Effect of non‐extensivity parameter <i>q</i> on the damping rate of dust ion acoustic waves in non‐extensive dusty plasma

Rehman, Aman‐ur; Ahmad, Masood; Hamza, Muhammad

doi:10.1002/ctpp.201800038

Cited by 7 publications

(4 citation statements)

References 29 publications

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“…The nonextensive parameter q has two different ranges. One is 1/3 < q < 1 (super-extensive case) and the other is q > 1 (subextensive case) [33]. The q-nonextensive distribution is efficiently applicable to those physical systems which exhibit long-range interactions, e.g.…”

Section: Introductionmentioning

confidence: 99%

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Kinetic theory of dust ion-acoustic waves in the presence of hybrid Cairns-Tsallis distributed electrons

Bilal¹,

Rehman²,

Mahmood³

et al. 2022

Phys. Scr.

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On the basis of well-known kinetic theory, the dispersion properties and Landau damping rate of dust ion-acoustic waves (DIAWs), with hybrid non-thermal Cairns-Tsallis distributed (CTD) electrons, Maxwellian distributed ions and static charged dust particles (positively & negatively), in non-thermal dusty plasmas are investigated. The novel features of normalized real frequency (ω_{r}/ω_{pi}) and damping rate (γ/ω_{pi}) of DIAWs are introduced with the incorporation of different physical parameters, such as electron-to-ion temperature ratio (θ_{e,i}), normalized wave number (kλ_{D_{e}}), dust concentration (Λ), and the simultaneous effects of non-extensivity q & non-thermality α, for both super-extensive (q<1) and sub-extensive (q>1) cases. It is found that these parameters influence the dispersion relation and damping rate along with the presence of positively and negatively charged dust. The coexistence of α and q reveals that the phase velocity of DIAWs increases by increasing the value of non-thermality and decreasing the value of non-extensivity parameters for both q<1 and q>1 cases. On the other hand, the reverse trend is observed for the Landau damping rate i.e., DIAWs exhibits weak damping by increasing the value of (α) and decreasing the value (q) in both super-extensive and sub-extensive plasmas. A comparison of dispersion properties and damping rate in both q<1 and q>1 cases is also highlighted. The present findings also compared with the limiting cases i.e. Cairns, q-nonextensive and Maxwellian distributions. This study is effectively applicable for such space and laboratory environments where the non-thermal dusty plasma exists.

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Section: Introductionmentioning

confidence: 99%

“…DIAWs in Maxwellian and non-Maxwellian (non-thermal) plasmas with a single non-thermality parameter were investigated by different researchers [1,8,14,33,42]. In recent years, special attention has been paid to the hybrid CTDF using a kinetic approach for linear plasma mode analysis.…”

Section: Introductionmentioning

confidence: 99%

Kinetic theory of dust ion-acoustic waves in the presence of hybrid Cairns-Tsallis distributed electrons

Bilal¹,

Rehman²,

Mahmood³

et al. 2022

Phys. Scr.

Self Cite

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“…Only small amplitude DIAWs were investigated and both soliton polarities were shown to exist. Rehman et al [33] studied the effect of electrons and ions non-extensivity on the damping rate of DIAWS in nonextensive dusty plasma. Bansal et al [34] investigated nonlinear electron acoustic wave modulation in a plasma system featuring non-extensive hot electrons.…”

Section: Introductionmentioning

confidence: 99%

Role of electrons non-extensivity on the fully nonlinear dust-ion acoustic solitary waves

2021

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Fully nonlinear dust-ion acoustic solitary waves are investigated in a multi-species plasma model comprised of warm positive mobile ions with a non-zero ion temperature, non-extensive electrons and negatively charged dust particles. Basic plasma system is reduced to a single energy integral using pseudopotential analysis without sorting to any perturbations or approximation scheme. Existence regions of positive and negative dust-ion acoustic waves as well as soliton profile are determined through phase portrait analysis and numerical investigations. Effects of the electrons non-extensivity parameter, temperature ratios, fractional densities and soliton speeds on both soliton polarities profiles and their corresponding pseudopotentials show that existence domains and soliton characteristics are inherently affected in the considered plasma regime. Bifurcation analysis as well as numerical investigations, revealed that only negative soliton polarities exist for plasma parameters observed in the Earth’s auroral ionosphere.

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“…The applications of nonextensive plasmas are widely found in astrophysical and cosmological scenarios [32], and plasma dynamics [28,33], Hamiltonian systems [34] with long-range interaction, and nonlinear gravitational model [35]. The influences of nonextensive plasma particles on different traveling waves were reported on works [36][37][38][39][40][41]. Recently, works [42][43][44] studied shock and solitary EAWs using the nonextensive distribution in plasmas.…”

Section: Introductionmentioning

confidence: 99%

Phase plane analysis of small amplitude electron-acoustic supernonlinear and nonlinear waves in magnetized plasmas

2020

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Phase plane analysis of small amplitude electron-acoustic supernonlinear and nonlinear waves in a magnetized nonextensive electron-ion plasma is examined. These electron-acoustic waves (EAWs) are studied based on the Korteweg–de Vries (KdV) and modified Korteweg–de Vries (mKdV) equations. The dynamical systems for both the KdV and mKdV equations are formed using the propagating wave transfiguration. Phase plane analyses of EAWs corresponding to the KdV and mKdV equations are shown. Analytical solution corresponding to the electron-acoustic solitary wave for the KdV equation is derived. Analytical forms of kink, anti-kink and periodic wave solutions in ranges −1 < q < 0 and 0 < q < 1 are obtained for the mKdV equation. Superperiodic EAWs under the mKdV equation in the range q > 1 are shown numerically. Existence of small amplitude superperiodic EAWs under the mKdV equation is shown for the first time in a magnetized nonextensive electron-ion plasma using the concept of planar dynamical systems. Effects of system parameters on different traveling wave solutions of EAWs are displayed. Outcome of the study can be implemented to understand nonlinear and supernonlinear EAWs in space and atmosphere, such as, auroral zones and magnetosphere.

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Effect of non‐extensivity parameter q on the damping rate of dust ion acoustic waves in non‐extensive dusty plasma

Cited by 7 publications

References 29 publications

Kinetic theory of dust ion-acoustic waves in the presence of hybrid Cairns-Tsallis distributed electrons

Kinetic theory of dust ion-acoustic waves in the presence of hybrid Cairns-Tsallis distributed electrons

Role of electrons non-extensivity on the fully nonlinear dust-ion acoustic solitary waves

Phase plane analysis of small amplitude electron-acoustic supernonlinear and nonlinear waves in magnetized plasmas

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