Eur. Phys. J. Plus (2014) 129: 99
https://doi.org/10.1140/epjp/i2014-14099-9

Regular Article

Effects of superthermal electrons and negatively (positively) charged dust grains on dust-ion acoustic wave modulation

¹ Department of Physics, Faculty of Basic Science, Babol University of Technology, 47148-71167, Babol, Iran
² Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), P.O.Box: 55134-441, Maragha, Iran
³ Department of Physics, Faculty of Basic Science, Arak University, 38156-88349, Arak, Iran

^* e-mail: alinejad@nit.ac.ir

Received: 17 February 2014
Revised: 12 April 2014
Accepted: 16 April 2014
Published online: 29 May 2014

Abstract

The modulational instability of dust-ion acoustic (DIA) waves is studied in an unmagnetized dusty plasma comprising arbitrarily charged dust particles, adiabatic fluid ions, and electrons satisfying a kappa (κ) distribution. By using the multiple space and time scales perturbation, a nonlinear Schrödinger (NLS) equation is derived, and then the existence along with the stability of wave packets are discussed in the parameter space of two oppositely charged dust and ion temperature over a range of values of electron superthermality. It is found that the transition from stable dark solitons to unstable bright ones shifts to the smaller wavelength regions in a way that depends on the increase of superthermality index κ. In this case, a narrower range (in spatial extension) of the envelope solitons is observed. It is also found that the instability growth rate reduces, due to the electron superthemality. Furthermore, positive dust concentration enhances the instability region, whereas more populations of negative dust grains may control or suppress one.