Gardner solitons in dusty plasmas with nonextensive ions and two-temperature superthermal electrons

Emamuddin, M.; Mamun, A. A.

doi:10.1007/s10509-014-1861-7

Cited by 8 publications

(8 citation statements)

References 87 publications

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“…The natural, artificial and social complex systems to which S q and its associated statistical mechanics have been applied are very diverse. They include long-range interacting many-body Hamiltonian systems (see [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30] for an overview) of various types and symmetries (let us incidentally mention that long-range versions of the interesting types focused on in [31,32] have not yet been handled), as well as non-Hamiltonian ones [33], low-dimensional dynamical systems [34][35][36][37][38][39][40][41][42][43][44][45][46][47], cold atoms [48][49][50], plasmas [51][52][53][54][55][56][57][58][59], trapped atoms…”

mentioning

confidence: 99%

On the foundations of statistical mechanics

Tsallis

2017

Eur. Phys. J. Spec. Top.

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We briefly review the foundations and applications of statistical mechanics based on the nonadditive entropies S q. Then we address four frequently focused points, namely (i) On the form of the constraints within a variational entropy principle; (ii) Are the q-indices first-principle-computable quantities or fitting parameters?; (iii) If one admits violation of the entropic additivity, why not admitting also violation of the entropic extensivity?; and (iv) Critical-like behavior.

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confidence: 99%

On the foundations of statistical mechanics

Tsallis

2017

Eur. Phys. J. Spec. Top.

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“…The linear properties of these cases are very well understood from theoretical and experimental points of view [28,29]. During the last few years, there are many great efforts put forward in nonlinear systems to understand the dynamics of solitons, and shock waves and their strong correlation in dusty plasma for different plasma parameters, such as electron and proton number densities, electron, proton and ion temperatures, and the strength of the nonextensivity [30][31][32].…”

Section: Introductionmentioning

confidence: 99%

“…There are number of papers dealing with dynamical changes of the Gardner solitary and shock waves in unmagnetized plasma containing ions, negatively charged immobile dust, hot electrons and protons, as Refs. [6,31,33,34] which investigated the electron-acoustic Gardner solitons in a nonextensive electron-positron-ion plasma system. They used the reductive perturbation method to derive the Gardner equation.…”

Section: Introductionmentioning

confidence: 99%

Exact Solutions of the Gardner Equation and their Applications to the Different Physical Plasmas

Dağhan

Dönmez

2016

Braz J Phys

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“…Though, there are a number of works in the literature dealing with the Gardner solitons in plasmas (See, e.g., Ref. 23), however, all are based on fluid theory approach and thus without the effects of Landau damping.…”

Section: Introductionmentioning

confidence: 99%

Landau damping of Gardner solitons in a dusty bi-ion plasma

Misra

Barman

2015

Physics of Plasmas

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The effects of linear Landau damping on the nonlinear propagation of dust-acoustic solitary waves (DASWs) are studied in a collisionless unmagnetized dusty plasma with two species of positive ions. The extremely massive, micron-seized, cold and negatively charged dust particles are described by fluid equations, whereas the two species of positive ions, namely the cold (heavy) and hot (light) ions are described by the kinetic Vlasov equations. Following Ott and Sudan [Phys. Fluids 12, 2388], and by considering lower and higher-order perturbations, the evolution of DASWs with Landau damping is shown to be governed by Korteweg-de Vries (KdV), modified KdV (mKdV) or Gardner (KdV-mKdV)-like equations. The properties of the phase velocity and the Landau damping rate of DASWs are studied for different values of the ratios of the temperatures (σ) and the number densities (µ) of hot and cold ions as well the cold to hot ion mass ratio m. The distinctive features of the decay rates of the amplitudes of the KdV, mKdV and Gardner solitons with a small effect of Landau damping are also studied in different parameter regimes. It is found that the Gardner soliton points to lower wave amplitudes than the KdV and mKdV solitons. The results may be useful for understanding the localization of solitary pulses and associated wave damping (collisionless) in laboratory and space plasmas (e.g., the F-ring of Saturn) in which the number density of free electrons is much smaller than that of ions and the heavy, micron seized dust grains are highly charged.

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Gardner solitons in dusty plasmas with nonextensive ions and two-temperature superthermal electrons

Cited by 8 publications

References 87 publications

On the foundations of statistical mechanics

On the foundations of statistical mechanics

Exact Solutions of the Gardner Equation and their Applications to the Different Physical Plasmas

Landau damping of Gardner solitons in a dusty bi-ion plasma

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