Intrinsic fluctuations of dust grain charge in multi-component plasmas

Shotorban, Babak

doi:10.1063/1.4868860

Cited by 14 publications

(25 citation statements)

References 30 publications

(45 reference statements)

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“…These fluctuations always exist even in a steady-state uniform plasma 2 . Dust charge fluctuations have been investigated by many researchers [3][4][5][6][7][8][9] . In a dusty plasma, there are many phenomena that dust charge fluctuations can be considered as a reason for them such as heating of dust particles system [10][11][12] , instability of lattice oscillations in a low-pressure gas discharge 13,14 , and the formation of the shock waves in dusty plasmas 15 .…”

Section: Introductionmentioning

confidence: 99%

Memory effects in the velocity relaxation process of the dust particle in dusty plasma

Ghannad

Pajouh

2017

Physics of Plasmas

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In this paper, by comparing the time scales associated with the velocity relaxation and correlation time of the random force due to dust charge fluctuations, memory effects in the velocity relaxation of an isolated dust particle exposed to the random force due to dust charge fluctuations are considered, and the velocity relaxation process of the dust particle is considered as a non-Markovian stochastic process. Considering memory effects in the velocity relaxation process of the dust particle yields a retarded friction force, which is introduced by a memory kernel in the fractional Langevin equation. The fluctuation-dissipation theorem for the dust grain is derived from this equation. The mean-square displacement and the velocity autocorrelation function of the dust particle are obtained, and their asymptotic behavior, the dust particle temperature due to charge fluctuations, and the diffusion coefficient are studied in the long-time limit. As an interesting feature, it is found that by considering memory effects in the velocity relaxation process of the dust particle, fluctuating force on the dust particle can cause an anomalous diffusion in a dusty plasma. In this case, the mean-square displacement of the dust grain increases slower than linearly with time, and the velocity autocorrelation function decays as a power-law instead of the exponential decay. Finally, in the Markov limit, these results are in good agreement with those obtained from previous works for Markov (memoryless) process of the velocity relaxation.

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Section: Introductionmentioning

confidence: 99%

Memory effects in the velocity relaxation process of the dust particle in dusty plasma

Ghannad

Pajouh

2017

Physics of Plasmas

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“…Figure 3 displays time histories of grain charges. The discrete stochastic method [13], adapted from Gillespie's algorithm [30,31]), is utilized to simulate the grain charge variation governed by the master equation (1). Time histories seen in figs.…”

Section: Resultsmentioning

confidence: 99%

“…The rate of the grain charge variance is correlated with the currents and their derivatives evaluated at the charge mean. Shotorban [13] lately extended this model to include multi-component plasmas where there are various kinds of singly-or multiply-charged negative or positive ions and showed that the grain charge distribution still follows Gaussianity when Ω is sufficiently large.…”

Section: Introductionmentioning

confidence: 99%

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Bistable intrinsic charge fluctuations of a dust grain subject to secondary electron emission in a plasma

Shotorban¹

2015

Phys. Rev. E

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A master equation was formulated to study intrinsic charge fluctuations of a grain in a plasma as ions and primary electrons are attached to the grain through collisional collection, and secondary electrons are emitted from the grain. Two different plasmas with Maxwellian and non-Maxwellian distributions were considered. The fluctuations could be bistable in either plasma when the secondary electron emission is present, as two stable macrostates, associated with two stable roots of the charge net current, may exist. Metastablity of fluctuations, manifested by the passage of the grain charge between two macrostates, was shown to be possible. *

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“…The dust particle charge [23,25,26] is determined by electron and ion fluxes on the surface of dust grain, which depends on electric field. So the dust particle charge depends on z:…”

Section: Equations Of Dust Particles Motionmentioning

confidence: 99%

Energy transfer between degrees of freedom of a dusty plasma system

Semyonov

Тимофеев

2016

J. Phys.: Conf. Ser.

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Abstract. Dust particles under certain conditions can acquire kinetic energy of the order of 10 eV and higher, far above the temperature of gas and temperatures of ions and electrons in the discharge. Such heating can be explained by the energy transfer between degrees of freedom of a dusty plasma system. One of the mechanisms of such energy transfer is based on parametric resonance. A model of dust particles system in gas discharge plasma including fluctuations of dust particles charge and features of near-electrode layer is presented. Molecular dynamics simulation of the dust particles system is performed. Conditions of the resonance occurrence are obtained for a wide range of parameters.

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Intrinsic fluctuations of dust grain charge in multi-component plasmas

Cited by 14 publications

References 30 publications

Memory effects in the velocity relaxation process of the dust particle in dusty plasma

Memory effects in the velocity relaxation process of the dust particle in dusty plasma

Bistable intrinsic charge fluctuations of a dust grain subject to secondary electron emission in a plasma

Energy transfer between degrees of freedom of a dusty plasma system

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