Dust charging processes with a Cairns-Tsallis distribution function with negative ions

Abid, A. A.; Khan, Muhammad Zubair; Yap, S. L.; Terças, Hugo; Mahmood, S.

doi:10.1063/1.4940329

Cited by 27 publications

(17 citation statements)

References 49 publications

(55 reference statements)

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“…Using the force balance condition, one can find the dust charge (Q d ) for a given size of the dust particles and the electric field. For our experimental conditions, the estimated value of Q d comes out to be 4840e for the particle size of 10.66 µm and the electric field strength of 1.2 × 10 4 V/m, which is in fair agreement with the values reported in past 3,4 . To overcome the repulsion between the like-charged par-FIG.…”

Section: Characterization Of Dust Crystalsupporting

confidence: 90%

“…The amount of charge on a dust particle depends on the size of the dust particle as well as the ambient plasma parameters. The typical amount of charge on a dust particle in a laboratory dusty plasma system lies in the range of 10 3 e to 10 5 e 3,4 where e is the electronic charge. The presence of these highly charged dust particles introduces additional degrees of freedom and a variety of time scales and length scales in the dusty plasma system.…”

Section: Introductionmentioning

confidence: 99%

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DPEx-II: A New Dusty Plasma Device Capable of Producing Large Sized DC Coulomb Crystals

Arumugam,

Bandyopadhyay,

Singh

et al. 2021

Preprint

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The creation of a spatially extended stable DC complex plasma crystal is a big experimental challenge and a topical area of research in the field of dusty plasmas. In this paper we describe a newly built and commissioned dusty plasma experimental device, DPEx-II, at the Institute for Plasma Research. The device can support the formation of large sized Coulomb crystals in a DC glow discharge plasma. The plasma in this L-shaped tabletop glass chamber is produced between a circular anode and a long tray shaped cathode. It is characterized with the help of various electrostatic probes over a range of discharge conditions. The dust particles are introduced by a dust dispenser to form a strongly coupled Coulomb crystal in the cathode sheath region. The unique asymmetric electrode configuration minimizes the heating of dust particles and facilitates the formation of crystalline structures with a maximum achievable dimension of 40 cm × 15 cm using this device. A larger crystal has numerous advantages over smaller ones, such as higher structural homogeneity, fewer defects, lower statistical errors due to finite size effects etc. A host of diagnostics tools are provided to characterize the Coulomb crystal. Results of a few initial experiments aimed at demonstrating the technical capabilities of the device and its potential for future dusty plasma research, are reported.

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Section: Characterization Of Dust Crystalsupporting

confidence: 90%

Section: Introductionmentioning

confidence: 99%

DPEx-II: A New Dusty Plasma Device Capable of Producing Large Sized DC Coulomb Crystals

Arumugam,

Bandyopadhyay,

Singh

et al. 2021

Preprint

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“…The three dimensional hybrid Cairns–Tsallis velocity distribution for electrons is given as. [ 60 ]

f_{normalCT} = C_{q, α} (1 + α \frac{V_{e}^{4}}{V_{normalT e}^{4}}) {([], 1 - (1 - q) \frac{V_{e}^{2}}{2 V_{normalT e}^{2}})}^{\frac{1}{q - 1}},

where

V_{T e} = {((), \frac{K_{normalB} T_{e}}{m_{e}})}^{1 / 2}

is the electron thermal velocity with K B is the Boltzmann constant, T e is the temperature, and m e is the mass of electron. The parameters q and α are associated with the so‐called nonextensivity and the strength of nonthermal electrons in the distribution, respectively.…”

Section: Hybrid Cairns–tsallis Distributionmentioning

confidence: 99%

“…The normalization constant C q , α depends on the two parameters q and α , and is given as. [ 60 ]

C_{q, α} = \frac{1}{{false(2 π V_{T e} false)}^{\frac{3}{2}}} [\frac{normalΓ ((), \frac{1}{1 - q}) {false(1 - q false)}^{\frac{5}{4}}}{normalΓ ((), \frac{1}{1 - q} - \frac{5}{2}) ({}, 3 α + ((), \frac{1}{1 - q} - \frac{3}{2}) ((), \frac{1}{1 - q} - \frac{5}{2})) {false(1 - q false)}^{2}}] for - 1 < q \leq 1

C_{q, α} = \frac{1}{{false(2 π V_{T e} false)}^{\frac{3}{2}}} [\frac{normalΓ ((), \frac{1}{1 - q} - \frac{5}{2}) {false(q - 1 false)}^{\frac{5}{2}} ((), \frac{1}{1 - q} - \frac{3}{2}) ((), \frac{1}{1 - q} - \frac{5}{2})}{normalΓ ((), \frac{1}{q + 1} + 1) ({}, 3 α + ((), \frac{1}{q - 1} + \frac{3}{2}) ((), \frac{1}{q - 1} + \frac{5}{2})) {false(q - 1 false)}^{2}}] for q \geq 1

Here, Γ denotes the Gamma function. It can be noted that the distribution function given by Equation (1) is a product of the well‐known Cairns and Tsallis distribution functions.…”

Section: Hybrid Cairns–tsallis Distributionmentioning

confidence: 99%

Polarization force in an opposite polarity dusty plasma with hybrid Cairns–Tsallis distributed electrons

Farooq

Ahmad

Jan

2021

Contributions to Plasma Physics

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The effect of polarization force acting on oppositely charged dust grains in magnetized plasma is analysed for obliquely propagating low frequency electrostatic waves with Maxwellian ions, and non‐Maxwellian electrons following the hybrid Cairns–Tsallis velocity distribution. It is shown that the polarization force acting on positively charged dust grain is different from the one acting on negatively charged dust grain in the presence of hybrid Cairns–Tsallis distributed electrons. A nonlinear equation in the form of Zakharov–Kuznetsov equation is derived via perturbation analysis for the description of electrostatic solitary structures in the limit of weak‐amplitude. A parametric investigation determines the modifications arising in the propagation of dust acoustic soliton due to the presence of polarization force and hybrid Cairns–Tsallis distributed electrons. It is also found that the effect of polarization force is more pronounced for heavier dust grain with high charge number. Finally, there is a lower limit found for the q‐nonextensive parameter, below which modifications in soliton profile cease to exist due to the presence of hybrid Cairns–Tsallis distributed electrons.

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“…The role of negative ions in the characteristics of plasma is mainly reflected in the control of electrode potential in etching and deposition plasma [19,20]. Abid et al studied the surface potential energy in the dusty plasma with negative ions, highlighting the role of negative ions [25][26][27][28], where the plasma follows the kappa-distribution, a non-Maxwell velocity distribution.…”

mentioning

confidence: 99%

Dust surface potential for the dusty plasma with negative ions and with a three-parameter non-Maxwell velocity distribution

Yao,

2021

Preprint

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We study the dust surface potential for the complex dusty plasma with negative ions and with a three-parameter non-Maxwell velocity distribution. The plasma contains electrons, positive ions, negative ions, and negatively charged dust particles. By using the current equilibrium condition, we derive the relationship between the normalized dust surface potential and the dusty plasma parameters such as the normalized dust number density, the temperature ratio of negative ions to electrons, the density ratio of negative ions to positive ions, and the charge number of negative ions. The numerical analyses show that the relationship depends evidently on the three parameters in the non-Maxwell distribution when the dust surface potential is relatively smaller, but with increase of the potential, such dependence will weaken soon. The dust surface potential is negative and increases monotonously with increase of the dust density, and for the complex dusty plasma with the three-parameter non-Maxwell distribution, it is generally greater than that in the same plasma with the kappa-distribution and the Maxwellian distribution.Introduction. -Dust particles are some of solid grain matter common in the universe, while gaseous matter in astrophysical and space systems is often in the fully ionized or partially ionized plasma state. In this way, the plasma as well as the dust particles immersed in it constitutes a complex dusty plasma system. It is complex system because, in addition to the conventional electron-ion plasma, additional components such as neutral gas molecules, negative ions, and dust particles of large mass (relative to ions) or nebula clusters are added to the plasma system. Dusty plasmas exist in different parts of the cosmic environments such as interstellar medium, planetary rings, phobos-dust rings, comet tails and interstellar molecular clouds. At the same time, they also exist in the fusion reactors and the plasma processing industrial installations [1][2][3][4]. Plasma containing dust particles can be regarded as dusts in plasma or dusty plasma, which depends on some characteristic lengths such as the dusty particle radius r d and the average distance a between particles (related to dust number density n d , n d a 3 ~1). If Debye radius is λ D and when there is r d << a <λ D , that is, charged dust particles participate in the collective behavior, corresponding to the dusty plasma. When there is r d << λ D < a, that is, charged dust particles are

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Dust charging processes with a Cairns-Tsallis distribution function with negative ions

Cited by 27 publications

References 49 publications

DPEx-II: A New Dusty Plasma Device Capable of Producing Large Sized DC Coulomb Crystals

DPEx-II: A New Dusty Plasma Device Capable of Producing Large Sized DC Coulomb Crystals

Polarization force in an opposite polarity dusty plasma with hybrid Cairns–Tsallis distributed electrons

Dust surface potential for the dusty plasma with negative ions and with a three-parameter non-Maxwell velocity distribution

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