The effects of nonadiabatic dust charge variation and ultraviolet irradiation on the modulational instability of dust ion acoustic waves

Wang, Yunliang; Guo, Chunxia; Jiang, Xin; Zhou, Zhongxiang; Ni, Xiaodong; Qian, Ping; Shen, Jiang

doi:10.1063/1.3504223

Cited by 7 publications

(5 citation statements)

References 43 publications

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“…Since the work of Rao et al [1], in which the existence of nonlinear DA waves in unmagnetized dusty plasmas (where the charged dusts provide the inertia and the restoring forces come from the pressures of inertialess electrons and ions) was first predicted, there has been a number of works focusing on the linear or nonlinear properties of low-frequency DA waves in magnetized or unmagnetized plasmas (See, e.g., Refs. [2][3][4][5][6][7][8][9][10]). The nonlinear propagation of such waves can give rise to the formation of solitons with negative or positive wave amplitudes, which has potential applications in astrophysical and space environments (such as cometary tails, planetary rings, interstellar clouds and lower parts of Earth's ionosphere etc.)…”

Section: Introductionmentioning

confidence: 99%

Dust-acoustic solitary waves in a magnetized dusty plasma with nonthermal electrons and trapped ions

Misra

Wang

2015

Communications in Nonlinear Science and Numerical Simulation

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The nonlinear propagation of electrostatic dust-acoustic (DA) waves in a magnetized dusty plasma consisting of negatively charged mobile dusts, nonthermal fast electrons and trapped ions with vortex-like distribution is studied. Using the reductive perturbation technique, a Korteweg-de Vries (KdV)-like equation is derived which governs the dynamics of the small-amplitude solitary waves in a magnetized dusty nonthermal plasma. It is found that due to the dust thermal pressure, there exists a critical value (β c ) of the nothermal parameter β (> 1), denoting the percentage of energetic electrons, below which the DA solitary waves cease to propagate. The soliton solution (travelling wave) of the KdV-like equation is obtained, and is shown to be only of the rarefactive type. The properties of the solitons are analyzed numerically with the system parameters. It is also seen that the effect of the static magnetic field (which only modifies the soliton width) becomes significant when the dust gyrofrequency is smaller than one-tenth of the dust plasma frequency. Furthermore, the amplitude of the soliton is found to increase (decrease) when the ratio of the free to trapped ion temperatures (σ) is positive (negative). The effects of the system parameters including the obliqueness of propagation (l z ) and σ on the dynamics of the DA solitons are also discussed numerically, and it is found that the soliton structures can withstand perturbations and turbulence during a considerable time. The results should be useful for understanding the nonlinear propagation of DA solitary waves in laboratory and space plasmas (e.g., Earth's magnetosphere, auroral region, heliospheric environments etc.).

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Section: Introductionmentioning

confidence: 99%

Dust-acoustic solitary waves in a magnetized dusty plasma with nonthermal electrons and trapped ions

Misra

Wang

2015

Communications in Nonlinear Science and Numerical Simulation

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“…where the new variable coefficient of nonlinear term is Ē = E/ exp(Hτ ). The modified KP-Burger equation (24) has oscillatory or monotonic shock wave solution. To analyze the steady shock solution analytically, we use the co-moving coordinate χ = ξ + η − V τ with V being the velocity of shock waves and integrate once with respect to variable χ.…”

Section: Shock-like Waves In the Hydrodynamicmentioning

confidence: 99%

Nonlinear Dust Acoustic Waves in Strongly Coupled Dusty Plasmas with Positively Charged Dust Particles

Wang

Guo

2016

Commun. Theor. Phys.

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The nonlinear propagation of dust acoustic waves is investigated in four-component plasmas consisting of positively charged dust grains, trapped ions, nonthermal electrons, and photoelectron due to ultraviolet irradiation. We use generalized viscoelastic hydrodynamic model for strongly coupled dust grain. In the weak nonlinearity limit, a modified Kadomstev–Petviashvili (KP) equation and a modified KP-Burger equation, which have a damping term coming from nonadiabatic charge variation, have been derived in the kinetic regime and hydrodynamic regime, respectively. With the increasing of UV photon flux, the hydrodynamic regime changes to kinetic regime. The approximate analytical line soliton and shock solutions are investigated in the kinetic regime and hydrodynamic regime, respectively.

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“…Shukla & Silin (1992) were the first to report theoretically the existence of DIA waves, and later their existence was confirmed experimentally by Barkan, D'Angelo & Merlino (1996). After that, the linear and nonlinear properties of DIA waves were extensively studied by many authors during the past few years (Kourakis & Shukla 2003;Alinejad & Tribeche 2010;Wang et al 2010;Mushtaq et al 2012).…”

Section: Introductionmentioning

confidence: 96%

“…After that, the linear and nonlinear properties of DIA waves were extensively studied by many authors during the past few years (Kourakis & Shukla 2003; Alinejad & Tribeche 2010; Wang et al. 2010; Mushtaq et al. 2012).…”

Section: Introductionmentioning

confidence: 99%

Weakly dissipative dust-ion acoustic wave modulation

2016

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The modulational instability of dust-ion acoustic (DIA) waves in an unmagnetized dusty plasma is investigated in the presence of weak dissipations arising due to the low rates (compared to the ion oscillation frequency) of ionization recombination and ion loss. Based on the multiple space and time scales perturbation, a new modified nonlinear Schrödinger equation governing the evolution of modulated DIA waves is derived with a linear damping term. It is shown that the combined action of all dissipative mechanisms due to collisions between particles reveals the permitted maximum time for the occurrence of the modulational instability. The influence on the modulational instability regions of relevant physical parameters such as ion temperature, dust concentration, ionization, recombination and ion loss is numerically examined. It is also found that the recombination frequency controls the instability growth rate, whereas recombination and ion loss make the instability regions wider.

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The effects of nonadiabatic dust charge variation and ultraviolet irradiation on the modulational instability of dust ion acoustic waves

Cited by 7 publications

References 43 publications

Dust-acoustic solitary waves in a magnetized dusty plasma with nonthermal electrons and trapped ions

Dust-acoustic solitary waves in a magnetized dusty plasma with nonthermal electrons and trapped ions

Nonlinear Dust Acoustic Waves in Strongly Coupled Dusty Plasmas with Positively Charged Dust Particles

Weakly dissipative dust-ion acoustic wave modulation

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