Finite size effects in the static structure factor of dusty plasmas

Davletov, A. E.; Yerimbetova, L. T.; Mukhametkarimov, Ye. S.; Ospanova, A. K.

doi:10.1063/1.4887009

Cited by 6 publications

(3 citation statements)

References 47 publications

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“…The radial distribution function has been calculated within the RHNC scheme to take into account the finite dimension of dust particles and it has been proved that the HNC method (Davletov et al. 2014; Tolias, Ratynskaia & De Angelis 2014; Yazdi et al. 2014) works very well for small values of the packing fraction.…”

Section: Discussionmentioning

confidence: 99%

“…The cornerstone of the present consideration has been the self-consistent evaluation of the thermodynamic quantities of the dust component starting from the determination of the grain charge. The radial distribution function has been calculated within the RHNC scheme to take into account the finite dimension of dust particles and it has been proved that the HNC method (Davletov et al 2014;Tolias, Ratynskaia & De Angelis 2014;Yazdi et al 2014) works very well for small values of the packing fraction. Such a consistent determination of the thermodynamic characteristics has allowed us to study the dispersion of the dust-acoustic waves that accounts for variation of the dust grain charge in the dust isothermal compressibility.…”

Section: Discussionmentioning

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: Discussionmentioning

confidence: 99%

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

et al. 2018

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“…Analogous inference can absolutely be made in case of the decrease in www.cpp-journal.org the grain size parameter D.Note that quite a similar behavior of the correlation function was observed in the Percus-Yewick and superposition approximations with further experimental verification for the gas-discharge plasmas [38], cf. [39,40].…”

Section: Correlation Functions Of Dusty Plasmasmentioning

confidence: 99%

Polarization and Finite Size Effects in Correlation Functions of Dusty Plasmas

Davletov

Yerimbetova

Mukhametkarimov

et al. 2015

Contrib. Plasma Phys.

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An approach is presented to derive a pseudopotential model of interaction between dust particles that simultaneously takes into account the polarization, finite size and screening effects. The consideration starts from the assumption that the dust particles are hard balls made of a conductive material such that their mutual interaction and interaction with the electrons and ions of the buffer plasma can analytically be interpreted within the method of image charges. Then, the renormalization theory of plasma particles interaction, leading to the so-called generalized Poisson-Boltzmann equation, is applied to obtain the interaction potential of two isolated dust grains immersed into the buffer plasma of electrons and ions. After that the Ornstein-Zernike relation in the hyper-netted chain approximation (HNC) is numerically solved to study the radial distribution function and the static structure factor of the dust grains. In doing so the system of hard balls is actually replaced by a system of point-like charges with properly adjusted number density in the form of van der Waals correction. A straightforward comparison is made with the Monte-Carlo simulation to find a fairly good agreement for the radial distribution function at relatively high dust couplings.

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Electric Charge of Dust Particles in a Plasma

Davletov

Arkhipov

Ткаченко

2016

Contrib. Plasma Phys.

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The problem of calculation of the electric charge of dust particles in a plasma is considered from different points of view. At first the charging of polarizable dust particles is studied within the orbital motion limited approach. Secondly, the plasma electrodynamics is applied to show that the electric charge of a dust particle is determined by the normal component of the dielectric displacement vector near the grain surface rather than the normal component of the electric field strength. And, finally, the chemical model, initially proposed for determination of partially ionized plasma composition, is demonstrated to be very productive in evaluating the electric charge of the dust component. (© 2016 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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Finite size effects in the static structure factor of dusty plasmas

Cited by 6 publications

References 47 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

Polarization and Finite Size Effects in Correlation Functions of Dusty Plasmas

Electric Charge of Dust Particles in a Plasma

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