Nonlinear dust acoustic waves with polarization force effects in Kappa distribution plasma

Abstract

The propagation characteristics of dust acoustic solitary waves (DASWs) in dusty plasmas with the effects of polarization force and superthermal ions are studied. First, the polarization force induced by superthermal ions is obtained. It is shown that the superthermality of background ions affect the Debye screening of dust grains as well as the polarization force significantly. Then for small amplitude solitary waves, the KdV equation is obtained by applying the reductive perturbation technique. And for the arbitrary amplitude solitary waves, the Sagdeev potential method is employed and the Sagdeev potential is analyzed. In both case, the effects of the polarization force associated the ions’ superthermality on the characteristic of the DASWs are analyzed.

Polarization force in an opposite polarity dusty plasma with hybrid Cairns–Tsallis distributed electrons

“…[ 47 ] The polarization force is particularly pronounced for large size dust grains, which can lead to a decrease in phase velocity for DAW. For typical complex plasmas [ 55 ] with grain radius a ∼ 1 μm, grain charge q d ∼ 10 3 e , λ D ∼ 10 −4 m , and T i = 0.03 eV, the magnitude of polarization force parameter R is estimated up to 0.12. Moreover, there exists a critical size beyond which DAW cannot propagate.…”

“…[ 63 ] It has been shown that for electrons following the hybrid Cairns–Tsallis distribution, the electron Debye length is modified and depends on the nonextensive q and nonthermal α parameters. [ 36,64 ] Moreover, in a dusty plasma with polarization force and nonthermal distribution of particles, all the work done previously is based on the nonthermal distribution of ions, [ 54–57 ] where modified form of ion Debye screening length has been considered. The expression for polarization force has been derived in Khaled et al [ 59 ] for four component unmagnetized dusty plasma with opposite polarity dust grains and thermal distribution of ions and electrons.…”

“…It has been shown that the linear dispersion and nonlinear peculiarities of the DAW have been modified by polarization force. [ 47 ] Later, many investigators have analysed different electrostatic solitary waves in three component dusty plasma with thermal [ 48–53 ] and nonthermal distribution of ions, [ 54–58 ] while electrons are considered Maxwellian. Recently, Khaled et al [ 59 ] have developed an expression for polarization force in a dusty plasma with oppositely charged dust grains and carried out the nonlinear analysis of DAW in the presence of polarization force.…”

Effects of trapped electrons on the sheath at the boundary of a dusty plasma

“…[5][6][7][8] In addition to electrons and ions, enormous, highly charged micro-sized dust grains are contained in dusty plasmas, which are widely found in space and the laboratory. [9][10][11] Electrons and ions hit and attach onto the surface of the dust grain, making it charged. In response to the change in local electrostatic potential, as well as the plasma density, the charge of dust will be variable.…”

Effect of polarization and charge gradient forces on the dust acoustic solitary waves

“…Due to the collective effect, there are different types of wave propagation in dusty plasma both in the laboratory environment as well as in astrophysics and space environment, such as dust acoustic waves (DAWs), [1][2][3] dust ion acoustic waves, 4) dust lattice waves, [5][6][7][8] dust acoustic solitary waves (DASWs), [9][10][11][12][13][14][15][16][17][18] dust shock waves, 19,20) Mach cones 21,22) etc. As an important low frequency wave in dusty plasma, DAWs were first theoretically predicted by Rao et al 1) in 1990, and confirmed experimentally by Barkan et al 2) in 1995.…”