Electric Charge of Dust Particles in a Plasma

Davletov, A. E.; Arkhipov, Yu. V.; Ткаченко, И. М.

doi:10.1002/ctpp.201500111

Cited by 8 publications

(6 citation statements)

References 45 publications

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“…That the material of the dust grain is a perfect absorber is much harder to handle but is still possible in the framework of the chemical model of dusty plasmas proposed in Davletov et al. (2016).…”

Section: Discussionmentioning

confidence: 99%

“…It was recently demonstrated that the plasma electrodynamics in the framework of the density-response formalism provides the following interaction model of dusty plasma particles (Davletov et al. 2016): where the subscripts take on values of for electrons, for protons and for dust grains, , and , , and with the exponential integral function . In formulas (3.1) and (3.2) the distance is measured between the surfaces of the particles.…”

Section: Dust Grain Chargementioning

confidence: 99%

Section: Dust Grain Chargementioning

confidence: 99%

“…Such an idealized one-component model remains intrinsically unphysical in essence because a dust grain must have an appropriate size in order to be able to absorb the buffer plasma particles and thus to be able to acquire the electric charge. To overcome this deficiency a convenient interaction model was proposed in the framework of the density-response formalism (Davletov, Arkhipov & Tkachenko 2016) and its logical and proper application is the core motivation of the present consideration.…”

mentioning

confidence: 99%

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Dust particles of finite dimensions in complex plasmas: thermodynamics and dust-acoustic wave dispersion

et al. 2018

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Grounded on the premise that dust particles are charged hard balls, the analysis in Davletov et al. (Contrib. Plasma Phys., vol. 56, 2016, 308) provides an original pseudopotential model of intergrain interaction in complex (dusty) plasmas. This accurate model is engaged herein to consistently treat the finite-size effects from the process of dust particle charging to determination of the thermodynamic quantities and the dust-acoustic wave dispersion in the strongly coupled regime. The orbital motion limited approximation is adopted to evaluate an electric charge of dust grains immersed in a neutralizing background of the buffer plasma. To account for finite dimensions of dust particles, the radial distribution function is calculated within the reference hypernetted-chain (RHNC) approximation to demonstrate a well-pronounced short-range order formation at rather large values of the coupling parameter and the packing fraction. The evaluated excess pressure of the dust component is compared to the available theoretical approaches and the simulation data and is then used to predict the dust-acoustic wave (DAW) dispersion in the strongly coupled regime under the assumption that the dust particles charge varies in the course of propagation. In contrast to many previous investigations, it is demonstrated for the first time ever that for DAWs the charge variation of dust particles should necessarily be taken into account while evaluating the dust isothermal compressibility.

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Section: Discussionmentioning

confidence: 99%

Section: Dust Grain Chargementioning

confidence: 99%

Section: Dust Grain Chargementioning

confidence: 99%

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confidence: 99%

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Dust particles of finite dimensions in complex plasmas: thermodynamics and dust-acoustic wave dispersion

et al. 2018

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“…Unlike the Yukawa one‐component plasma model, those important results have one major drawback—there is no simple and practically overseen expression for the interaction potential between dust particles. In the meantime, stemming from the linear density‐response formalism, the following simplified model potential was recently proposed in to take into account the finite size of dust particles and the screening phenomenon:

Φ (r) = \frac{Z_{normald}^{2} e^{2}}{r + 2 R} - \frac{Z_{normald}^{2} e^{2}}{r} (1 - \exp (- {italicrk}_{normalD}) - k_{normalD} R B (r)),

where

B (r) = \exp (k_{normalD} (2 R + r)) Ei (k_{normalD} (2 R + r)) - \exp (k_{normalD} (2 R - r)) Ei (2 k_{normalD} R) + \exp (- k_{normalD} (2 R + r)) [Ei (- 2 k_{normalD} R) - Ei (- k_{normalD} (2 R + r))],

with the exponential integral function

Ei (x) = \int_{x}^{\infty} \exp (- t) / tdt

and the wavenumber

k_{normalD}

…”

Section: Static Propertiesmentioning

confidence: 99%

Dynamic properties of strongly coupled dusty plasmas with particles of finite dimensions

Yerimbetova

Davletov

Arkhipov

et al. 2019

Contributions to Plasma Physics

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The aim of the present study is to determine the impact the finite size of dust particles has on the static and dynamic characteristics of the dust component of a plasma.Taking into account both the finite dimensions of dust grains and the plasma screening, a model expression is chosen for the interdust interaction potential. The static structure factor of dust particles is evaluated by iteratively solving the reference hypernetted-chain approximation, which inherently contains the hard sphere model handled within the Percus-Yevick closure. The self-consistent method of moments is then engaged to relate the static and dynamic structure factors by assuming that the second derivative of the dynamic structure factor with respect to the frequency vanishes at the origin. Thus, an analytical expression for the dynamic structure factor is validated over quite a broad domain of dusty plasma non-ideality and grains packing fraction. The calculated spectrum of dust-acoustic waves reveals the appearance of the roton minimum, which becomes less pronounced when the packing fraction of dust particles rises. It is also predicted that the wavenumber position of the roton minimum is de facto independent of the size of dust particles. New analytical expressions for the dust-acoustic wave spectrum and decrement of damping are proposed and thoroughly checked. K E Y W O R D Sdust-acoustic waves, dusty plasmas, dynamic structure factor, method of moments

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Slowing down of charged particles in dusty plasmas with power‐law kappa‐distributions

Guo

Liu

et al. 2018

Contributions to Plasma Physics

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We study the slowing down of a particle beam passing through the dusty plasma with power-law -distributions. Three plasma components, electrons, ions, and dust particles, can have a different -parameter. By using Fokker-Planck theory, the deceleration factor and slowing down time are derived and expressed by a hyper-geometric -function. Numerically, we study the slowing down property of an electron beam in the -distributed dusty plasma. We show that the slowing down in the plasma depends strongly on the -parameters of plasma components, and dust particles play a dominant role in the deceleration effects. We also show dependence of the slowing down on mass and charge of a dust particle in the kappa-distributed plasma.

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Electric Charge of Dust Particles in a Plasma

Cited by 8 publications

References 45 publications

Dust particles of finite dimensions in complex plasmas: thermodynamics and dust-acoustic wave dispersion

Dust particles of finite dimensions in complex plasmas: thermodynamics and dust-acoustic wave dispersion

Dynamic properties of strongly coupled dusty plasmas with particles of finite dimensions

Slowing down of charged particles in dusty plasmas with power‐law kappa‐distributions

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