# The general dielectric tensor for bi-kappa magnetized plasmas

@article{Gaelzer2016TheGD, title={The general dielectric tensor for bi-kappa magnetized plasmas}, author={R. Gaelzer and Luiz F. Ziebell and Anelise Ramires Meneses}, journal={arXiv: Plasma Physics}, year={2016} }

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…

## 12 Citations

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## References

SHOWING 1-10 OF 33 REFERENCES

Calculation of the dielectric tensor for a generalized Lorentzian (kappa) distribution function

- Physics
- 1994

Expressions are derived for the elements of the dielectric tensor for linear waves propagating at an arbitrary angle to a uniform magnetic field in a fully hot plasma whose constituent particle…

Oblique propagation of electromagnetic waves in a kappa-Maxwellian plasma

- Physics
- 2007

Space plasmas are often observed to contain more particles in the high-energy tail than the usual Maxwellian distributions, and are well modeled by kappa distributions. The hybrid kappa-Maxwellian…

The dispersion relations of dispersive Alfvén waves in superthermal plasmas

- Physics
- 2014

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…

Alfvenic modes in a bi-Maxwellian electron-ion plasma

- Physics
- 2010

Employing linearized Vlasov–Maxwell system, we derive a generalized dielectric tensor for a magnetized nonrelativistic bi-Maxwellian electron-ion plasma. Assuming low frequency waves in a low β…

Effect of Temperature Anisotropy on Various Modes and Instabilities for a Magnetized Non-relativistic Bi-Maxwellian Plasma

- Physics
- 2012

Using kinetic theory for homogeneous collisionless magnetized plasmas, we present an extended review of the plasma waves and instabilities and discuss the anisotropic response of generalized…

Generalized plasma dispersion function for a plasma with a kappa-Maxwellian velocity distribution

- Physics
- 2002

A generalized plasma dispersion function has previously been obtained for waves in plasmas with isotropic kappa distributions for arbitrary real kappa [Mace and Hellberg, Phys. Plasmas 2, 2098…

Obliquely propagating electromagnetic waves in magnetized kappa plasmas

- Physics
- 2015

Velocity distribution functions (VDFs) that exhibit a power-law dependence on the high-energy tail have been the subject of intense research by the plasma physics community. Such functions, known as…

Hydromagnetic waves and instabilities in kappa distribution plasma

- Physics
- 2009

Stability properties of hydromagnetic waves (shear and compressional Alfven waves) in spatially homogeneous plasma are investigated when the equilibrium particle velocity distributions in both…

Continued fraction expansions for the complete, incomplete, and relativistic plasma dispersion functions

- Physics
- 1984

In our investigation of the linear theory of waves in plasma and the stability of relativistic beam‐plasma systems, we have been led to consider methods for the evaluation of integrals of the form…

The modified plasma dispersion function

- Mathematics
- 1991

In the linear theory of waves in a hot plasma if the zeroth‐order velocity distribution function is taken to be Maxwellian, then there arises a special, complex‐valued function of a complex variable…