Time-dependent cylindrical and spherical dust-acoustic solitary and shock waves in a strongly coupled dusty plasma in the presence of polarization force

Abstract

Time-dependent cylindrical and spherical dust-acoustic (DA) solitary and shock waves propagating in a strongly coupled dusty plasma in the presence of polarization force (which arises due to the interaction between thermal ions and highly negatively charged dust grains) are investigated. It is shown that cylindrical and spherical DA solitary and shock waves exist with negative potential, and that the strong correlation among the charged dust grains is a source of dissipation, and is responsible for the formation of cylindrical or spherical DA shock structures. It is also shown that the effects of polarization force significantly modify the basic features (e.g. amplitude, width, and speed) of cylindrical or spherical DA solitary or shock structures. The implications of our results in laboratory experiments are briefly discussed.

Instability of nonplanar modulated dust acoustic wave packets in a strongly coupled nonthermal dusty plasma

“…18,19,22,23,28 One of the main motives of the present study is to examine the polarization force effects on the time-dependent nonlinear and nonplanar DA wave structures. The polarization force (F p ) acting on a dust grain is defined as 22,25,29 …”

“…20 The coupling between particles can be depicted from the screened Coulomb coupling parameter: (SCDP) both theoretically and experimentally. [21][22][23][24][25][26] The linear analyses 21 have revealed that strong correlations introduce modifications to the DA wave modes such as new dispersion corrections and additional damping effects. On the other side, the nonlinear analyses produce new salient features for the DA solitary waves.…”

“…On the other side, the nonlinear analyses produce new salient features for the DA solitary waves. [22][23][24][25][26] For example, the DA solitary and shock waves are found to exist with negative potential only in a SCDP including nonthermal ions and Boltzmann distributed electrons. 22 The effect of the polarization force on the propagation of linear and nonlinear DA waves has been considered by Mamun and his coworkers 23 in different SCDP models.…”

“…Recently, including the nonplanar geometrical effect along with the polarization force in studying DA solitary waves in SCDP models explores significant new features. 25,26 Up to the best of our knowledge, the effects of nonplanar (cylindrical and spherical) geometries as well as the polarization force effect on the amplitude modulation DA envelope solitary waves with nonthermal distributed ions have not been investigated yet. Therefore, this is the main aim of this manuscript by assuming a three-components SCDP consisting of negatively charged dust grains, nonthermal ions and Maxwellian electrons.…”

Modified KdV equation for trapped ions in polarized dusty plasma

“…, where λ D = λ Di / 1 + (λ Di /λ De ) 2 is the linearized Debye length, with λ Di(e) = 0 k B T  /n  e 2 being the ion (electron) Debye length, T =i,e the temperatures in energy unit, and n =i,e the number densities [5,6,7,8,9]. As shown by Khrapak et al [5] for Boltzmannian electrons and ions, the polarization force can be written as…”