Weibel instability with non-Maxwellian distribution functions

Zaheer, S.; Murtaza, G.

doi:10.1063/1.2536159

Cited by 53 publications

(48 citation statements)

References 19 publications

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“…Also, the Weibel instability has been investigated in Maxwellian, nonMaxwellian, relativistic, and nonrelativistic plasmas. [14][15][16][17] On the other hand, the filamentation instability and magnetic field generation attracts great attention. [18][19][20][21] Califano et al have been studied the linear and nonlinear evolution of the filamentation instability in a collisionless inhomogeneous plasma by using a fluid model in the nonrelativistic and relativistic regimes.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear filamentation of a current-carrying plasma

Niknam

Shokri

2008

Physics of Plasmas

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The nonlinear filamentation in a nonrelativistic collisional current-carrying plasma in the diffusion frequency region is investigated. It is shown that by using the two-fluid plasma equations and Ampere's law and assuming that the plasma is nonisothermal and inhomogeneous, the spatial evolution of the magnetic field in a plasma is described by the Lienard nonlinear differential equation. Also, it is shown that a transverse filamentation and density steepening can occur in the static limit. Furthermore, the profiles of magnetic field and the electron density variation have a nonsinusoidal shape in the nonlinear regime. Moreover it is shown that the shape of the transverse filamentation varies due to the nonlinear effect in the static limit.

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Section: Introductionmentioning

confidence: 99%

Nonlinear filamentation of a current-carrying plasma

Niknam

Shokri

2008

Physics of Plasmas

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“…Other investigations have dealt with more exotic anisotropic distributions, such as waterbag (Yoon and Davidson, 1987) or kappa-distributions (Zaheer and Murtaza, 2007). However, the use of the distribution (8) results in a standard form for the dispersion relation which is useful for various applications.…”

Section: Weibel Dispersion Relationmentioning

confidence: 99%

Weibel instability in a plasma with nonzero external magnetic field

Pokhotelov

Balikhin

2012

Ann. Geophys.

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Abstract. The theory of the Weibel instability is generalized for the case of a plasma immersed in a nonzero external magnetic field. It is shown that the presence of this external field modifies the dispersion relation for this mode which now possesses a nonzero frequency. The explicit expression for the real and imaginary parts of the frequency is then calculated. It turns out that the linear growth rate remains unchanged, whereas the frequency becomes nonzero due to the finite value of the electron cyclotron frequency. The frequency of the Weibel mode is found to be proportional to the electron temperature anisotropy. The formal similarity of the Weibel and drift-mirror instabilities is outlined.

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“…Recently, some new models for nonthermal plasmas ͓such as ͑r , q͒ distribution͔ have been employed to study various electrostatic and electromagnetic waves and instabilities in a dusty/dust free plasmas. [29][30][31][32][33][34] Kinetic Alfvén wave ͑KAW͒ like streaming instabilities in a dusty plasma using a two-potential approach have not been investigated, when the background plasma is kappa distributed. Our aim is to fill in the gap and highlight the influence of kappa distributed ions and unmagnetized dust on the streaming instabilities.…”

Section: Introductionmentioning

confidence: 98%

Kinetic Alfvén wave instability in a Lorentzian dusty magnetoplasma

et al. 2010

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This study presents a theoretical approach to analyze the influence of kappa distributed streaming ions and magnetized electrons on the plasma wave propagation in the presence of dust by employing two-potential theory. In particular, analytical expressions under certain conditions are derived for various modes of propagation comprising of kinetic Alfvén wave streaming instability, two stream instability, and dust acoustic and whistler waves. A dispersion relation for kinetic Alfvén-like streaming instability has been derived. The effects of dust particles and Lorentzian index on the growth rates and the threshold streaming velocity for the excitation of the instability are examined. The streaming velocity is observed to be destabilizing for slow motion and stabilizing for fast streaming motions. It is also observed that the presence of magnetic field and superthermal particles hinders the growth rate of instability. Possible applications to various space and astrophysical situations are discussed.

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Weibel instability with non-Maxwellian distribution functions

Cited by 53 publications

References 19 publications

Nonlinear filamentation of a current-carrying plasma

Nonlinear filamentation of a current-carrying plasma

Weibel instability in a plasma with nonzero external magnetic field

Kinetic Alfvén wave instability in a Lorentzian dusty magnetoplasma

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