Nonextensive dust acoustic shock structures in complex plasmas

Shahmansouri, M.; Tribeche, Mouloud

doi:10.1007/s10509-013-1430-5

Cited by 25 publications

(6 citation statements)

References 37 publications

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“…At equilibrium, the charge neutrality condition reads as , where , and are the equilibrium density of ions, electrons and dust particles, respectively, and is the number of excess electrons residing on the dust grain surfaces. We can reasonably neglect here the effect of dust charge fluctuation since the dust charging time period (of the order of a micro-second) is much smaller than the time period (of the order of a fraction of a second) of the dust-acoustic waves (Shukla & Mamun 2002; Shahmansouri & Tribeche 2013; Shahmansouri & Mamun 2014 a ; Shahmansouri 2013, 2014; Shahmansouri, Farokhi & Ashouri 2015; Shahmansouri & Mamun 2016). We are interested in studying the dynamics of electronegative dusty plasma expansion in the classical limit by employing the fluid hydrodynamic model.…”

Section: Self-similar Model Of Expansionmentioning

confidence: 99%

Self-similar expansion of adiabatic electronegative dusty plasma

2017

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The self-similar expansion of an adiabatic electronegative dusty plasma (consisting of inertialess adiabatic electrons, inertialess adiabatic ions and inertial adiabatic negatively charged dust fluids) is theoretically investigated by employing the self-similar approach. It is found that the effects of the plasma adiabaticity (represented by the adiabatic index $\unicode[STIX]{x1D6FE}$) and dusty plasma parameters (determined by dust temperature and initial dust population) significantly modify the nature of the plasma expansion. The implications of our results are expected to play an important role in understanding the physics of the expansion of space and laboratory electronegative dusty plasmas.

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Section: Self-similar Model Of Expansionmentioning

confidence: 99%

Self-similar expansion of adiabatic electronegative dusty plasma

2017

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“…Baluku & Helberg (2008) reported an investigation of both small and large amplitude dust-acoustic solitary waves in complex plasmas with cold negative dust grains and kappa-distributed ions and/or electrons. Dust-acoustic shock waves were investigated in a dusty plasma having a high-energy-tail electron distribution with the effects of ion streaming and dust charge variation (Shahmansouri & Tribeche 2013). Recently, we have reported a study on nonlinear dust-acoustic wave propagation in a Lorentzian dusty plasma including the effects of adiabatic and non-adiabatic grain charge fluctuation (Denra, Paul & Sarkar 2016) where the presence of negative ions was not considered.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dust-acoustic wave propagation in a Lorentzian dusty plasma in presence of negative ions

et al. 2018

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In this paper we have studied the effect of the density and temperature of negative ions on the nonlinear dust-acoustic wave propagation in a Lorentzian dusty plasma. We have considered both adiabatic and non-adiabatic dust charge variation. The presence of both low and high populations of negative ions are considered. Separate models have been developed because the two populations give rise to opposite polarity of grain charges. In both models electrons are assumed to follow a kappa velocity distribution while the positive and negative ions satisfy a Maxwellian velocity distribution. Adiabatic dust charge variation shows the propagation of a dust-acoustic soliton in cases of both a high and low population of negative ions whose amplitude depends on the negative ion temperature and negative ion density. On the other hand, non-adiabatic dust charge variation generates a stable oscillatory dust-acoustic shock when the negative ion population is low. An unstable potential has been predicted from this analysis when the negative ion population is high and the dust charge variation is non-adiabatic.

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“…Since Tsallis (1988) proposed the generalization of the Boltzmann–Gibbs–Shanon (BGS) entropy, by adopting a thermo-statistical theory in a way that it becomes non-additive, a great deal of attention has been paid to the Tsallis statistics (Silva, Plastino & Lima 1998; Tsallis 2001; Gell-Mann & Tsallis 2004; Martinenko & Shivamoggi 2004; Dubinova & Dubinov 2006; Tribeche, Djebarni & Amour 2010; El-Awady & Moslem 2011; Alinejad & Shahmansouri 2012; El-Taibany & Tribeche 2012; Shahmansouri & Tribeche 2012; Akhtar, El-Taibany & Mahmood 2013; Bains, Li & Tribeche 2013; Shahmansouri & Tribeche 2013; Shahmansouri & Alinejad 2013 a , b ; Ashraf et al. 2014; El-Shamy, Tribeche & El-Taibany 2014; Ourabah & Tribeche 2014; Rahman & Ali 2014; Akhtar et al.…”

Section: Introductionmentioning

confidence: 99%

Breather structures in degenerate relativistic non-extensive plasma

2017

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We examine the excitation of breather structures in a degenerate relativistic plasma consisting of non-extensive electrons and cold ions. For this purpose, the multiple time scale perturbation technique is used to obtain a nonlinear Schrödinger equation (NLSE). We then consider different localized solutions regarding analytical breather solutions of the NLSE, and examine their properties in the frame of the present plasma system, i.e. a degenerate relativistic non-extensive plasma. The results of the present investigation may be useful for the understanding of the basic features of the nonlinear excitations that may occur in dense astrophysical plasmas.

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Nonextensive dust acoustic shock structures in complex plasmas

Cited by 25 publications

References 37 publications

Self-similar expansion of adiabatic electronegative dusty plasma

Self-similar expansion of adiabatic electronegative dusty plasma

Nonlinear dust-acoustic wave propagation in a Lorentzian dusty plasma in presence of negative ions

Breather structures in degenerate relativistic non-extensive plasma

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