The solution of the Ornstein - Zernike relation in the HNC approximation for a dusty plasma with finite size particles
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Keywords:
Dusty plasma, screening effects, polarization, interaction model, radial distribution functionAbstract
We study the equilibrium properties of a dusty plasma with finite-size particles by solving the Ornstein-Zernike relation in the hyper-netted chain approximation. The behavior of the radial distribution function is investigated in a wide range of plasma parameters and it is demonstrated that the formation of short- or even long-range order in the system turns possible. Polarization effects are taken into account in the interactionof finite size dust particles which provides an additional mechanismof attraction between the dust grains. For sake of simplicity, the particles are considered to be solid metal balls whose interaction is strongly influenced bythe phenomenon of electrostatic induction and treated by the image method.References
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plasmas// Contrib. Plasma Phys. – 2013. – Vol. 53. – P. 276-284.
2012. – Vol.52. – P. 203-206.
2 Hyde T.W., Kong J., Matthews L.S. Helical structures in vertically aligned dust particle chains in a complex plasma// Phys.
Rev. E –2013. – Vol. 87. – P. 053106.
3 Polyakov D.N., Shumova V.V., Vasiljak L.M., Fortov V.E. Study of glow discharge positive column with cloud of disperse
particles// Phys. Lett. A – 2011. – Vol. 375. – P. 3300-3305.
4 Adhikary N.C., Bailung H., Pal A.R., Chutia J. Observation of sheath modification in laboratory dusty plasmas// Phys.
Plasmas – 2007. – Vol. 14. – P. 103705.
5 Zhukhovitskii D.I., Fortov V.E., Molotkov V.I., Lipaev A.M., Naumkin V.N., Thomas H.M., Ivlev A.V., Schwabe M.,
Morfill G.E. Nonviscous motion of a slow particle in a dust crystal under microgravity conditions// Phys. Rev. E – 2012. – Vol. 86. –
P. 016401.
6 Ali S. Dust charging effects on test charge potential in a multi-ion dusty plasma// Phys. Plasmas. –2009. – Vol. 16. –
P. 113706.
7 Tribeche M., Shukla P.K. Charging of a dust particle in a plasma with a nonextensive ion distribution function// Phys. Lett. A
–2012. – Vol. 376. – P. 1207-1210.
8 Vishnyakov V.I. Charging of dust in thermal collisional plasmas// Phys. Rev. E – 2012. – Vol. 85. – P. 026402.
9 Hutchinson I.H. Intergrain forces in low-Mach-number plasma wakes// Phys. Rev. E –2012. – Vol. 85. – P. 066409.
10 Donko Z., Hartmann P., Shukla P.K. Consequences of an attractive force on collective modes and dust structures in a
strongly coupled dusty plasma// Phys. Lett. A – 2012. – Vol. 376. – P. 3199-3203.
11 Liu Y., Liu S.Q., Xu K. Debye shielding in a dusty plasma with nonextensively distributed electrons and ions// Phys.
Plasmas. – 2012. – Vol. 19. – P. 073702.
12 Shahzad A., He M.-G. Thermal conductivity of three dimensional Yukawa liquids// Contrib. Plasma Phys. – 2012. – Vol. 52.
– P. 667-675.
13 Khrustalyov Yu.V., Vaulina O.S. Numerical simulations of thermal conductivity in dissipative two-dimensional Yukawa
systems// Phys. Rev. E – 2012. – Vol. 85. – P. 046405.
14 Goree J., Donko Z., Hartmann P. Cutoff wavenumber for shear waves and Maxwell relaxation time in Yukawa liquids// Phys.
Rev. E– 2012. – Vol. 85. – Article number 066401.
15 Ghosh S. Shock wave in a two-dimensional dusty plasma crystal// Phys. Plasmas – 2009. – Vol. 16. – P. 103701.
16 Schwabe M., Graves D.B. Simulating the dynamics of complex plasmas// Phys. Rev. E – 2013. – Vol. 88. – P. 023101.
17 Melzer A., Schella A., Miksch T., Schablinski J., Block D., Piel A., Thomsen H., Kahlert H., Bonitz M. Phase transitions of
finite dust clusters in dusty plasmas// Contrib. Plasma Phys. – 2012. – Vol. 52. – P. 795-803.
18 Davletov A. E., Yerimbetova L.T., Mukhametkarimov Ye.S., Kudyshev Zh.A., Influence of polarization phenomena on
radial distribution function of dust particles // Contrib.Plasma Phys. 53, No.4-5, 414-418, 2013.
19 Davletov A.E., Yerimbetova L.T., Ospanova A. Staticheskii strukturnyi faktor makrochastic v pylevoi plazme // Izvestia
RAN RK. – 2013. – S.51-55.
20 Bredov R., Bornath Th., Kraeft W.-D., Redmer R. Hypernetted chain calculations for multi-component and nonequilibrium
plasmas// Contrib. Plasma Phys. – 2013. – Vol. 53. – P. 276-284.
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Davletov, A. E., Yerimbetova, L. T., & Mukhametkarimov, E. S. (2013). The solution of the Ornstein - Zernike relation in the HNC approximation for a dusty plasma with finite size particles. Recent Contributions to Physics (Rec.Contr.Phys.), 47(4), 3–9. Retrieved from https://bph.kaznu.kz/index.php/zhuzhu/article/view/103
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