Influence of Polarization Phenomena on Radial Distribution Function of Dust Particles

Erimbetova, L.T.; Davletov, A. E.; Kudyshev, Zhaxylyk A.; Mukhametkarimov, Ye. S.

doi:10.1002/ctpp.201200070

Cited by 14 publications

(8 citation statements)

References 11 publications

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“…It should directly be stressed that the generalized Poisson-Boltzmann equation can rigorously be derived from the Bogolyubov chain of equations for the equilibrium distribution functions in the pair correlation approximation 31 and in the recent past it was successfully applied to a variety of plasmas, such as the semiclassical plasma, 32,33 the partially ionized hydrogen plasma, 34,35 and even the dusty plasma in the Debye approximation. 36,37 Equation (12) is actually a relation to determine the effective interaction potential, or the pseudopotential, U ab , through the true microscopic potentials u ab . It can be clearly seen that the pseudopotentials definitely take into account the screening in the buffer plasmas since they inevitably incorporate the number densities of electrons and protons.…”

Section: Plasma Parametersmentioning

confidence: 99%

Finite size effects in the static structure factor of dusty plasmas

et al. 2014

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Based on the previously developed pseudopotential model of the dust particles interaction, which takes into account both the finite size and screening effects, the equilibrium distribution functions are investigated in a broad range of plasma parameters. The treatment stems entirely from the renormalization theory of plasma particles interactions which leads to the so-called generalized Poisson-Boltzmann equation. In particular, an analytical expression for the static structure factor of the dust particles is proposed and its non-monotonic behavior in the hyper-netted chain approximation is found in a specified domain of plasma parameters to indicate the formation of short- or even long-range order in the system.

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Section: Plasma Parametersmentioning

confidence: 99%

Finite size effects in the static structure factor of dusty plasmas

et al. 2014

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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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“…From a fundamental point of view, of great interest is the situation in which the electrostatic energy of dust particles interaction noticeably exceeds their thermal energy. In this case, the dust component is called strongly coupled, because the short‐range and long‐range order formation develops in the arrangement of dust particles with respect to one another . Such a behaviour of dust particles is conventionally interpreted as a liquid or even crystalline state, which provides a whole range of means for testing theoretical concepts specifically developed for many‐body systems with strong interparticle interactions .…”

Section: Introductionmentioning

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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Influence of Polarization Phenomena on Radial Distribution Function of Dust Particles

Cited by 14 publications

References 11 publications

Finite size effects in the static structure factor of dusty plasmas

Finite size effects in the static structure factor of dusty plasmas

Polarization and Finite Size Effects in Correlation Functions of Dusty Plasmas

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

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