Weakly nonlinear dust ion-acoustic waves in a charge varying dusty plasma with non-thermal electrons

Abstract

The weakly nonlinear dynamics of dust ion-acoustic waves (DIAWs) are investigated in a dusty plasma consisting of hot ion fluid, variable charge stationary dust grains and non-thermally distributed electrons. The Korteweg-de Vries equation, as well as the Korteweg-de Vries-Burgers equation, are derived on the basis of the well-known reductive perturbation theory. It is shown that, due to electron non-thermality and finite ion temperature, the present dusty plasma model can support compressive as well as rarefactive DIA solitary waves. Furthermore, there may exist collisionless DIA shock-like waves which have either monotonic or oscillatory behavior, the properties of which depend sensitively on the number of fast non-thermal electrons. The results complement and provide new insights into previously published results on this problem (Mamun, A. A. and Shukla, P. K. 2002 IEEE Trans. Plasma Sci. 30, 720).

Solitary waves in a dusty plasma with negatively (positively) charged dust grains and non-thermal electrons

“…It is clear that an increase of the electron non-thermality in the present dusty plasma with negative (positive) dust concentration leads to an decrease of the potential depth. In the case of negatively charged dust concentration, the result have been reported in the recent papers dealing with the effects of electron non-thermality on the generation of small but finite amplitude solitary waves (Tribeche and Berbri 2008;Berbri and Tribeche 2009;Alinejad 2010b). Figure 3 also shows contrast between two types of negative (positive) dusty plasmas in which electrons follow the Boltzmann (β = 0) and non-thermal (β = 0) distributions.…”

Small amplitude two dimensional electrostatic excitations in a magnetized dusty plasma with q $q$ -distributed electrons

“…where is the expansion parameter measuring the amplitude of the wave or the weakness of the wave dispersion (Tribeche and Berbri 2008) and λ is the wave phase velocity, to be determined later. Substituting the power series expansion of n i , v ix , v iy , v iz and Φ such as…”

Nonplanar dust-ion-acoustic double layers in a dusty nonthermal plasma

“…The effects of the nonthermal electron distribution on the nonlinear propagation of dust‐ion‐acoustic (DIA) waves of Shukla and Silin [1992] (which are, in fact, IA waves in a plasma with charged dust) have also been investigated by several authors [ Tribeche and Berbri , 2008; Xue , 2004; Alinejad , 2010]. Tribeche and Berbri [2008] have studied the effects of nonthermal electron distribution on one‐dimensional (1D) planar DIA solitary and shock waves; Xue [2004] has considered nonplanar cylindrical and spherical geometries [ Mamun and Shukla , 2002] and examined the interaction between the compressive and rarefactive DIA SWs in dusty plasma with nonthermal electrons; Alinejad [2010] has included the effect of the nonthermal electron distribution in dust‐charging current, and studied the DIA solitary and shock waves. All of these works are limited to negatively charged dust [ Tribeche and Berbri , 2008; Xue , 2004; Alinejad , 2010] and to solitary [ Tribeche and Berbri , 2008; Xue , 2004] or shock [ Alinejad , 2010] structures.…”

“… Tribeche and Berbri [2008] have studied the effects of nonthermal electron distribution on one‐dimensional (1D) planar DIA solitary and shock waves; Xue [2004] has considered nonplanar cylindrical and spherical geometries [ Mamun and Shukla , 2002] and examined the interaction between the compressive and rarefactive DIA SWs in dusty plasma with nonthermal electrons; Alinejad [2010] has included the effect of the nonthermal electron distribution in dust‐charging current, and studied the DIA solitary and shock waves. All of these works are limited to negatively charged dust [ Tribeche and Berbri , 2008; Xue , 2004; Alinejad , 2010] and to solitary [ Tribeche and Berbri , 2008; Xue , 2004] or shock [ Alinejad , 2010] structures. The consideration of negatively charged dust is valid when dust charging process by collection of plasma particles (viz.…”