Plasma permittivity of weakly ionized inhomogeneous magnetized plasmas

The density response function for streaming ions in homogeneous, parallel electric and magnetic fields is derived self-consistently from kinetic theory. Ion-neutral collisions are treated with the Bhatnagar-GrossKrook collision operator assuming a constant ion-neutral collision frequency. The result accounts for the nonMaxwellian distribution function of the ions and is valid in the full range from weak to strong magnetization. It provides the basis for various linear response calculations in the context of magnetized complex plasmas, where streaming ions interact with highly charged dust particles under the influence of a strong external magnetic field. Magnetic fields play an important role in plasma physics because they allow one to confine and manipulate charged particles externally. Plasma properties such as wave spectra, particle diffusion, heat conduction, or plasma instabilities can be strongly modified when the plasma is magnetized. Strong magnetic fields of several Tesla are not only encountered in magnetic confinement or magnetic liner inertial fusion experiments [1] but have also become of interest for complex plasmas research [2,3]. By adjusting the magnetic field strength it is possible to create plasma states where only the electrons, electrons and ions, or possibly all three charged particle species including the dust particles are magnetized [4]. Several new phenomena have been observed in experiments with magnetic fields, including a slow rotation of the entire dust cloud [5][6][7][8][9], the spinning of dust particles [10], and complicated flow patterns [11]. In recent experiments with strong magnetic fields on the order of a few Tesla, sufficient to magnetize not only the electrons but the ions as well, filaments appeared in the discharge [12]. The dynamics of a dust particle pair also showed a pronounced response to magnetic fields of this magnitude [13]. Experiments performed at the Magnetized Dusty Plasma Experiment (MDPX) at Auburn University [14] further demonstrate that ordered structures of a titanium mesh can be imposed on the dust particles under these conditions. Crystalline and strongly coupled fluid states [15,16] also occur naturally in dusty plasmas due to the strong Coulomb interaction between the grains. Even though the dust particles themselves are difficult to magnetize [17], their screened interaction, and thus, their collective behavior, can be affected significantly by an external magnetic field [18].Dusty plasma experiments are often confronted with ion flows due to electric fields, especially in the sheath region. They affect the charging of the dust grains [19], their mutual interaction due to the formation of wake potentials [20,21], and give rise to drag forces [22,23]. Under the influence of an electric field the ion velocity distribution may considerably differ from a displaced Maxwellian due to collisions with the neutral gas. Various phenomena related to the interaction between ions and dust particles have been shown to be crucially affected by the different dist...

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“…For this purpose one returns to Eqs. (26), (28) and (32) and performs the summation of the infinite series of Bessel functions analytically.…”

Section: Integral Form Of Susceptibilitymentioning

confidence: 99%

“…Crossed electric and magnetic fields with a finite flow along the magnetic field, introduced via a Doppler-shift of the frequency, were treated in Ref. [28]. The result presented here accounts for the non-Maxwellian ion velocity distribution and should be useful to extend the study of ion-dust streaming * Corresponding author.…”

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confidence: 99%

Streaming Complex Plasmas: Ion Susceptibility for a Partially Ionized Plasma in Parallel Electric and Magnetic Fields

Kählert

Joost

Ludwig

et al. 2016

Contrib. Plasma Phys.

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“…In addition, in dc discharges, the influence of the longitudinal electric field should also be considered. The result for the plasma permittivity, which has been derived recently (Kiss'ovski and Shivarova 1995), takes care of all these effects and allows evaluation in terms of a dispersion behaviour of the LF drift-wave instability. Obtained, in fact, for this purpose, it includes not only first but also second-order terms with respect to the E ×B drift velocity and the plasma inhomogeneity, i.e.…”

Section: Introductionmentioning

confidence: 99%

“…Here the dispersion relation of the LF drift waves in weakly-ionized, weakly-magnetized plasmas of dc gas discharges is derived by using the result for the plasma permittivity obtained by Kiss'ovski and Shivarova (1995). The spectrum and the conditions for instability of the waves are obtained.…”

Section: Introductionmentioning

confidence: 99%

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confidence: 99%

See 1 more Smart Citation

Low-frequency drift-wave instability in dc discharges

Kiss’ovski

1997

Plasma Phys. Control. Fusion

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The result for the permittivity of weakly ionized, weakly magnetized plasmas obtained by Kiss'ovski and Shivarova (1995) is analysed aiming at a description of the behaviour of low-frequency instabilities in dc discharges maintained at comparatively high gas pressures. The spectrum and the condition of instability of low-frequency drift waves arising in the discharges under conditions of comparatively high collision frequency ν in ∼ ω ci and finite ion gyroradius ρ i < R are derived. (Here ω ci and ρ i are the ion gyrofrequency and gyroradius, respectively, ν in is the ion-neutral collision frequency and R is the plasma column radius.) Results from numerical analysis are compared with experimental data previously obtained (Kiss'ovski et al 1994).

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Plasma permittivity of weakly ionized inhomogeneous magnetized plasmas

Cited by 2 publications

References 4 publications

Streaming Complex Plasmas: Ion Susceptibility for a Partially Ionized Plasma in Parallel Electric and Magnetic Fields

Streaming Complex Plasmas: Ion Susceptibility for a Partially Ionized Plasma in Parallel Electric and Magnetic Fields

Low-frequency drift-wave instability in dc discharges

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