Multi-dimensional Instability of Dust Acoustic Waves in Magnetized Quantum Plasmas with Positive or Negative Dust
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GENERAL AND APPLIED PHYSICS
Multi-dimensional Instability of Dust Acoustic Waves in Magnetized Quantum Plasmas with Positive or Negative Dust Dong-Ning Gao1 Received: 17 August 2020 / Accepted: 20 October 2020 © Sociedade Brasileira de F´ısica 2020
Abstract A survey of dust acoustic waves (DAWs) in magnetized dusty plasmas composed of negatively or positively charged mobile dust and intertialess quantum electrons as well as ions is presented. The Zakharov-Kuznetsov (ZK) equation is derived via reductive perturbation technique. The solitary wave solution of ZK equation is given and the numerical analysis of the solution with parameters in dust crystals is performed to study the properties of the DAWs with positive or negative dust. The multi-dimensional instability of these solitary waves is investigated via small-k perturbation method. The instability criterion and growth rate relying on obliqueness, the density ratio between ions and dust, the dust cyclotron frequency, the Fermi temperature ratio between electrons and ions, and quantum diffraction parameter are discussed for both cases. The implications of these results to the interior of white dwarf stars and magnetars have been briefly discussed. Keywords Dusty plasmas · Waves · Instability
1 Introduction Quantum plasma has quite low temperatures and high plasma number densities. At quite low temperature, the electron temperature is comparable with its Fermi temperature, the electrons obey Fermi Dirac distribution law, and the thermal de Broglie wavelength is comparable with the interelectron distance [1]. In this condition, quantum mechanical effects play an important role in the behavior of charged particles [2]. Recently, quantum plasmas have attracted a lot of interest because of their wide range of applications in dense plasma, particularly, in different astrophysical and cosmological systems [3, 4] (e.g., interstellar or molecular clouds, planetary rings, comets, interior of white dwarf stars), in nanostructures [5], in microelectronic devices [6], and in the next-generation intense laser [7].
Dong-Ning Gao
[email protected] 1
College of Electronic and Information Engineering, Lanzhou City University, Lanzhou, China
Linear and nonlinear features of dust ion acoustic waves (DIAWs) were illustrated by applying the two-fluid quantum hydrodynamic model (QHM) [8]. Arbitrary amplitude DIAWs were studied in dense Fermi plasmas [9]. DIAWs considering polarity effect [10] and dust acoustic waves (DAWs) with oblique propagation [11] in magnetized quantum dusty plasma were analyzed by Khan. The nonlinear feature of electrostatic solitary excitations was investigated in a quantum dusty pair plasma by QHM [12]. By making use of arbitrary amplitude approach, the behavior of quantum DIAWs considering classical cold ions, inertialess quantum positrons and electrons, and stationary negative dust grains was discussed [13]. The characteristic of linear and nonlinear DIAWs with ions, inertialess positrons and electrons, and mobile negative dust grains was inve
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