Ion-dust streaming instability in a radially bounded dusty plasma

Abstract

The effect of radial boundaries on the ion-dust streaming instability is investigated. Possible applications of our work to certain low-temperature dusty plasma experiments are discussed.The effect of radial boundaries on dust-acoustic (DA) [1] and dust-ion-acoustic [2] waves in a collisional dusty plasma has been investigated previously [3] (see also [4,5]). In a cylindrical geometry, the radial boundaries lead to a frequency cut-off in the DA wave dispersion, i.e. the wave can have finite frequency as the axial wavenumber k → 0 (see also [6]). Recently, this behavior was reported in a dusty plasma wave experiment [7]. Since the DA wave can be driven by ions streaming relative to the dust grains [8,9], it is of interest to investigate the conditions under which radial boundaries may affect the ion-dust streaming instability. Thus, we extend our previous analysis of the DA wave in a radially bounded collisional dusty plasma [3] accounting for the streaming of charged particles in an electric field. We note that recently, an analysis of an ion streaming instability in a radially bounded collisionless quantum dusty plasma has been reported [10]. Our dusty plasma model is weakly ionized and contains electrons, singly charged ions, and negatively charged dust grains of the charge state Z d (i.e. the dust charge q d = −Z d e). In the equilibrium, the quasineutrality condition readswhere n j0 is the equilibrium density of the plasma species j, where j = e, i, d stands for the electrons, ions, and dust, respectively. The plasma has a cylindrical geometry with coordinates r, θ, and z. There is an electric field E 0 = E 0ẑ , whereẑ is the unit vector along the longitudinal axis of the cylinder, viz. the z -direction. Each charged species acquires a drift due to this electric field, given byHere q j , m j , and ν j are the charge, mass, and collision frequency, respectively, of the particle species j. It is assumed that the collision rates are due primarily to collisions of charged particles with neutrals.

Whimsicality of multi-mode Hasegawa space-charge waves in a complex plasma containing collision-dominated electrons and streaming ions

“…The effects of bounded system on Landau damping of dustacoustic space-charge waves, the effects of diffusion on the dissipation of waves in a turbulent plasma column, the effects of wake potential on the propagation of dust ion-acoustic waves, etc were also previously reported [13][14][15]. The dispersion relations for plasma waves in a cylindrically bounded dusty plasma containing collisional and streaming components have also drawn much attraction because they can explain the boundary effects for the streaming charged particles in an electric field and the dissipative streaming instability [3,16].…”