Propagation characteristics and reflection of an ion-acoustic soliton in an inhomogeneous plasma having warm ions

1989 ◽  
Vol 41 (1) ◽  
pp. 185-197 ◽  
Author(s):  
Sanjay Singh ◽  
R. P. Dahiya
Keyword(s):  
Inhomogeneous Plasma ◽  
Landau Damping ◽  
Propagation Characteristics ◽  
Ion Temperature ◽  
Reflected Wave ◽  
Ion Acoustic ◽  
Soliton Amplitude ◽  
Ion Acoustic Soliton ◽  
Local Speed ◽  
Peak Value

The problem of propagation of an ion-acoustic soliton and its reflection in a weakly inhomogeneous plasma is considered, taking into account the effect of finite ion temperature. A reductive perturbation analysis is carried out to obtain expressions for the local speed, amplitude and width of the soliton. The peak value of the soliton amplitude increases and the soliton width decreases with increasing ion temperature. An equation describing the dependence of the reflected-wave amplitude on ion temperature is obtained. The amplitude of the reflected wave is observed to decrease with increasing ion temperature on account of Landau damping.

Propagation of an ion-acoustic soliton in an inhomogeneous plasma

1986 ◽  
Vol 29 (1) ◽  
pp. 294 ◽  
Author(s):  
Hong-Young Chang ◽  
Santwana Raychaudhuri ◽  
Jacqueline Hill ◽  
Eugene K. Tsikis ◽  
Karl E. Lonngren
Keyword(s):  
Inhomogeneous Plasma ◽  
Ion Acoustic ◽  
Ion Acoustic Soliton

Characteristics of collisional damping of surface ion-acoustic mode in Divertor Plasma Simulator-2 (DiPS-2)

2021 ◽  
Vol 87 (6) ◽  
Author(s):  
Myoung-Jae Lee ◽  
In Sun Park ◽  
Sunghoon Hong ◽  
Kyu-Sun Chung ◽  
Young-Dae Jung
Keyword(s):  
Decay Constant ◽  
Argon Plasma ◽  
Acoustic Mode ◽  
Experimental Simulation ◽  
Landau Damping ◽  
Ion Temperature ◽  
Ion Acoustic ◽  
Collisional Damping ◽  
Weakly Ionized ◽  
The Given

The dissipation of ion-acoustic surface waves propagating in a semi-bounded and collisional plasma which has a boundary with vacuum is theoretically investigated and this result is used for the analysis of edge-relevant plasma simulated by Divertor Plasma Simulator-2 (DiPS-2). The collisional damping of the surface wave is investigated for weakly ionized plasmas by comparing the collisionless Landau damping with the collisional damping as follows: (1) the ratio of ion temperature $({T_i})$ to electron temperature $({T_e})$ should be very small for the weak collisionality $({T_i}/{T_e} \ll 1)$ ; (2) the effect of collisionless Landau damping is dominant for the small parallel wavenumber, and the decay constant is given as $\gamma \approx{-} \sqrt {\mathrm{\pi }/2} {k_\parallel }{\lambda _{De}}\omega _{pi}^2/{\omega _{pe}}$ ; and (3) the collisional damping dominates for the large parallel wavenumber, and the decay constant is given as $\gamma \approx{-} {\nu _{in}}/16$ , where ${\nu _{in}}$ is the ion–neutral collisional frequency. An experimental simulation of the above theoretical prediction has been done in the argon plasma of DiPS-2, which has the following parameters: plasma density ${n_e} = (\textrm{2--9)} \times \textrm{1}{\textrm{0}^{11}}\;\textrm{c}{\textrm{m}^{ - 3}}$ , ${T_e} = 3.7- 3.8\;\textrm{eV}$ , ${T_i} = 0.2- 0.3\;\textrm{eV}$ and collision frequency ${\nu _{in}} = 23- 127\;\textrm{kHz}$ . Although the wavelength should be specified with the given parameters of DiPS-2, the collisional damping is found to be $\gamma = ( - 0.9\;\textrm{to}\; - 5) \times {10^4}\;\textrm{rad}\;{\textrm{s}^{ - 1}}$ for ${k_\parallel }{\lambda _{De}} = 10$ , while the Landau damping is found to be $\gamma = ( - 4\;\textrm{to}\; - 9) \times {10^4}\;\textrm{rad}\;{\textrm{s}^{ - 1}}$ for ${k_\parallel }{\lambda _{De}} = 0.1$ .

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.

Ion acoustic soliton in weakly relativistic magnetized electron–positron–ion plasma

2009 ◽  
Vol 87 (8) ◽  
pp. 861-866 ◽  
Author(s):  
Tarsem Singh Gill ◽  
Amandeep Singh Bains ◽  
Narsehpal Singh Saini
Keyword(s):  
Vries Equation ◽  
Reductive Perturbation Method ◽  
Ion Temperature ◽  
Ion Acoustic Wave ◽  
Ion Plasma ◽  
Electron Positron ◽  
Relativistic Factor ◽  
Ion Acoustic ◽  
Warm Plasma ◽  
Ion Acoustic Soliton

A theoretical investigation was made for the ion acoustic wave in a weakly relativistic magnetized electron-positron-ion warm plasma. A Korteweg-de vries equation (KdV) is derived by using a standard reductive perturbation method. It is found that the presence of ion temperature (σ), ratios of positron-to-electron density (β), electron-to-positron temperature (α), and relativistic factor (Ur) significantly modify solitonic behavior. The authors observed that these parameters considerably change the amplitude and width of the solitary wave.

scholarly journals Measurement of ion temperature by ion-acoustic waves Landau damping in oxide cathode plasma

2015 ◽  
Vol 64 (18) ◽  
pp. 189401
Author(s):  
Hu Guang-Hai ◽  
Jin Xiao-Li ◽  
Zhang Qiao-Feng ◽  
Xie Jin-Lin ◽  
Liu Wan-Dong
Keyword(s):  
Acoustic Waves ◽  
Landau Damping ◽  
Ion Temperature ◽  
Cathode Plasma ◽  
Ion Acoustic Waves ◽  
Oxide Cathode ◽  
Ion Acoustic

Arbitrary-amplitude theory of ion-acoustic solitons in warm multi-fluid plasmas

1989 ◽  
Vol 41 (2) ◽  
pp. 341-353 ◽  
Author(s):  
S. Baboolal ◽  
R. Bharuthram ◽  
M. A. Hellberg
Keyword(s):  
Stationary Wave ◽  
Ion Concentration ◽  
Ion Temperature ◽  
Ion Plasma ◽  
Numerical Theory ◽  
Ion Acoustic ◽  
Wave Forms ◽  
Ion Acoustic Solitons ◽  
Arbitrary Amplitude ◽  
Ion Acoustic Soliton

A recently described numerical theory for obtaining the Sagdeev and real potential profiles of stationary wave forms in a plasma consisting of double-Maxwellian electrons and two or more species of warm ions is used for the study of solitons in such a plasma. The effects of ion temperature and light-ion concentration on rarefactive ion-acoustic soliton profiles in a double-ion plasma obtained with this large-amplitude theory are compared with those predicted from a Korteweg–de Vries equation. Application of the theory to the work of Nakamura and co-workers is discussed, and we draw attention to ion thermal effects.

Ion-acoustic soliton-like waves undergoing Landau damping

2005 ◽  
Vol 343 (5) ◽  
pp. 397-402 ◽  
Author(s):  
Yoshifumi Saitou ◽  
Yoshiharu Nakamura
Keyword(s):  
Landau Damping ◽  
Ion Acoustic ◽  
Ion Acoustic Soliton

scholarly journals Effect of Finite Ion Temperature and Modulational Instability of Ion-Acoustic Waves in Presence of an Inhomogeneous Plasma

1985 ◽  
Vol 40 (4) ◽  
pp. 421-424
Author(s):  
Sikha Bhattacharyya ◽  
R. K. Roy Choudhury
Keyword(s):  
Solitary Waves ◽  
Acoustic Waves ◽  
Modulational Instability ◽  
Inhomogeneous Plasma ◽  
Extended Version ◽  
Ion Temperature ◽  
Ion Acoustic Waves ◽  
Ion Acoustic Solitary Waves ◽  
Ion Acoustic ◽  
Frame Work

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.

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