A dispersion function for plasmas containing superthermal particles

Mace, R. L.; Hellberg, M. A.

doi:10.1063/1.871296

Cited by 281 publications

(196 citation statements)

References 13 publications

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“…More complicated size distributions combine an exponential behaviour with a power-law decay (Raadu 2001) and lead to a description in terms of κ-distributions (Summers & Thorne 1991;Mace & Hellberg 1995;Hellberg et al 2005). Power-law density decreases with size, as in (20), are typical for different space plasma environments.…”

Section: Dust Size Distributionsmentioning

confidence: 99%

Nonlinear electrostatic modes in astrophysical plasmas with charged dust distributions

Verheest

Yaroshenko

2009

A&A

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Context. Most theoretical investigations of wave phenomena in dusty plasmas have treated charged dust as additional heavy negative ions in standard multispecies models. Many dusty plasma experiments use monodisperse grains, but charged (and neutral) grains in space environments come in a whole range of sizes and compositions, hence in masses and charges. Dust density distributions having a power-law decay with size are often observed in planetary rings. Aims. There is a need to investigate larger solitary structures, since wave descriptions involving charged dust distributions have usually been limited to linear or weakly nonlinear modes. Methods. Sagdeev pseudopotential methods describe large-amplitude solitary waves in a co-moving reference frame and are adapted to include dust distributions, using mass and charge, or alternatively size, as additional variables. Observed power-law distributions lead to descriptions involving hypergeometric functions. Results. Lower limits for possible solitary wave velocities follow from requiring that the Sagdeev pseudopotentials have a local maximum for the undisturbed conditions, whereas upper limits come from ensuring that dust densities remain real. Nonlinear amplitudes increase with solitary wave velocities and relative electron temperature. Under similar plasma conditions, dust size distributions admit slower solitary wave solutions, with correspondingly smaller amplitudes than given by monodisperse dust models. For typical planetary ring conditions, the difference can be quite appreciable.

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Section: Dust Size Distributionsmentioning

confidence: 99%

Nonlinear electrostatic modes in astrophysical plasmas with charged dust distributions

Verheest

Yaroshenko

2009

A&A

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“…16,18 We note that a well-defined value of requires Ͼ 3 / 2. 10,21 The formulation set out above has been followed by numerous papers on waves in kappa plasmas and related calculations, e.g., Refs. 7, 9, and 21-44 and many others.…”

Section: ͑5͒mentioning

confidence: 99%

Comment on “Mathematical and physical aspects of Kappa velocity distribution” [Phys. Plasmas 14, 110702 (2007)]

Hellberg¹,

Mace²,

Baluku³

et al. 2009

Physics of Plasmas

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A recent paper [L.-N. Hau and W.-Z. Fu, Phys. Plasmas 14, 110702 (2007)] deals with certain mathematical and physical properties of the kappa distribution. We comment on the authors’ use of a form of distribution function that is different from the “standard” form of the kappa distribution, and hence their results, inter alia for an expansion of the distribution function and for the associated number density in an electrostatic potential, do not fully reflect the dependence on κ that would be associated with the conventional kappa distribution. We note that their definition of the kappa distribution function is also different from a modified distribution based on the notion of nonextensive entropy.

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“…Sometimes this type of particles can be governed by non-Maxwellian high-energy tail distribution which is known as generalized Lorentzian (kappa) distribution [12,13,14,15,16,17,18,19,20,22,21]. The relationship between kappa distribution to the Maxwellian distribution was first introduced by Vasylinuas [12].…”

Section: Introductionmentioning

confidence: 99%

Rogue waves in space dusty plasmas

2017

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The modulational instability of dust-acoustic (DA) waves (DAWs), and corresponding DA rogue waves (DARWs) in a realistic space dusty plasma system (containing inertial warm positively and negatively charged dust, isothermal ions, and nonthermal kappa distributed electrons) has been theoretically investigated. The nonlinear Schrödinger (NLS) equation is derived by using reductive perturbation method for this investigation. It is observed that the dusty plasma system under consideration supports two modes, namely fast and slow modes, and that both of these two modes can be stable or unstable depending the sign of ratio of the dispersive and nonlinear coefficients. The numerical analysis have shown that the basic features (viz. stability/instabilit, growth rate, amplitude, etc.) of the DAWs associated with the fast mode are significantly modified by superthermal parameter (κ) and other various plasma parameters. The results of our present investigation should be useful for understanding DARWs in space plasma systems, viz. mesosphere and ionospehre.

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A dispersion function for plasmas containing superthermal particles

Cited by 281 publications

References 13 publications

Nonlinear electrostatic modes in astrophysical plasmas with charged dust distributions

Nonlinear electrostatic modes in astrophysical plasmas with charged dust distributions

Comment on “Mathematical and physical aspects of Kappa velocity distribution” [Phys. Plasmas 14, 110702 (2007)]

Rogue waves in space dusty plasmas

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