A note on the trapped electron dust grain current

Berbri, Abderrezak; Tribeche, Mouloud

doi:10.1017/s0022377809990110

Cited by 9 publications

(4 citation statements)

References 25 publications

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“…trapped) electron distribution which is very important for many space and laboratory plasma situations [29][30][31][32][33]. It has been shown that the expression for the electron (dust charging) current is significantly modified by the trapped electron distribution [34,35]. This modified electron current, in turn, may cause a drastic change of the nonlinear features of the DNIA waves.…”

Section: S S Duha B Shikha and A A Mamunmentioning

confidence: 99%

Nonlinear dust-ion-acoustic waves in a multi-ion plasma with trapped electrons

Duha

Shikha²,

Mamun

2011

Pramana - J Phys

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A dusty multi-ion plasma system consisting of non-isothermal (trapped) electrons, Maxwellian (isothermal) light positive ions, warm heavy negative ions and extremely massive charge fluctuating stationary dust have been considered. The dust-ion-acoustic solitary and shock waves associated with negative ion dynamics, Maxwellian (isothermal) positive ions, trapped electrons and charge fluctuating stationary dust have been investigated by employing the reductive perturbation method. The basic features of such dust-ion-acoustic solitary and shock waves have been identified. The implications of our findings in space and laboratory dusty multi-ion plasmas are discussed.

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Section: S S Duha B Shikha and A A Mamunmentioning

confidence: 99%

Nonlinear dust-ion-acoustic waves in a multi-ion plasma with trapped electrons

Duha

Shikha²,

Mamun

2011

Pramana - J Phys

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“…The equation (12) becomes I i0 + I e0 + I n0 = 0. For the negatively charged dust grains, the equilibrium current contributed by trapped electrons I e0 ( ), positive and negatives ions I I , i0 n0 ( ) are based on orbital motion limited (OML) theory are [41][42][43][44]: respectively. To find the equilibrium dust charge q d0 , we have solved I i0 + I e0 + I n0 = 0 this relation via Newton-Raphson method.…”

Section: Basic Equationsmentioning

confidence: 99%

Nonlinear dust-ion acoustic solitary waves for collisional electronegative dusty plasma in the presence of trapped electron distribution

Acharya,

Basnet,

Khanal

2024

Phys. Scr.

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We have investigated the characteristics of nonlinear propagation of dust-ion acoustic solitary waves in collisional electronegative unmagnetized dusty plasma, which consists of trapped electrons, Boltzmann negative ions, mobile positive ions, mobile negative dust particulates, and a uniform background of neutral particles. In account of ion-neutral collisions, the modified Korteweg-de Vries relation has been derived by employing the standard reductive perturbation method. Analytical and numerical solutions of the damped Korteweg-de Vries equation has been presented in which finite difference method is used for numerical solution. On the other hand, the dust charging equation has been solved by using Newton's Raphson method. It is found that the temperature ratio of free to trapped electrons, ion-neutral collision, concentration of negative ions, dust number density, and dust density perturbation modify the basic properties of the dust-ion acoustic solitary waves. The temporal evolution of dust-ion acoustic solitary waves is crucial as it affects the amplitude and width of wave structure. In addition, the analytical and numerical solutions are compared, and their deviation is graphically illustrated.

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“…where Q d represents the charge of dust and I e (I i ) is the stream of electron (ion) flowing on the surface of dust particles. By assuming that the particles are spherical, I e and I e0 can be given as follows 54 :…”

Section: Governing Equationsmentioning

confidence: 99%

“…The vortex-like electron distribution of the Schamel and Vlasov equation 53 is used to simulate the distribution of electrons in the case of particles being captured. Assuming that the dust particles are charged only by a collection of elementary plasma particles and the fluctuation stream of ion is very small relative to the fluctuation stream of electron, 54 we obtain the kinetic equation of charge of dust particle. In Section 3, the method of multiscale expansion and disturbance analysis 55 are used, and a (3 + 1)-dimensional modified Burgers equation is yielded through a small disturbance.…”

Section: Introductionmentioning

confidence: 99%

(3 + 1)‐Dimensional time‐fractional modified Burgers equation for dust ion‐acoustic waves as well as its exact and numerical solutions

Tian

Ren

et al. 2019

Math Methods in App Sciences

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In this paper, the theoretical model of dust ion-acoustic waves in collisionless, unmagnetized dust plasma is analyzed. According to the (3 + 1)-dimensional nonlinear dynamic propagation equations with the electron distribution in the presence of trapping particles and the kinetic equation of charge of dust particle, based on multiscale analysis and perturbation method, a new (3 + 1)-dimensional modified Burgers equation is constructed. Because of the space property of dust plasma, (3 + 1)-dimensional modified Burgers equation is more suitable than low-dimensional equation to describe the dust ion-acoustic waves. Furthermore, applying the semi-inverse method and the fractional variational principle, time-fractional modified Burgers equation is given, which owns potential value for comprehending the propagation feature of dust ion-acoustic waves in three-dimensional space. Following, the conservation laws of the time-fractional modified Burgers equation are discussed by using the Noether method. Finally, the shock wave solutions of the new model is obtained with the help of the G ′ ∕G-expansion method; meanwhile, the radial basis function method is also used to get the numerical solutions of the (3 + 1)-dimensional time-fractional modified Burgers equation. KEYWORDS(3 + 1)-dimensional time-fractional modified Burgers equation, conservation laws, dust ion-acoustic waves, radial basis function method, shock wave solution MSC CLASSIFICATION 35Q51; 35Q55After solving the equation Ac k =B k , we get the algebraic system at each time step, and we can obtain the solution by using Equation (50).

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A note on the trapped electron dust grain current

Cited by 9 publications

References 25 publications

Nonlinear dust-ion-acoustic waves in a multi-ion plasma with trapped electrons

Nonlinear dust-ion-acoustic waves in a multi-ion plasma with trapped electrons

Nonlinear dust-ion acoustic solitary waves for collisional electronegative dusty plasma in the presence of trapped electron distribution

(3 + 1)‐Dimensional time‐fractional modified Burgers equation for dust ion‐acoustic waves as well as its exact and numerical solutions

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