Dust-induced instability with dust charge fluctuations in a rotating dusty plasma
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THE EUROPEAN PHYSICAL JOURNAL D
Regular Article
Dust-induced instability with dust charge fluctuations in a rotating dusty plasma Xiao-Song Yang1 , Bing Wang1,2 , Hui Chen1,a , Xiao-Chang Chen1,2 , and San-Qiu Liu1 1 2
Department of Physics, Nanchang University, Nanchang 330031, P.R. China Experimental Center of Basic Physics, School of Science, Nanchang University, Nanchang 330031, P.R. China Received 20 April 2020 / Received in final form 9 May 2020 Published online 23 June 2020 c EDP Sciences / Societ`
a Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature, 2020 Abstract. The dust-induced instability involving charge fluctuations is studied in rotating dusty plasma. Due to dust charging dynamics, the dust-induced instability mode which was first put forward by Mikhailovskii et al. [A.B. Mikhailovskii, S.V. Vladimirov, J.G. Lominadze, V.S. Tsypin, A.P. Churikov, N.N. Erokhin, R.M.O. Galvao, Phys. Plasmas 15, 014504 (2008)] will be replaced by dust-chargingrotational instability (DCRI) mode. Comparing to the dust-induced instability, the new instability mode also exists in an increasing rotation frequency profile, but always with a greater growth rate. The analysis indicates that the rotational instability mode induced by dust charge is always unstable. The present results may be used to investigate the rotating dusty plasma experiments and observations.
1 Introduction The magnetorotational instability (MRI), which is exponentially growing modes, is one of the most important transporting mechanisms of angular momentum and inducing turbulence of plasma in astrophysics and applied physics [1,2]. The applications of magnetorotational instability in astrophysics were summarized in reference [3]. Untill now, more than a thousand papers have focused on such subjects [4,5]. Many experimental and theoretical studies of magnetorotational instability in liquid metals [6–8] were reported. Hollerbach and R¨ udiger [7] showed a new type of magnetorotational instability with axial and azimuthal magnetic fields in cylindrical Taylor–Couette flow. Sisan et al. [9] presented an experimental observation of magnetorotational instability. Ji et al. [10] reported an experiments involved a novel Taylor–Couette apparatus in laboratory, and revealed that hydrodynamic turbulence cannot transport angular momentum effectively in astrophysical disks, which indirectly illustrated that the magnetorotational instability is most likely candidate for turbulence transportation, even in cool disks. Dusty plasma, which contains electrons, ions, and massive component of charge grains, has various properties in terms of the waves and instabilities, and widely exists in space environments and laboratory situations [11,12]. Shukla et al. [13–15] analyzed the dust-acoustic and dustion-acoustic wave. Hartmann et al. [16–18] studied the magnetoplasmons and self-diffusion in the rotating dusty plasma apparatus (RotoDust). Ren et al. investigated the magnetorotational instability in dusty plasma with mobile a
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