Modulation Instability of Ion-Acoustic Waves in Plasma with Nonthermal Electrons

Ghosh, Basudev; Banerjee, Sudeshna Ghosh

doi:10.1155/2014/785670

Cited by 15 publications

(6 citation statements)

References 31 publications

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“…Further, hot places will have high temperatures and will be more viscous as compared to cold places in a fluid. To discuss the modulational stability or instability of the ion temperature gradient mode in electron-ion plasma, we know from previous observations (Ghosh and Banerjee, 2014;Chowdhury et al, 2018Chowdhury et al, , 2019Sultana and Kourakis, 2011) that the product of LM can provide information about modulational stability and instability for the mode. There are three main conditions for the modulational waves.…”

Section: Resultsmentioning

confidence: 99%

Modulational Stability Analysis of Ion Temperature Gradient Mode in Electron-ion Plasma

Aziz

Ullah

Haque

et al. 2022

KJS publishes peer-review articles in Mathematics, Computer Sci

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A theoretical investigation of the modulational stability of the ion temperature gradient (ITG) mode in electron–ion plasma is presented. To examine linear features of dynamic species in plasma, we used reduction perturbation to solve Braginskii’s transportation equations and get phase and group velocities. The results reveal that ion species velocities are affected by plasma factors such as ion temperature, density, and ion temperature gradient coefficient, among others. We also find a nonlinear Schrodinger equation. This equation shows that the plasma dynamics depends on the coefficients of nonlinearity and dissipation of the nonlinear Schrodinger equation. These coefficients are strongly related to the plasma variables. The present investigation may be helpful in space and laboratory plasma, e.g., fusion confinement devices.

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Section: Resultsmentioning

confidence: 99%

Modulational Stability Analysis of Ion Temperature Gradient Mode in Electron-ion Plasma

Aziz

Ullah

Haque

et al. 2022

KJS publishes peer-review articles in Mathematics, Computer Sci

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“…Observing the same effect at nearly opposite ends of spatial and timescales of MI in physics is a convincing argument confirming the validity of the finding. It means that similar phenomena at other scales such as MI in plasma (39) or in Bose-Einstein condensate (40) must also be reexamined. In optics, the extension of the range of frequencies leading to MI might have multiple applications for generating frequency combs (41), periodic pulse trains (42), and supercontinuum radiation (43).…”

Section: Significancementioning

confidence: 99%

“Extraordinary” modulation instability in optics and hydrodynamics

Vanderhaegen

Naveau

Szriftgiser

et al. 2021

Proc. Natl. Acad. Sci. U.S.A.

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The classical theory of modulation instability (MI) attributed to Bespalov–Talanov in optics and Benjamin–Feir for water waves is just a linear approximation of nonlinear effects and has limitations that have been corrected using the exact weakly nonlinear theory of wave propagation. We report results of experiments in both optics and hydrodynamics, which are in excellent agreement with nonlinear theory. These observations clearly demonstrate that MI has a wider band of unstable frequencies than predicted by the linear stability analysis. The range of areas where the nonlinear theory of MI can be applied is actually much larger than considered here.

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“…It is an important area of investigation in different quantum systems due to their significance in understanding the various processes leading to the growth and decay of excitations of waves and noises under various circumstances [19]. Different types of instabilities like modulational, parametric, and streaming have been studied extensively for a long time in the context of quantum plasma [20][21][22][23][24][25][26] in general. Recent studies have provided a thorough analysis of the many instabilities that might arise in semiconducting quantum plasma [27][28][29].…”

Section: Introductionmentioning

confidence: 99%

Temperature-induced disruptive growth rate behavior due to streaming instability in semiconductor quantum plasma with nanoparticles

Sharma,

Luitel,

Ali

et al. 2024

J. Phys.: Condens. Matter

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The nature of the growth rate due to streaming instability in a Semiconductor quantum plasma implanted with nanoparticles has been analyzed using the Quantum Hydrodynamic Model. In this study, the intriguing effect of temperature, beam electron speed, and electron-hole density on growth rate and frequency is investigated. The results show that the growth rate demonstrates a nonlinear behavior, strongly linked to the boron implantation, beam electron streaming speed and quantum correction factor. A noteworthy finding in this work is the discontinuous nature of the growth rate of streaming instability in boron implanted semiconducting plasma system. The implantation leads to a gap in the growth rate which further gets enhanced upon increase in concentration of implantation. This behavior is apparent only for a specific range of the ratio of thermal speed of the electrons to that of the holes.

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Modulation Instability of Ion-Acoustic Waves in Plasma with Nonthermal Electrons

Cited by 15 publications

References 31 publications

Modulational Stability Analysis of Ion Temperature Gradient Mode in Electron-ion Plasma

Modulational Stability Analysis of Ion Temperature Gradient Mode in Electron-ion Plasma

“Extraordinary” modulation instability in optics and hydrodynamics

Temperature-induced disruptive growth rate behavior due to streaming instability in semiconductor quantum plasma with nanoparticles

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