Equilibrium Properties of H‐Plasma

Arkhipov, Yu. V.; Baimbetov, F. B.; Davletov, A. E.; Рамазанов, Т. С.

doi:10.1002/ctpp.2150390603

Cited by 17 publications

(18 citation statements)

References 13 publications

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“…It should be noted that the generalized Poisson-Boltzmann equation can be strictly derived from the Bogolyubov hierarchy for the equilibrium distribution functions in the pair correlation approximation [7]. Moreover, in the past decade it was successfully applied to a variety of kinds of plasmas, such as semiclassical plasmas [8], partially ionized plasmas [9] and even dusty plasmas in the Debye approximation [10].…”

Section: Interaction Model Of Two Isolated Dust Particlesmentioning

confidence: 99%

Influence of Polarization Phenomena on Radial Distribution Function of Dust Particles

Erimbetova

Davletov

Kudyshev

et al. 2013

Contrib. Plasma Phys.

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A pseudopotential model of intergrain interaction in dusty plasmas is proposed to take into account both the electrostatic polarization and the screening phenomena. The derivation is entirely based on the renormalization theory of plasma particles interaction developed previously. Dust particles are assumed to be conductive such that the polarization phenomenon can strictly be treated in the charge-image approximation. Such an assumption imposes no restraint on generality of the present consideration because the polarization effects are essential for accurate description of intergrain interaction potential. The pseudopotential model is then used in the hypernetted chain approximation (HNC) for the dust component to obtain the radial distribution function which reveals the non-monotonic behavior at sufficiently large values of the dust coupling parameter. This can be viewed upon as a short-or even long-range order formation in the dust component of the plasma.

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Section: Interaction Model Of Two Isolated Dust Particlesmentioning

confidence: 99%

Influence of Polarization Phenomena on Radial Distribution Function of Dust Particles

Erimbetova

Davletov

Kudyshev

et al. 2013

Contrib. Plasma Phys.

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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 .…”

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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“…It can be demonstrated from equations (13)-(15) that the effective potential (13) remains finite at the origin in contrast to the Coulomb potential (1) and, at the same time, is screened at large distances like the Debye potential (3). Note that effective potential (13) is just an extension of the results of [7,13] to a plasma of arbitrary degeneracy.…”

Section: Screened Potentialmentioning

confidence: 99%

Screened Effective Interaction Potential for Two‐Component Plasmas

Arkhipov

Ashikbayeva

Askaruly

et al. 2016

Contrib. Plasma Phys.

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The linear density response formalism is used to analytically obtain an effective pairwise interaction potential of charged particles that simultaneously takes into account quantum mechanical and quantum statistical effects in weakly and moderately non-ideal plasmas at thermal equilibrium. The static dielectric function is obtained by interpolating long -and short wavelength asymptotic forms of the dielectric function in the random-phase approximation. The exchange effects are neglected in the micropotential, while the quantum-statistical effects are accounted for in the screening. The effective potential constructed in such a way takes a finite value at the origin and proves to be screened at large distances. The thermodynamic properties of two-component plasmas are then calculated and comparison is made with some data available in the literature.

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Equilibrium Properties of H‐Plasma

Cited by 17 publications

References 13 publications

Influence of Polarization Phenomena on Radial Distribution Function of Dust Particles

Influence of Polarization Phenomena on Radial Distribution Function of Dust Particles

Finite size effects in the static structure factor of dusty plasmas

Screened Effective Interaction Potential for Two‐Component Plasmas

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