Ion-acoustic solitons in a two electron-temperature plasma consisting of warm ions

1984 ◽  
Vol 62 (1) ◽  
pp. 45-49 ◽  
Author(s):  
P. N. Murthy ◽  
S. G. Tagare ◽  
P. S. Abrol

The effect of finite ion temperature and a small concentration of a cooler electron component on the width and phase velocity ion-acoustic solitons in a plasma with adiabatic ions and isothermal electrons with two electron-temperatures is investigated. A small concentration of a cooler electron component leads to effects qualitatively different from those obtained in a single-electron temperature plasma. By using hydrodynamic equations for warm ions and two-electron temperature plasma, Korteweg–de Vries equation is derived.

1993 ◽  
Vol 174 (5-6) ◽  
pp. 416-420 ◽  
Author(s):  
W.K.M. Rice ◽  
M.A. Hellberg ◽  
R.L. Mace ◽  
S. Baboolal

1985 ◽  
Vol 33 (2) ◽  
pp. 237-248 ◽  
Author(s):  
Y. Nakamura ◽  
J. L. Ferreira ◽  
G. O. Ludwig

Ion-acoustic solitons in a three-component plasma which consists of electrons and positive and negative ions have been investigated experimentally. When the concentration of negative ions is smaller than a certain value, positive or compressive solitons are observed. At the critical concentration, a broad pulse of small but finite amplitude propagates without changing its shape. When the concentration is larger than this value, negative or rarefactive solitons are excited. The velocity and the width of these solitons are measured and compared with predictions of the Korteweg-de Vries equation which takes the negative ions and the ion temperature into consideration. Head-on and overtaking collisions of the rarefactive solitons have been observed to show that the solitons are not affected by these collisions.


1986 ◽  
Vol 36 (2) ◽  
pp. 301-312 ◽  
Author(s):  
S. G. Tagare

Ion-acoustic solitons in a collisionless plasma with adiabatic positive and negative ions with equal ion temperature and isothermal electrons are studied by using the reductive perturbation method. The basic set of fluid equations is reduced for the fast ion-acoustic wave to the Korteweg–de Vries and modified Korteweg–de Vries equation and for the slow ion-acoustic wave to the Korteweg–de Vries equation. Stationary solutions of these equations are obtained and the effect of ion temperature on fast and slow ion-acoustic solitons is investigated.


2020 ◽  
Vol 493 (4) ◽  
pp. 5761-5772 ◽  
Author(s):  
Takumi Ohmura ◽  
Mami Machida ◽  
Kenji Nakamura ◽  
Yuki Kudoh ◽  
Ryoji Matsumoto

ABSTRACT We present the results of two-temperature magnetohydrodynamic simulations of the propagation of sub-relativistic jets of active galactic nuclei. The dependence of the electron and ion temperature distributions on the fraction of electron heating, fe, at the shock front is studied for fe = 0, 0.05, and 0.2. Numerical results indicate that in sub-relativistic, rarefied jets, the jet plasma crossing the terminal shock forms a hot, two-temperature plasma in which the ion temperature is higher than the electron temperature. The two-temperature plasma expands and forms a backflow referred to as a cocoon, in which the ion temperature remains higher than the electron temperature for longer than 100 Myr. Electrons in the cocoon are continuously heated by ions through Coulomb collisions, and the electron temperature thus remains at Te > 109 K in the cocoon. X-ray emissions from the cocoon are weak because the electron number density is low. Meanwhile, X-rays are emitted from the shocked intracluster medium (ICM) surrounding the cocoon. Mixing of the jet plasma and the shocked ICM through the Kelvin–Helmholtz instability at the interface enhances X-ray emissions around the contact discontinuity between the cocoon and shocked ICM.


2000 ◽  
Vol 63 (4) ◽  
pp. 343-353 ◽  
Author(s):  
S. K. EL-LABANY ◽  
S. A. EL-WARRAKI ◽  
W. M. MOSLEM

Cylindrical ion-acoustic solitons are investigated in a warm plasma with negative ions and multiple-temperature electrons through the derivation of a cylindrical Korteweg–de Vries equation using a reductive perturbation theory. The results are compared with those for the corresponding planar solitons.


2020 ◽  
Vol 10 (1) ◽  
Author(s):  
S. K. El-Labany ◽  
W. F. El-Taibany ◽  
E. E. Behery ◽  
Rami Abd-Elbaki

Abstract The interaction (oblique collision) of two ion acoustic solitons (IASs) in a magnetized relativistic degenerate plasma with relativistic degenerate electrons and non-degenerate cold ions is studied. The extended Poincaré–Lighthill–Kuo (PLK) method is used to obtain two Korteweg deVries (KdV) wave equations that describe the interacting IASs, then the phase shifts due to interaction are calculated. We studied influence of the fluid number density on the interaction process, interacting solitons phase shifts and also phase velocities. The introduced model is valid for astrophysical objects with high density matter such as white dwarfs, neutron stars, degenerate electrons gas in metals and laboratory degenerate plasma. An inverse proportionality between the phase shifts, phase velocity and the equilibrium electron fluid number density $$n_{eo}$$ n eo was established in the range $$10^{35}\,{\text {m}}^{-3}>n_{eo}>10^{38}\,{\text {m}}^{-3}$$ 10 35 m - 3 > n eo > 10 38 m - 3 . We found that the soliton waves get sharper (narrower) and higher with increasing the electrons fluid number density $$n_{eo}$$ n eo , and hence less spacial occupying. The phase shifts and the phase velocity remain approximately unchanged in the range of $$10^{35}\,{\text {m}}^{-3}<n_{eo}<10^{38}\,{\text {m}}^{-3}$$ 10 35 m - 3 < n eo < 10 38 m - 3 . The impact of the obliqueness angle $$\theta $$ θ on the soliton interaction process is also studied.


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