Effect of electron inertia on large amplitude solitary waves in presence of kinematic viscosity in dusty plasma

Sen, Bholanath; Das, Brindaban; Chatterjee, Prasanta

doi:10.1140/epjd/e2008-00158-3

Cited by 13 publications

(9 citation statements)

References 33 publications

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“…It is seen that an increase in the soliton speed, through the Mach number M=M s , increases the amplitude in absolute value, but restricts the width. In fact, using (13), it is clear from the far greater well-depth found from S A ðnÞ for M=M s ¼ 1:2, that the associated soliton profile has a far steeper slope than is the case for M=M s ¼ 1:1. At the same Mach number, the Boltzmann profiles present a lower amplitude, but this effect is related in part to the different definition of the acoustic speed M s , as may be seen from a comparison of (16) and (17).…”

Section: B Pseudopotentials Solitons and Double Layersmentioning

confidence: 91%

“…An early example 11 used a KdV approach in comparing ion relativistic effects and electron finite-mass effects, and reported that the latter were considerably larger. Some other more recent papers involving small amplitude expansions, include, for instance, inertial isothermal light species in studying dustacoustic solitons, 12 and effects of viscosity 13 or isothermal electrons and warm dust 14 on dust-ion-acoustic solitons. However, none of these have carried out systematic arbitrary amplitude investigations of the effects of considering the light species as being inertial and isothermal rather than inertialess.…”

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confidence: 99%

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Effects of hot electron inertia on electron-acoustic solitons and double layers

Verheest

Hellberg

2015

Physics of Plasmas

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The propagation of arbitrary amplitude electron-acoustic solitons and double layers is investigated in a plasma containing cold positive ions, cool adiabatic and hot isothermal electrons, with the retention of full inertial effects for all species. For analytical tractability, the resulting Sagdeev pseudopotential is expressed in terms of the hot electron density, rather than the electrostatic potential. The existence domains for Mach numbers and hot electron densities clearly show that both rarefactive and compressive solitons can exist. Soliton limitations come from the cool electron sonic point, followed by the hot electron sonic point, until a range of rarefactive double layers occurs. Increasing the relative cool electron density further yields a switch to compressive double layers, which ends when the model assumptions break down. These qualitative results are but little influenced by variations in compositional parameters. A comparison with a Boltzmann distribution for the hot electrons shows that only the cool electron sonic point limit remains, giving higher maximum Mach numbers but similar densities, and a restricted range in relative hot electron density before the model assumptions are exceeded. The Boltzmann distribution can reproduce neither the double layer solutions nor the switch in rarefactive/compressive character or negative/positive polarity. V C 2015 AIP Publishing LLC. [http://dx

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Section: B Pseudopotentials Solitons and Double Layersmentioning

confidence: 91%

mentioning

confidence: 99%

Effects of hot electron inertia on electron-acoustic solitons and double layers

Verheest

Hellberg

2015

Physics of Plasmas

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“…Theoretical studies on the effect of viscosity on the ion-acoustic solitary wave are carried out in general by using the reductive perturbation method or the Sagdeev's approach. [26][27][28] In the presence of kinematic viscosity electron inertia increases the amplitude of large amplitude solitary waves in a dusty plasma. 28 Shukla has shown that inclusion of the ion viscosity change the structure of the ion-acoustic solitary wave.…”

Section: Introductionmentioning

confidence: 99%

Sagdeev potential approach for large amplitude compressional Alfvenic double layers in viscous plasmas

2013

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Sagdeev's technique is used to study the large amplitude compressional Alfvenic double layers in a magnetohydrodynamic plasma taking into account the small plasma b and small values of kinematic viscosity. Dispersive effect raised by non-ideal electron inertia currents perpendicular to the ambient magnetic field. The range of allowed values of the soliton speed, M (Mach number), plasma b (ratio of the plasma thermal pressure to the pressure in the confining magnetic field), and viscosity coefficient, wherein double layer may exist, are determined. In the absence of collisions, viscous dissipation modifies the Sagdeev potential and results in large amplitude compressional Alfvenic double layers. The depth of Sagdeev potential increases with the increasing Mach number and plasma b, however, decreases with the increasing viscosity. The double layer structure increases with the increasing plasma b, but decreases with increasing viscous dissipationl. V C 2013 AIP Publishing LLC. [http://dx.

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“…This extra component, which increases the complexity of the system even further, is responsible for modifying the collective behavior of a plasma and generating new modes like dust ion acoustic (DIA) waves (Shukla and Silin 1992), dust-acoustic (DA) waves (Rao et al 1990) etc. Many researchers have also observed dust acoustic solitary waves (DASWs) (Chatterjee and Jana 2005; Das and Chatterjee 2009;Maitra and Roychoudhury 2003;Pakzad 2009Pakzad , 2010aPakzad , 2010bSahu and Tribeche 2011;Sen et al 2008) and dust ion acoustic solitary waves (DIASWs) Gupta et al 2001;Shalaby et al 2010;Rahman and Mamun 2011;Sayeed and Mamun 2007) in one dimensional and unmagnetized plasma by considering three component dusty plasma composed of electrons, ions and negatively charged dust grains. Most of these works have considered an unmagnetized dusty plasma system containing dust grains of constant negative charge.…”

Section: Introductionmentioning

confidence: 99%

Head-on collision of dust acoustic solitary waves with variable dust charge and two temperature ions in an unmagnetized plasma

Kundu

Chatterjee

Ghosh

2012

Astrophys Space Sci

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The head-on collision of dust acoustic solitary waves (DASWs) in an unmagnetized dusty plasma with single electrons, two-temperature ions, variable dust charge is investigated using the extended Poincaré-Lighthill-Kuo (PLK) method. The effects of the dust charge fluctuation and two temperature ion are studied. It is found that the dust charge fluctuation and two temperature ion have the significant role on the phase shift.

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Effect of electron inertia on large amplitude solitary waves in presence of kinematic viscosity in dusty plasma

Cited by 13 publications

References 33 publications

Effects of hot electron inertia on electron-acoustic solitons and double layers

Effects of hot electron inertia on electron-acoustic solitons and double layers

Sagdeev potential approach for large amplitude compressional Alfvenic double layers in viscous plasmas

Head-on collision of dust acoustic solitary waves with variable dust charge and two temperature ions in an unmagnetized plasma

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