Effect of adiabatic variation of dust charges on dust-acoustic solitary waves

Xie, Bai-Song; He, Kai; Huang, Z. Rena

doi:10.1016/s0375-9601(98)00616-1

Cited by 132 publications

(56 citation statements)

References 17 publications

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“…Therefore, the current balance equation becomes, at equilibrium (adiabatic dust charge variations), I e + I il + I ih ≈ 0 (Xie et al 1998;Ghosh et al 2001). With the aid of equations (1k)-(1m), one can write (1j) at equilibrium as…”

Section: Basic Equations and Interaction Between Two Daswsmentioning

confidence: 99%

Head-on collision of dust-acoustic solitary waves in an adiabatic hot dusty plasma with external oblique magnetic field and two-temperature ions

El‐Labany

El-Shamy

Sabry

et al. 2009

Astrophys Space Sci

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In the present paper, the characteristics of the head-on collision between two dust-acoustic solitary waves (DASWs) in an adiabatic dusty plasma consisting of variable negatively charged dust grains, isothermal electrons and two-temperature isothermal ions in the presence of an external oblique magnetic field are investigated. Using the extended Poincaré-Lighthill-Kuo (PLK) method, the Korteweg-de Vries (KdV) equations and the analytical phase shifts after the head-on collision of two solitary waves are derived. The effects of the magnetic field and its obliqueness, two different type of isothermal ions and the dust particles adiabaticity are discussed. It is found that these factors significantly affect the phase shifts.

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Section: Basic Equations and Interaction Between Two Daswsmentioning

confidence: 99%

Head-on collision of dust-acoustic solitary waves in an adiabatic hot dusty plasma with external oblique magnetic field and two-temperature ions

El‐Labany

El-Shamy

Sabry

et al. 2009

Astrophys Space Sci

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“…Therefore, the current balance equation becomes, at equilibrium (adiabatic dust charge variations), I el + I eh + I i ≈ 0 (Xie et al 1998;Ghosh et al 2001). With the aid of (1j)-(1l), one can write (1i) at equilibrium as…”

Section: Basic Equations and Formulation Of The Problemmentioning

confidence: 99%

Effects of two-temperature electrons, external oblique magnetic field, and higher-order nonlinearity on dust acoustic solitary waves in a dusty plasma with vortex-like ion distribution

El‐Labany

El-Shamy

El-Warraki

2008

Astrophys Space Sci

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Nonlinear properties of the dust acoustic (DA) solitary waves in a dusty plasma consisting of negatively variable-charged dust particles, vortex-like distributed ions and two-temperature isothermal electrons are reported. A reductive perturbation theory has been used to derive a modified Korteweg-de Vries (mKdV) equation for the first-order perturbed potential and a linear inhomogeneous mKdVtype equation for the second-order perturbed potential. The renormalization method is used to obtain stationary solutions of these coupled equations. The modifications in the amplitude and width of the solitary wave structure due to the inclusion of two different types of isothermal electrons, external oblique magnetic field, higher-order nonlinearity, and vortex-like distributed ions are investigated. Also a method based on energy consideration was used to obtain the stability condition. Moreover, the numerical results are applied to investigate some nonlinear characteristics of the DA solitary waves.Keywords Effects of two-temperature electrons · Vortex-like ion distribution · External oblique magnetic field · Higher-order nonlinearity · Dust acoustic solitary waves · Dusty plasmas

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“…Nonlinear evolution of dust acoustic and dust ion acoustic waves in presence of adiabatic and non adiabatic dust charge variation were studied earlier by several authors considering grain charging by the flow of plasma current [14]- [23]. Effect of both weak (negative equilibrium dust charge) and strong (positive equilibrium dust charge) secondary electron emission in this nonlinear evolution process were later investigated with Boltzmann distributed electrons and ions [12] [13].…”

Section: Introductionmentioning

confidence: 99%

Ion Nonthermality Induced Nonlinear Dust Acoustic Wave Propagation in a Complex Plasma in Presence of Weak Secondary Electron Emission from Dust Grains

Bhakta¹,

Sarkar²

2018

JMP

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In this paper we have investigated the effect of ion nonthermality on nonlinear dust acoustic wave propagation in a complex plasma in presence of weak secondary electron emission from dust grains. Equilibrium dust charge in this case is negative. Dusty plasma under our consideration consists of inertialess nonthermal ions, Boltzman distributed primary and secondary electrons and negatively charged inertial dust grains. Both adiabatic and nonadiabatic dust charge variations have been taken into account. Our analysis shows that in case of adiabatic dust charge variation, at a fixed non-zero ion nonthermality increasing secondary electron emission decreases amplitude and increases width of the rarefied dust acoustic soliton whereas for a fixed secondary electron yield increasing ion nonthermality increases amplitude and decreases width of such rarefied dust acoustic soliton. Thus shape of the soliton may be retained if strength of both the secondary electron yield and the ion nonthermality are increased. Nonadiabatic dust charge variation shows that, at fixed non-zero ion nonthermality, increasing secondary electron emission suppresses oscillation of oscillatory dust acoustic shock at weak nonadiabaticity and pronounces monotonicity of monotonic dust acoustic shock at strong nonadiabaticity. On the other hand at a fixed value of the secondary electron yield, increasing ion nonthermality enhances oscillation of oscillatory dust acoustic shock at weak nonadiabaticity and reduces monotonicity of monotonic dust acoustic shock at strong nonadiabaticity. Thus nature of dust acoustic shock may also remain unchanged if both secondary electron yield and ion nonthermality are increased.

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Effect of adiabatic variation of dust charges on dust-acoustic solitary waves

Cited by 132 publications

References 17 publications

Head-on collision of dust-acoustic solitary waves in an adiabatic hot dusty plasma with external oblique magnetic field and two-temperature ions

Head-on collision of dust-acoustic solitary waves in an adiabatic hot dusty plasma with external oblique magnetic field and two-temperature ions

Effects of two-temperature electrons, external oblique magnetic field, and higher-order nonlinearity on dust acoustic solitary waves in a dusty plasma with vortex-like ion distribution

Ion Nonthermality Induced Nonlinear Dust Acoustic Wave Propagation in a Complex Plasma in Presence of Weak Secondary Electron Emission from Dust Grains

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