Formation of obliquely propagating dust-ion-acoustic shock waves due to dust charge fluctuation in magnetized nonthermal dusty plasma

Shahmansouri, M.; Mamun, A. A.

doi:10.1007/s10509-013-1758-x

Cited by 4 publications

(3 citation statements)

References 41 publications

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“…Shahmansouri and Mamun (2013) have investigated the obliquely propagating ion-acoustic shock waves due to the effect of ion kinematic viscosity in a magnetized electron-ion plasma, obtained a monotonic shock profile solution for the KdV-Burger equation via the tanh approach, and finally analyzed the stability condition. Shahmansouri and Mamun (2014) also derived the KdV-Burgers equation, and studied the dust ion-acoustic shock waves found to be significantly modified by the effects of obliqueness, external magnetic field strength, non-thermal electron, and dust charge fluctuation.…”

Section: Introductionmentioning

confidence: 99%

Dust-acoustic shock waves in a magnetized non-thermal dusty plasma

Shahmansouri¹,

Mamun

2014

J. Plasma Phys.

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A theoretical investigation is carried out to study the basic properties of dust-acoustic (DA) shock waves propagating in a magnetized non-thermal dusty plasma (containing cold viscous dust fluid, non-thermal ions, and non-thermal electrons). The reductive perturbation method is used to derive the Korteweg-de Vries-Burgers equation. It is found that the basic properties of DA shock waves are significantly modified by the combined effects of dust fluid viscosity, external magnetic field, and obliqueness (angle between external magnetic field and DA wave propagation direction). It is shown that the dust fluid viscosity acts as a source of dissipation, and is responsible for the formation of DA shock structures in the dusty plasma system under consideration. The implications of our results in some space and laboratory plasma situations are briefly discussed.

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Section: Introductionmentioning

confidence: 99%

Dust-acoustic shock waves in a magnetized non-thermal dusty plasma

Shahmansouri¹,

Mamun

2014

J. Plasma Phys.

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“…Recently, a large number of authors have studied the effect of an external magnetic field on the DA solitary waves, and observed that an external magnetic field can change and modify the profile of obliquely propagating electrostatic solitons . However, in the above‐mentioned cases, the combined effects of nonextensivity, external magnetic field, and ions at two temperatures on DA solitary waves were mostly not discussed simultaneously.…”

Section: Introductionmentioning

confidence: 99%

Effects of axial magnetic field and nonextensivity on small amplitude dust acoustic solitary waves in dusty plasma

Rezaiinia

Mohsenpour

Mirzanejhad

2018

Contributions to Plasma Physics

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KEYWORDSdusty plasma, nonextensivity, nonlinear propagation, solitary waves INTRODUCTIONA great deal of attention has been paid to understand the linear and nonlinear propagation of electrostatic waves that occur in both space and laboratory dusty plasmas. [1][2][3] Dusty plasmas are ordinary plasmas with an additional, extremely massive, and highly charged component of dust grains. Dusts in plasma, often of micron to submicron size, and masses in the range of 10 6 to 10 12 proton masses, are ubiquitous in the solar system and space plasma, namely, the earth's ionosphere and magnetosphere, lower and upper mesosphere, planetary magnetosphere, the interplanetary medium, planetary rings, asteroid zones, cometary tails, interstellar molecular clouds, circumstellar disks, etc., and in laboratory devices, e.g., dc and RF discharges, plasma processing reactors, and fusion plasma devices. [4][5][6][7] Hence, a study of plasma systems in the presence of dust is of considerable importance. It has been found both theoretically [8] and experimentally [9] that the dynamics of dust grains not only changes the properties of the plasma, but also introduces new or modified wave modes and related instabilities in the dusty plasma systems. [10,11] These wave modes excited in dusty plasmas can be dust-acoustic (DA) waves and dust-ion-acoustic (DIA) waves. [8,12] DA waves predicted theoretically by Rao et al. are among the low-frequency electrostatic dust waves that occur in dusty plasmas. In this case, the dust particle mass provides the inertia and thermal pressures from the electrons, and ions provide the restoring force. These waves have further been observed in laboratory experiments by a number of experimental groups. [13,14] Over the past many years, a number of authors have studied the basic properties of DA waves in dusty plasmas. [15][16][17][18][19] There are different types of coherent linear and nonlinear wave structures in a dusty plasma system, such as solitons, double layers, shocks, vortices etc. [20,21] The nonlinearities come from the harmonic generation involving fluid advection, trapping of particles This article is published with the permission of the Controller of HMSO and the Queen's Printer for Scotland.

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“…Dust acoustic shock waves have been investigated in a dusty plasma having a high-energy-tail electron distribution (Shahmansouri and Tribeche 2013). Dust-ion-acoustic shock waves due to dust charge fluctuation in magnetized nonthermal dusty plasma have been studied (Shahmansouri and Mamun 2014).…”

Section: Introductionmentioning

confidence: 99%

Kinetic effects of the dust charge fluctuations on the instability of dust ion-acoustic waves

Rouhani

Jamshidi

Pajouh

2015

Astrophys Space Sci

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In this paper, a kinetic description is used to derive the perturbed dust grain currents carried by the plasma particles, taking into account dust charge fluctuations. The longitudinal dielectric permittivity and the dispersion relation of dust ion-acoustic waves in an unmagnetized dusty plasma are obtained. It is shown that the dust charge fluctuations effectively modify the damping rate of these waves, which can lead to an excitation of instability in plasma. This instability is due to the thermal velocity of the plasma particles and dust charge fluctuations. It is different from the instability due to the drift speed of the plasma particles. It is found that there is a critical wave number above which these waves are unstable. In addition, the growth rate of these waves is numerically investigated for different plasma parameters. The present theory is applicable in astronomers and space scientists working on dusty plasmas, especially planetary ring systems and cometary tails, where dust charge fluctuations are important.

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Formation of obliquely propagating dust-ion-acoustic shock waves due to dust charge fluctuation in magnetized nonthermal dusty plasma

Cited by 4 publications

References 41 publications

Dust-acoustic shock waves in a magnetized non-thermal dusty plasma

Dust-acoustic shock waves in a magnetized non-thermal dusty plasma

Effects of axial magnetic field and nonextensivity on small amplitude dust acoustic solitary waves in dusty plasma

Kinetic effects of the dust charge fluctuations on the instability of dust ion-acoustic waves

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