Nonlinear dust acoustic waves in a charge varying complex plasma with nonthermal ions featuring Tsallis distribution

Benzekka, Moufida; Tribeche, Mouloud

doi:10.1007/s10509-011-0908-2

Cited by 21 publications

(4 citation statements)

References 51 publications

(37 reference statements)

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“…[21,38] Because no damping effect resulting from collisions between the dust and the plasma populations is involved, this shock wave is collisionless. [21,39] The latter shows the appearance of some oscillations in the shock wave profile. These oscillations (which are due to the effect of separation of charges) decrease as the ions evolve far away from their Maxwellian trapping (i.e., when 𝛼 increases).…”

Section: 2mentioning

confidence: 97%

“…A result, which agrees with those already obtained by Tribeche and collaborators. [21,39] For a good understanding, we have also carried a numerical investigation over a large gamut of plasma parameters and have remarked that the collisionless damping (due to the dust charge fluctuation) is strongly related to the constant 𝛿 (see Equation (34)). In particular, we have observed that the lower values of 𝛿 favour the generation of dissipative structures, while higher values of 𝛿 are required for the existence of coherent ones.…”

Section: 2mentioning

confidence: 99%

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Low‐frequency variable charge solitary waves in a collisionless dusty plasma with a Cairns‐Gurevich ion velocity distribution

Fellah

Kerrouchi

Amour

2021

Contributions to Plasma Physics

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In this paper, the problem of large amplitude dust acoustic (DA) solitons has been addressed in a charge varying dusty plasma with ions following a Cairns-Gurevich distribution. Based on the orbit motion limited approach, the correct Cairns-Gurevich ion charging current is presented for the first time. The expression relating the variable dust charge to the plasma potential is given in terms of the Lambert function and we take advantage of this transcendental function to, carefully, analyse DA solitons in a charge varying dusty plasma with trapped nonthermal ions. Our results show that the spatial patterns of the variable charge solitary wave are significantly changed due to the presence of ion population modelled by the Cairns-Gurevich distribution. An addition of a small concentration of trapped nonthermal ions makes the solitary structure less spiky, grows the net negative charge residing on the dust grain surface, and contributes to the electron depletion. Finally, our investigation is extended to highlight the effect of the grain dust charge variation. We have shown that under certain conditions, the impact of dust charge fluctuation may furnish an alternate physical mechanism rasing anomalous dissipation, which becomes more strong and may predominate over the dispersion as the nonthermal character of ions following the Cairns-Gurevich distribution increases.

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Section: 2mentioning

confidence: 97%

Section: 2mentioning

confidence: 99%

Low‐frequency variable charge solitary waves in a collisionless dusty plasma with a Cairns‐Gurevich ion velocity distribution

Fellah

Kerrouchi

Amour

2021

Contributions to Plasma Physics

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“…In 2012, this hybrid CTDF was introduced by Benzekka and Tribeche to study the non-linear dust acoustic waves (DAWs) in complex plasmas. [35] From 2012 to 2020, various studies have been presented by using this hybrid distribution for linear and non-linear plasmas given in the Refs. [36][37][38][39][40][41][42][43][44][45] Recently, IAWs have been studied in Vasyliunas-Cairns distributed plasmas with two non-thermal parameters (𝜅, 𝛼).…”

Section: Introductionmentioning

confidence: 99%

Landau damping of ion‐acoustic waves with simultaneous effects of non‐extensivity and non‐thermality in the presence of hybrid Cairns‐Tsallis distributed electrons

Bilal

Rehman

Mahmood

et al. 2022

Contributions to Plasma Physics

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The dispersion properties and Landau damping rate of ion-acoustic waves (IAWs) with the hybrid Cairns-Tsallis distributed (CTD) electrons and Maxwellian ions are investigated using the plasma kinetic model based on Vlasov-Poisson's equations. For both super-extensive (q < 1) and sub-extensive (q > 1) plasmas, the dielectric response function, real frequency, and Landau damping rate of IAWs are derived. By taking the effect of θ i, e (ion-to-electron temperature ratio) into account, it is found that with the increase of ion temperature, the real frequency and wave dispersion effects increase as well (for both super-extensive and sub-extensive cases). Exploring the properties of the Landau damping rate of IAWs with the simultaneous presence of non-thermal parameter α and non-extensive parameter q, a comparison of numerical and analytical results is presented. It is found that in different ranges of θ e, i (electron-to-ion temperature ratio), on decreasing the values of the non-extensive parameter and increasing values of the non-thermal parameter, the weak damping rate is observed (vice versa) in super-extensive or super-thermal plasma, although the trend of the damping rate in sub-thermal plasma is similar (as in the case of super-thermal plasma) but is less weak. It is further revealed that the damping rate of IAWs in thermal plasmas (Maxwellian) is stronger than the damping rate of IAWs in the case of non-thermal plasmas (CTD). The current study is applicable to provide deep insight and further allow the exploration of electrostatic plasma modes in different space and laboratory plasma environments where the hybrid CTD plasma exists.

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“…One may verify that the CTDF is also a generalization of Maxwellian distribution by applying both these limits (α = 0 and q → 1) simultaneously. First, the hybrid CTDF is outlined by Benzekka and Tribeche [40] to investigate the nonlinear dust acoustic waves (DAWs) in charge varying complex plasmas. Later, Tribeche et al used this physically meaningful hybrid distribution to analyze ion-acoustic solitary waves and suggested that providing a better fit of the space observations because of the flexibility provided by the non-extensive (q) parameter [41].…”

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.

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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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Nonlinear dust acoustic waves in a charge varying complex plasma with nonthermal ions featuring Tsallis distribution

Cited by 21 publications

References 51 publications

Low‐frequency variable charge solitary waves in a collisionless dusty plasma with a Cairns‐Gurevich ion velocity distribution

Low‐frequency variable charge solitary waves in a collisionless dusty plasma with a Cairns‐Gurevich ion velocity distribution

Landau damping of ion‐acoustic waves with simultaneous effects of non‐extensivity and non‐thermality 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

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