Electrostatic solitary waves in dusty pair-ion plasmas

Misra, A. P.; Adhikary, Nirab C.

doi:10.1063/1.4825353

Cited by 18 publications

(24 citation statements)

References 23 publications

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“…In DIA and DIC waves, since the thermal motion of ions can not keep up with the wave, both positive and negative ions are adiabatically compressed, and we assume the adiabatic compression of the ion fluids 4,8 . Furthermore, since the negative ion number density is larger than that of the positive ions [Eq.…”

Section: Basic Equationsmentioning

confidence: 99%

“…We consider a hydrodynamic model in which the negative ion fluids are heavier than the positive ions, and negative ion number density is much larger than that of electrons so that dusts become positively charged 4,8,10 .…”

Section: Basic Equationsmentioning

confidence: 99%

“…In Eq. (3), we consider the adiabatic pressure law as 4,8 P j /P j0 = (n j /n j0 ) γ with P j0 = n j0 k B T j for each ionspecies (j = p, n), and the adiabatic index γ = 5/3 [= (2+D)/D, D being the number of degrees of freedom]. It is to be mentioned that in the propagation of very low-frequency waves (in comparison with the negativeion cyclotron frequency), the phase speed v p of the DIA waves is to be much higher than the thermal speed v tn of negative ions as well as much lower than the positive-ion thermal speed v tp , i.e., v tn v p v tp , in order to avoid the wave damping due to the resonance with positive or negative ions.…”

Section: Basic Equationsmentioning

confidence: 99%

“…The theory of dust-acoustic solitons in unmagnetized pair-ion-electron plasmas has been investigated through the description of Kortewegde Vries (KdV) equation 5 . More recently, the linear and nonlinear properties of both small-and large-amplitude DIA solitary waves in an unmagnetized pair-ion plasma with immobile charged dusts have been studied 8 . It has been shown that pair-ion plasmas with positively charged dusts support DIA solitons only of the rarefactive type.…”

Section: Introductionmentioning

confidence: 99%

“…Later, a criterion for the description of pure pair-ion plasmas has been investigated by Saleem 3 . Recently, there has been a growing interest in investigating the properties of electrostatic waves in pair-ion plasmas in linear and nonlinear regimes (See, e.g., [4][5][6][7][8][9][10][11]. To mention few, Misra et al 4 had investigated the propagation of dust ion-acoustic (DIA) solitary waves and shocks (SWS) in an unmagnetized dusty negative-ion plasma.…”

Section: Introductionmentioning

confidence: 99%

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Oblique propagation of dust ion-acoustic solitary waves in a magnetized dusty pair-ion plasma

Misra

Barman

2014

Physics of Plasmas

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We investigate the propagation characteristics of electrostatic waves in a magnetized pair-ion plasma with immobile charged dusts. It is shown that obliquely propagating (OP) low-frequency (in comparison with the negative-ion cyclotron frequency) long-wavelength "slow" and "fast" modes can propagate, respectively, as dust ion-acoustic (DIA) and dust ion-cyclotron (DIC)-like waves. The properties of these modes are studied with the effects of obliqueness of propagation (θ), the static magnetic field, the ratios of the negative to positive ion masses (m) and temperatures (T ) as well as the dust to negative-ion number density ratio (δ). Using the standard reductive perturbation technique, we derive a Korteweg-de Vries (KdV) equation which governs the evolution of small-amplitude OP DIA waves. It is found that the KdV equation admits only rarefactive solitons in plasmas with m well below its critical value m c ( 1) which typically depends on T and δ. It is shown that the nonlinear coefficient of the KdV equation vanishes at m = m c , i.e., for plasmas with much heavier negative ions, and the evolution of the DIA waves is then described by a modified KdV (mKdV) equation. The latter is shown to have only compressive soliton solution. The properties of both the KdV and mKdV solitons are studied with the system parameters as above, and possible applications of our results to laboratory and space plasmas are briefly discussed.

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Section: Basic Equationsmentioning

confidence: 99%

Section: Basic Equationsmentioning

confidence: 99%

Section: Basic Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Oblique propagation of dust ion-acoustic solitary waves in a magnetized dusty pair-ion plasma

Misra

Barman

2014

Physics of Plasmas

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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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Complex Burgers’ Equation: Evolution of Shock Waves with a Pair of Non-isothermal Ions in an Arbitrarily Charged Dusty Plasma

Dev

Deka

2017

Braz J Phys

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Electrostatic solitary waves in dusty pair-ion plasmas

Cited by 18 publications

References 23 publications

Oblique propagation of dust ion-acoustic solitary waves in a magnetized dusty pair-ion plasma

Oblique propagation of dust ion-acoustic solitary waves in a magnetized dusty pair-ion plasma

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

Complex Burgers’ Equation: Evolution of Shock Waves with a Pair of Non-isothermal Ions in an Arbitrarily Charged Dusty Plasma

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