonlinear Schrödinger equation is obtained, and the regions of instability are plotted. It is claimed that these extraneous factors tend to lower the value of the critical wavenumber.


1996 ◽  
Vol 56 (2) ◽  
pp. 221-228
Author(s):  
Ijaz-Ur-Rahman Durrani

We extend previous work by Buti to include the effect of ion temperature and investigate how the instability range is modified in the simultaneous presence of collisions and ion temperature. A salient feature of the calculations is that waves that were stable in the collisionless case for certain values of the wavenumber k now become unstable.


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