Effect of dust charge fluctuations on dust acoustic structures in magnetized dusty plasma containing nonextensive electr

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USTY PLASMA

Effect of Dust Charge Fluctuations on Dust Acoustic Structures in Magnetized Dusty Plasma Containing Nonextensive Electrons and Two-Temperature Isothermal Ions1 F. Araghia and D. Dorranianb a Physics

b

Department, Science Faculty, Islamic Azad University, North Tehran Branch, Tehran, Iran Laser Laboratory, Plasma Physics Research Center, Science and Research Branch, Islamic Azad University, Tehran, Iran e-mail: [email protected] Received April 17, 2015; in final form, July 5, 2015

Abstract—Effect of dust electrical charge fluctuations on the nature of dust acoustic solitary waves (DASWs) in a four-species magnetized dusty plasma containing nonextensive electrons and two-temperature isothermal ions has been investigated. In this model, the negative dust electric charge is considered to be proportional to the plasma space potential. The nonlinear Zakharov–Kuznetsov (ZK) and modified Zakharov– Kuznetsov (mZK) equations are derived for DASWs by using the standard reductive perturbation method. The combined effects of electron nonextensivity and dust charge fluctuations on the DASW profile are analyzed. The different ranges of the nonextensive q -parameter are considered. The results show that solitary waves the amplitude and width of which depend sensitively on the nonextensive q -parameter can exist. Due to the electron nonextensivity and dust charge fluctuation rate, our dusty plasma model can admit both positive and negative potential solitons. The results show that the amplitude of the soliton increases with increasing electron nonextensivity, but its width decreases. Increasing the electrical charge fluctuations leads to a decrease in both the amplitude and width of DASWs. DOI: 10.1134/S1063780X1602001X

1. INTRODUCTION Dusty plasmas are ionized gases containing extra charge component of micron or submicron size particles of condensed matter [1]. In many laboratory and space plasmas situations, most of the background electrons or ions could stick onto the dust grain surface during the charging processes. In cold plasma the electric potential of dust particles is usually negative because the electrons are more mobile than the ions, but in warm plasma they can be charged either negatively or positively [1–3]. Langmuir studied the dusty plasma in 1920s. In 1980s there were many papers devoted to dusty plasmas in the modern sense of this word both for natural and laboratory systems [4, 5]. On the other hand, dusty plasma systems have been employed for studying numerous fundamental processes occurring in plasmas as well as in condensed matter, such as waves and instabilities, liquid structure and dynamics, phase transitions, etc. [3, 6, 7]. There are several phenomena and governing parameters in a dusty plasma system, which have been at the focus of studies. Ion and dust acoustic waves, and their solitary forms (ion acoustic solitary waves (IASWs) and dust acoustic solitary waves (DASWs) are some of these 1 The article is published in the original.

phenomena and there are several reports on the effects