Simulations of the ion–dust streaming instability with non-Maxwellian ions

The dust acoustic, or dust density, wave is a very low frequency collective mode in a dusty plasma that is associated with the motion of the charged and massive dust grains. An ion flow due to an electric field can excite these waves via an ion–dust streaming instability. Theories of this instability have often assumed a shifted-Maxwellian ion velocity distribution. Recently, the linear kinetic theory of this instability was considered using a non-Maxwellian ion velocity distribution (Kählert, Phys. Plasmas, vol. 22, 2015, 073703). In this paper, we present one-dimensional PIC simulations of the nonlinear development of the ion–dust streaming instability, comparing the results for these two types of ion velocity distributions, for several values of the ion drift speed and collision rate. Parameters are considered that reflect the ordering of plasma and dust quantities in laboratory dusty plasma experiments. It is found that, in general, the wave energy density is smaller in the simulations with a non-Maxwellian ion distribution.

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Low‐frequency variable charge solitary waves in a collisionless dusty plasma with a Cairns‐Gurevich ion velocity distribution

Contributions to Plasma Physics ◽

10.1002/ctpp.202100035 ◽

2021 ◽

Author(s):

Sabrina Fellah ◽

Slimane Kerrouchi ◽

Rabia Amour

Keyword(s):

Velocity Distribution ◽

Dusty Plasma ◽

Solitary Waves ◽

Low Frequency ◽

Variable Charge ◽

Ion Velocity

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A note on ion–dust streaming instability in a collisional dusty plasma

Journal of Plasma Physics ◽

10.1017/s0022377802001678 ◽

2002 ◽

Vol 67 (4) ◽

pp. 235-242 ◽

Cited By ~ 47

Author(s):

M. ROSENBERG

Keyword(s):

Dusty Plasma ◽

Collision Frequency ◽

Low Frequency ◽

Dusty Plasmas ◽

Dust Acoustic Wave ◽

Ion Drift ◽

Acoustic Instability ◽

Streaming Instability ◽

Dust Acoustic ◽

Thermal Speed

This note investigates an ion-dust streaming instability with frequency ω less than the dust collision frequency νd, in an unmagnetized collisional dusty plasma. Under certain conditions, a resistive instability can be excited by an ion drift on the order of the ion thermal speed, even when the dust acoustic wave is heavily damped. The effect of weak collisions on the usual dust acoustic instability in the regime ω > νd is also considered. Applications to experimental observations of low-frequency fluctuations in laboratory d.c. glow discharge dusty plasmas are discussed.

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Simulations of ion–dust streaming instability in a highly collisional plasma

Journal of Plasma Physics ◽

10.1017/s002237782000135x ◽

2020 ◽

Vol 86 (6) ◽

Author(s):

K. Quest ◽

M. Rosenberg ◽

A. Levine

Keyword(s):

Dusty Plasma ◽

Low Frequency ◽

Collisional Plasma ◽

Ion Flow ◽

Dust Density ◽

Particle In Cell ◽

Nonlinear Development ◽

Nonlinear Phase ◽

Streaming Instability ◽

Flow Speeds

The excitation of low frequency dust acoustic (or dust density) waves in a dusty plasma can be driven by the flow of ions relative to dust. We consider the nonlinear development of the ion–dust streaming instability in a highly collisional plasma, where the ion and dust collision frequencies are a significant fraction of their corresponding plasma frequencies. This collisional parameter regime may be relevant to dusty plasma experiments under microgravity or ground-based conditions with high gas pressure. One-dimensional particle-in-cell simulations are presented, which take into account collisions of ions and dust with neutrals, and a background electric field that drives the ion flow. Ion flow speeds of the order of a few times thermal are considered. Waveforms of the dust density are found to have broad troughs and sharp crests in the nonlinear phase. The results are compared with the nonlinear development of the ion–dust streaming instability in a plasma with low collisionality.

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A Monte Carlo simulation of the effect of ion self-collisions on the ion velocity distribution function in the high-latitude F-region

Annales Geophysicae ◽

10.1007/s00585-994-1076-2 ◽

1994 ◽

Vol 12 (10/11) ◽

pp. 1076-1084 ◽

Cited By ~ 10

Author(s):

I. A. Barghouthi ◽

A. R. Barakat ◽

R. W. Schunk

Keyword(s):

Monte Carlo Simulation ◽

Monte Carlo ◽

Distribution Function ◽

Velocity Distribution ◽

Density Ratio ◽

Neutral Density ◽

Collision Rate ◽

Ion Distribution ◽

Ion Velocity ◽

Collision Models

Abstract. Non-Maxwellian ion velocity distribution functions have been theoretically predicted and confirmed by observations, to occur at high latitudes. These distributions deviate from Maxwellian due to the combined effect of the E×B drift and ion-neutral collisions. The majority of previous literature, in which the effect of ion self-collisions was neglected, established a clear picture for the ion distribution under a wide range of conditions. At high altitudes and/or for solar maximum conditions, the ion-to-neutral density ratio increases and, hence, the role of ion self-collisions becomes appreciable. A Monte Carlo simulation was used to investigate the behaviour of O+ ions that are E×B-drifting through a background of neutral O, with the effect of O+ (Coulomb) self-collisions included. Wide ranges of the ion-to-neutral density ratio ni/nn and the electrostatic field E were considered in order to investigate the change of ion behaviour with solar cycle and with altitude. For low altitudes and/or solar minimum (ni/nn≤ 10-5), the effect of self-collisions is negligible. For higher values of ni/nn, the effect of self-collisions becomes significant and, hence, the non-Maxwellian features of the O+ distribution are reduced. For example, the parallel temperature Ti\\Vert increases, the perpendicular temperature Ti&bottom; decreases, the temperature anisotropy approaches unity and the toroidal features of the ion distribution function become less pronounced. Also, as E increases, the ion-neutral collision rate increases, while the ion-ion collision rate decreases. Therefore, the effect of ion self-collisions is reduced. Finally, the Monte Carlo results were compared to those that used simplified collision models in order to assess their validity. In general, the simple collision models tend to be more accurate for low E and for high ni/nn.

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On ion-dust streaming instability in a collisional magnetized plasma with warm dust

Journal of Plasma Physics ◽

10.1017/s0022377810000048 ◽

2010 ◽

Vol 77 (2) ◽

pp. 265-270 ◽

Cited By ~ 1

Author(s):

M. ROSENBERG

Keyword(s):

Magnetic Field ◽

Dusty Plasma ◽

Magnetized Plasma ◽

Ion Drift ◽

Drift Speed ◽

Streaming Instability ◽

Experimental Parameters ◽

The Magnetic Field ◽

Thermal Speed

AbstractThis brief communication discusses theoretically a resistive ion-dust streaming instability in a collisional dusty plasma, where the ions and electrons are magnetized, and the dust is unmagnetized. The instability is driven by ions streaming along the magnetic field. The emphasis is on the case where the dust has large thermal speed, and where the ion drift speed is ≲ the ion thermal speed. Application to possible laboratory experimental parameters is considered.

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