The effect of negative ion population on dust acoustic wave propagation in a self gravitating Lorentzian dusty plasma
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THE EUROPEAN PHYSICAL JOURNAL D
Regular Article
The effect of negative ion population on dust acoustic wave propagation in a self gravitating Lorentzian dusty plasma Samit Paula , Raicharan Denra, and Susmita Sarkar Department of Applied Mathematics, University of Calcutta, 92, Acharya Prafulla Chandra Road, Kolkata 700009, India Received 20 November 2019 / Received in final form 21 March 2020 Published online 23 June 2020 c EDP Sciences / Societ`
a Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature, 2020 Abstract. A theoretical investigation into the effect of negative ion population on dust acoustic wave propagation is presented in a self-gravitating dusty plasma consisting of electrons, negative ions, positive ions, and charged dust grains. The kappa distributed suprathermal electrons and Maxwellian ions are assumed. The inertial dust grain is assumed to have a variable charge which is negative or positive in the equilibrium condition depending on the population density of negative ion. A general fluid dispersion relation is derived by using continuity, momentum, and Poissons equations for electrostatic potential as well as gravitational potential. The analysis shows that the higher negative ion and suprathermal electron population favored the reduction of the decay rate when the equilibrium dust charge is negative. On the other hand, when the negative ion population increases, the equilibrium dust charge becomes positive. In this case, the negative ion and suprathermal electron population enhance the decay rate.
1 Introduction A plasma is an ionized gas consisting of positively and negatively charged particles with nearly equal charge densities. Plasma shows the collective behavior of all the charged particles. Macroscopically plasma is neutral or quasi-neutral by the interaction of positive and negative particles. Physicists observed the dusty plasma with negative ions in the laboratory and space plasmas [1–3]. Merlino and Kim introduced the formation of negative ion due to the electron attachment [4,5]. Different studies showed that the negative ion influences the dust grain charging [6,7]. When the negative ion population is low, electron flux makes the dust grains negative. On the other hand, electrons reduce when the negative ion population is high. As a consequence, positive ion flux makes the dust grains positive [8]. So plasma, consisting of negative ion, may have negative or positive dust grains depending on the population of the negative ion. First self-gravitating instability was explained by Jeans for large gas clouds [9]. In the field of dusty plasma physics, this instability induced great interest among the physicists. Pandey et al. investigated the Jeans instability considering the fixed dust grain charge [10]. Verheest et al. studied the dust acoustic wave in self-gravitating dusty plasma taking into account the dust-charge perturbations [11]. Shukla and Verheest showed that dust-neutral and ion-neutral drags can produce instabilities of electrostatic waves in self-gr
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