Nonextensive dust-acoustic solitary waves

Tribeche, Mouloud; Merriche, Abderrzak

doi:10.1063/1.3561789

Cited by 119 publications

(81 citation statements)

References 24 publications

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“…Decker and Krimigis 2003;Decker et al 2005;Heerikhuisen et al 2008Livadiotis et al 2011Livadiotis et al , 2013Livadiotis and McComas 2012a), and (3) other various plasma-related analyses (e.g. Milovanov and Zelenyi 2000;Saito et al 2000;Leubner 2004;Raadu and Shafiq 2007;Baluku et al 2010;Livadiotis and McComas 2009, 2010a, 2011bLe Roux et al 2010;Eslami et al 2011;Kourakis et al 2012; see also the work of Tribeche and collaborators in dusty plasmas, e.g., Tribeche et al 2009Tribeche and Bacha 2010;Tribeche and Merriche 2011;Roy et al 2012;Bains et al 2013). Because BG Statistical Mechanics cannot adequately describe non-equilibrium plasmas, new advances were required.…”

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confidence: 99%

Understanding Kappa Distributions: A Toolbox for Space Science and Astrophysics

2013

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In this paper we examine the physical foundations and theoretical development of the kappa distribution, which arises naturally from non-extensive Statistical Mechanics. The kappa distribution provides a straightforward replacement for the Maxwell distribution when dealing with systems in stationary states out of thermal equilibrium, commonly found in space and astrophysical plasmas. Prior studies have used a variety of inconsistent, and sometimes incorrect, formulations, which have led to significant confusion about these distributions. Therefore, in this study, we start from the N -particle phase space distribution and develop seven formulations for kappa distributions that range from the most general to several specialized versions that can be directly used with common types of space data. Collectively, these formulations and their guidelines provide a "toolbox" of useful and statistically well-grounded equations for future space physics analyses that seek to apply kappa distributions in data analysis, simulations, modeling, theory, and other work.

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confidence: 99%

Understanding Kappa Distributions: A Toolbox for Space Science and Astrophysics

2013

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“…Such q-nonextensive distribution has been widely used to study various nonlinear coherent structures like solitons, double layers or shocks etc. [22][23][24][25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

Modulation of ion-acoustic waves in a nonextensive plasma with two-temperature electrons

2015

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We study the amplitude modulation of ion-acoustic wave (IAW) packets in an unmagnetized electron-ion plasma with two-temperature (cool and hot) electrons in the context of the Tsallis' nonextensive statistics. Using the multiple-scale technique, a nonlinear Schrödinger (NLS) equation is derived which governs the dynamics of modulated wave packets. It is shown that in nonextensive plasmas, the IAW envelope is always stable for long-wavelength modes (k → 0) and unstable for short-wavelengths with k > ∼ 1. However, the envelope can be unstable at an intermediate scale of perturbations with 0 < k < 1. Thus, the modulated IAW packets can propagate in the form of bright envelope solitons or rogons (at small-and medium scale perturbations) as well as dark envelope solitons (at large scale). The stable and unstable regions are obtained for different values of temperature and density ratios as well as the nonextensive parameters qc and q h for cool and hot electrons. It is found that the more (less) the population of superthermal cool (hot) electrons, the smaller is the growth rate of instability with cutoffs at smaller wave numbers of modulation.

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“…The physical explanation for the parameter q different from unity was represented for the nonequilibrium plasma system with Coulombian long-range interactions 19 . Many of the basic characteristics of electron-ion plasmas and dusty plasmas have been investigated under the condition of the power-law q-distributions, such as electron and ion dust charging process 26 , ion acoustic waves [27][28][29][30][31][32][33] , dust acoustic waves [34][35][36][37] , solitary waves 29,[36][37][38] , electron acoustic waves [39][40][41] , and Jeans' instability in space plasma 42,43 , etc. Nevertheless, according to present knowledge, the usually employed q-distribution function is not factorized for kinetic and potential energies because without considering the nonextensivity of the energy.…”

Section: Introductionmentioning

confidence: 99%

Dust charging processes in the nonequilibrium dusty plasma with nonextensive power-law distribution

Gong

2012

Physics of Plasmas

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The dust charging processes in the collections of electrons and ions in the nonequilibrium dusty plasma with power-law distributions are investigated on the basic of a new q-distribution function theory in nonextensive statistics. Electrons and ions obey the power-law distributions and are with q-parameters different from each other. We derive the generalized formulae for the dust charging currents in which the nonextensive effects play roles. Further we investigate the dust charging processes taking place in the homogeneous dusty plasma where only the particle velocities are power-law distributions and in the dust cloud plasma where the particle velocities and densities are both power-law distributions. By numerical analyses, we show that the nonextensive power-law distributions of electrons and ions have significant effects on the dust charging processes in the nonequilibrium dusty plasma.

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Nonextensive dust-acoustic solitary waves

Cited by 119 publications

References 24 publications

Understanding Kappa Distributions: A Toolbox for Space Science and Astrophysics

Understanding Kappa Distributions: A Toolbox for Space Science and Astrophysics

Modulation of ion-acoustic waves in a nonextensive plasma with two-temperature electrons

Dust charging processes in the nonequilibrium dusty plasma with nonextensive power-law distribution

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