Dispersion and damping rates of dispersive Alfvén wave in a nonextensive plasma

Liu, Y.; Liu, S. Q.; Dai, Bing; Xue, Tsing

doi:10.1063/1.4869243

Cited by 17 publications

(16 citation statements)

References 26 publications

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“…(3a)-(3f), almost all tensor components are given in terms of partial derivatives of the function Z (α,β) n,κ (µ, ξ). These derivatives can be easily computed from the direct function, if one uses relations derived from the definitions (20).…”

Section: (µ ξ)mentioning

confidence: 99%

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The general dielectric tensor for bi-kappa magnetized plasmas

2016

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In this paper we derive the dielectric tensor for a plasma containing particles described by an anisotropic superthermal (bi-kappa) velocity distribution function. The tensor components are written in terms of the two-variables kappa plasma special functions, recently defined by Gaelzer and Ziebell [Phys. Plasmas 23, 022110 (2016)]. We also obtain various new mathematical properties for these functions, which are useful for the analytical treatment, numerical implementation and evaluation of the functions and, consequently, of the dielectric tensor. The formalism developed here and in the previous paper provides a mathematical framework for the study of electromagnetic waves propagating at arbitrary angles and polarizations in a superthermal plasma.

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Section: (µ ξ)mentioning

confidence: 99%

“…Using a cylindrical coordinate system and defining the nondimensional integration variables t = v ⊥ /w ⊥s and u = v /w s , one obtains, after some straightforward algebra, the unified form n,κ (µ, ξ) and their derivatives, given by Eqs. (20) and (22). In this way, one arrives at the final expressions shown in Eqs.…”

Section: Asymptotic Expansionsmentioning

confidence: 99%

The general dielectric tensor for bi-kappa magnetized plasmas

2016

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“…The same approach was adopted on the more recent works by Basu [] and Liu et al [] in order to obtain expressions for the dispersion relations of the DAW. These authors were able to provide expressions for both the kinetic and inertial Alfvén waves, after expanding the Bessel functions in the case of small Larmor radius and using either the power series or the asymptotic expansions for

Z_{κ}^{((), α, β)}

.…”

Section: The Dispersion Relations For Dawmentioning

confidence: 99%

The dispersion relations of dispersive Alfvén waves in superthermal plasmas

Gaelzer

Ziebell

2014

JGR Space Physics

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The effects of velocity distribution functions (VDFs) that exhibit a power law dependence on the high-energy tail have been the subject of intense research by the space plasma community. Such functions, known as superthermal or kappa distributions, have been found to provide a better fitting to the VDF measured by several spacecraft in the plasma environment of the solar wind. In the literature, the general treatment for waves excited by (bi-)Maxwellian plasmas is well established. However, for kappa distributions, either isotropic or anisotropic, the wave characteristics have been studied mostly for the limiting cases of purely parallel or perpendicular propagation. Contributions for the general case of obliquely propagating waves have been scarcely reported so far. In this work we introduce a mathematical formalism that provides expressions for the dielectric tensor components and subsequent dispersion relations for oblique propagating dispersive Alfvén waves (DAWs) resulting from a kappa VDF. We employ an isotropic distribution, but the methods used here can be easily applied to more general anisotropic distributions, such as the bi-kappa or product-bi-kappa. The effect of the kappa index and thermal corrections on the dispersion relations of DAW is discussed.

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“…Start from the nonextensive statistics, the dispersion of the plasma oscillations in a collisionless plasma has been revisited and renewed [25,26]. Theoretical results on ion acoustic waves [27] and dispersive Alfvén waves [28] in nonextensive plasmas have been reported, as well as experimental observation data which fits well with the model based on Tasllis statistics [29]. In particular, the collisionless damping of the GAM in two-component electron-ion plasmas with nonextensively distributed ions has been studied from the linear gyrokinetic theory [30], in which the effect of finite electron temperature is neglected.…”

Section: Introductionmentioning

confidence: 99%

Collisionless Damping of Geodesic Acoustic Mode in a Multi‐Ion Plasma with Superthermal Ions

Liu

2015

Contrib. Plasma Phys.

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The dispersion relation of geodesic acoustic mode is investigated in a multi-ion toroidal plasma on the basis of linear gyrokinetic equations where ions are assumed to take a nonextensive distribution. It is found that the frequency of GAM becomes larger with the decrease of q. Consequently, GAM will damp more rapidly. The effective charge corresponding to the maximum damping rate is found to move towards unity as q decreases. As indicates that in a plasma with superthermal bulk ions, the influence of the impurity ion on the damping rate is weakened.

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Dispersion and damping rates of dispersive Alfvén wave in a nonextensive plasma

Cited by 17 publications

References 26 publications

The general dielectric tensor for bi-kappa magnetized plasmas

The general dielectric tensor for bi-kappa magnetized plasmas

The dispersion relations of dispersive Alfvén waves in superthermal plasmas

Collisionless Damping of Geodesic Acoustic Mode in a Multi‐Ion Plasma with Superthermal Ions

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