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

Abstract

[1] The possibility for the formation of the dust-ion-acoustic (DIA) double layers (DLs) in a four-component dusty nonthermal plasma (containing nonthermal electrons, inertial ions, and stationary positively as well as negatively charged dust) has been theoretically investigated by deriving a modified Gardner (MG) equation. The latter has been numerically analyzed in order to identify the basic features of the nonplanar (cylindrical and spherical) DIA DLs. The DIA DLs (that are shown to be associated only with negative potential) have been found to exist for a suitable value of a or m, where a (m) is the parameter determining the number of nonthermal electrons (net dust charge density) in the plasma system under consideration. The implications of our results in some space dusty plasma environments have been discussed.Citation: Mamun, A. A., and S. Islam (2011), Nonplanar dust-ion-acoustic double layers in a dusty nonthermal plasma,

Modified Korteweg-de Vries (mK-dV) Equation Describing Dust-ion-acoustic Solitary Waves in an Unmagnetized Dusty Plasma with Trapped Negative Ions

“…In the present work we have studied nonlinear wave with mK-dV equation. To observe the higher order nonlinearity one can derive modified Zakharov Kuznetsov (mZK) equation [71], Gardner equation [72], [73] which is combined into KdV-mKdV equations, modified Gardner equation [74], Kadomtsov Petviashivilli (KP) equation [75], Gardner KP (GKP) equation [76] and nonlinear Scrhodinger equation [77]. We have intuit the model based on the study of different astrophysical plasma systems like localized electrostatic disturbances in space (viz.…”

Dust-Acoustic Solitary Waves in a Magnetized Dusty Plasma With Ions Of Distinct Temperatures

“…To explain the effects of nonthermal plasma species on the basic characteristics of the plasma system, containing fast nonthermal plasma species, Cairns et al [23]introduced a distribution function followed by those plasma species. After this pioneering work of Cairns et al a number of authors have studied the effects of nonthermal plasma species on different electrostatic propagation modes in a dusty plasma system containing negatively charged dust [5,24,25,27]. The above cited works [5,24,25,27] are confined to negatively charged dust and nonthermal ions or electrons of single temperature only.…”

“…After this pioneering work of Cairns et al a number of authors have studied the effects of nonthermal plasma species on different electrostatic propagation modes in a dusty plasma system containing negatively charged dust [5,24,25,27]. The above cited works [5,24,25,27] are confined to negatively charged dust and nonthermal ions or electrons of single temperature only. But the existence of two-temperature ions [26,28,29,[31][32][33]41]or electrons [34,[36][37][38] which are common to occur in both space environments [36,39,40]and laboratory plasmas [35,36] are the topic of recent interest.…”

“…[1][2][3][4]. The presence of charged dust grains in a plasma modifies the existing plasma wave spectra as well as introduces a number of novel eigenmodes [viz., dust-ion acoustic waves (DIAWs) [5,6], dust-acoustic waves (DAWs) [7][8][9][10], dust lattice waves [11],etc.]. Dust grains acquire negative charge by the collection of electrons [1,12]because the thermal speed of the electron is much higher than that of the ions.…”

Comment on “Nonplanar dust-ion acoustic Gardner solitons in a dusty plasma with q-nonextensive electron velocity distribution” [Phys. Plasmas 19, 033703 (2012)]

“…In reality, this solution is the double layer (DL) solution that has been shown in some recently published articles. [3][4][5][6][7][8][9] In fact, the GSs solution is completely different from their solution and has been studied by several authors 2,[6][7][8][9][10][11] We would like to point out the fact that both Gardner SWs and DLs are the solutions of the standard Gardner (sG) equation, which has been described elaborately in Refs. 2 and 3.…”