Longitudinal oscillations in system of charged particles with dipole moment
72 32
Keywords:
Dusty plasmas, Yukawa system, dipole-dipole interactionAbstract
In this paper, we investigate the effect of an additional weak dipole-dipole interaction on the density oscillations of charged particles system where the interaction potential is screened Yukawa potential. In the studies, we used the method of molecular dynamics.We constructed autocorrelation function of the particle velocities (ACF) to study the dynamic properties of the system. In the same vein we studied the frequency of longitudinal vibrations with the help of Fourier transform of the autocorrelation function of the velocities. It was found that in two-dimensional Yukawa fluid frequency of longitudinal oscillations of the particles becomes sensitive with changing of coupling parameter, if even there is a little additional dipole-dipole interaction between the particles.
References
1 Nunomura S., Goree J., Hu S., Wang X., and Bhattacharjee A. Dispersion relations of longitudinal and transverse waves in two-dimensional screened Coulomb crystals//Phys. Rev. E. – 2002. – Vol.65. – P. 066402.
2 Grimes C.C. and Adams G.Observation of Two-Dimensional Plasmons and Electron-Ripplon Scattering in a Sheet of Elec-trons on Liquid Helium // Phys. Rev. Lett. – 1976. – Vol.36. – P. 145.
3 DonkoZ., Hartmann P., Kalman G.J., and Rosenberg M.Static and dynamic properties of 2-dimensional strongly coupled Yukawa liquids// Contrib. Plasma Phys. – 2003. – Vol. 43. – P. 282.
4 Ramazanov T.S., Gabdulin A.Zh., and Moldabekov Zh.A. MD Simulation of Charged Dust Particles With Dipole Mo-ments// IEEE Trans. Plasma Sci. – 2015. – Vol. 43, no. 12. – P. 4187.
5 Ramazanov T.S., Moldabekov A.Zh., and Gabdullin M.T. Multipole expansion and effective interaction potentials of plas-ma particles // to be published in Phys.Rew. E.
6 Kodanova S.K., Ramazanov T.S., Bastykova N.K., and Moldabekov Z.A. Effect of dust particle polarization on scattering processes in complex plasmas // Phys. Plasmas. – 2015. – Vol. 22, no. 6. – P. 063703.
7 Sukhinin G.I. and Fedoseev A.V. Formation of a trapped-ion cloud around a dust particle in low-density plasma // IEEE Trans. Plasma Sci. – 2010. – Vol. 38, no. 9. – P.2345–2352.
8 Lisin E.A., Lisina I.I., Vaulina O.S., and Petrov O.F. Solution of the inverse Langevin problem for open dissipative systems with anisotropic interparticle interaction // Phys. Plasmas. – 2015. – Vol. 22, no. 3. – P.033704.
9 Bastykova N.Kh., Kovacs A.Zs., Korolov I., Kodanova S.K., Ramazanov T.S., Hartmann P., and Donko Z. Controlled Levitation of Dust Particles in RF+DC Discharges// Contrib. Plasma Phys. – 2015. – Vol. 55. – P. 671.
10 Yousefi R., Davis A.B., Carmona-Reyes J., Mattheews L.S., and Hyde T.W. Measurement of net electric charge and dipole moment of dust aggregates in a complex plasma// Phys. Rev. E. – 2014. – Vol. 90. – P. 033101.
11 Chai K.-B. and Bellan P.M. Study on morphology and growth of water–ice grains spontaneously generated in a laboratory plasma // J. Atmos. Solar-Terrestrial Phys. – 2015. – Vol. 127. – P. 83–91.
12 Dosbolayev M.K., Utegenov A.U., and Ramazanov T.S. Structural Properties of Buffer and Complex Plasmas in RF Gas Discharge-Imposed Electrostatic Field // IEEE Trans. Plasma Sci. – 2015. – Vol. 44, no. 4. – P. 469.
13 Allen M.P. and Tildesley D.J. Computer Simulation of Liquids. – New York, NY, USA: Oxford Univ. Press, 1991.
14 Baimbetov F.B., Ramazanov T.S., Dzhumagulova K.N., Kadyrsizov E.R., Petrov O.F. and Gavrikov A.V. Modelling of dusty plasma properties by computer simulation methods // J. Phys. A: Math. Gen. – 2006. – Vol. 39. – P. 4521.
15 Ramazanov T.S. and Dzhumagulova K.N. Shear Viscosity of Dusty Plasma Obtained on the Basis of the Langevin Dynam¬ics// Contrib. Plasma Phys. – 2008. – Vol. 48. – P. 357.
16 Ott T., Stanley M., and Bonitz M. Non-invasive determination of the parameters of strongly coupled 2D Yukawa liquids // Phys. Plasmas. – 2011. – Vol. 18, no. 6. – P. 063701.
17 Hartmann P., Kalman G.J., Donkó Z., and Kutasi K. Equilibrium properties and phase diagram of two-dimensional Yukawa systems // Phys.Rev.E. – 2005. – Vol. 72. – P. 026409.
18 Schmidt P., Zwicknagel G., Reinhard P.-G., and Toepffer C. Longitudinal and transversal collective modes in strongly cor¬related plasmas// Phys. Rev. E. – 1997. – Vol.56. – P. 7310.
19 Hansen J.P., Levesque D., Weis J.J. Self-Diffusion in the Two-Dimensional, Classical Electron Gas// Phys. Rev. Lett. – 1979. – Vol. 43. – P. 979.
20 Ramazanov T.S., Dzhumagulova K.N., Jumabekov A.N., and Dosbolayev M.K. Structural properties of dusty plasma in direct current and radio frequency gas discharges// Phys. Plasmas. – 2008. – Vol. 15. – P. 053704.
21 Ramazanov T.S., Dzhumagulova K.N., Kodanova S.K., Daniyarov T.T., and Dosbolayev M.K. Thermodynamic properties of dusty plasma on the basis of the Langevin dynamics // Contrib. Plasma Phys. – 2009. – Vol. 49, nos. 1–2. – P. 15–20.
22 Halperin B.I. and Nelson D.R. Theory of Two-Dimensional Melting // Phys. Rev. Lett. – 1978. – Vol. 41. – P. 121.
23 Golden K.I., Kalman G.J., Hartmann P., and Donko Z. Dynamics of two-dimensional dipole systems // Phys. Rev. E. – 2010. – Vol. 82. – P. 036402.
2 Grimes C.C. and Adams G.Observation of Two-Dimensional Plasmons and Electron-Ripplon Scattering in a Sheet of Elec-trons on Liquid Helium // Phys. Rev. Lett. – 1976. – Vol.36. – P. 145.
3 DonkoZ., Hartmann P., Kalman G.J., and Rosenberg M.Static and dynamic properties of 2-dimensional strongly coupled Yukawa liquids// Contrib. Plasma Phys. – 2003. – Vol. 43. – P. 282.
4 Ramazanov T.S., Gabdulin A.Zh., and Moldabekov Zh.A. MD Simulation of Charged Dust Particles With Dipole Mo-ments// IEEE Trans. Plasma Sci. – 2015. – Vol. 43, no. 12. – P. 4187.
5 Ramazanov T.S., Moldabekov A.Zh., and Gabdullin M.T. Multipole expansion and effective interaction potentials of plas-ma particles // to be published in Phys.Rew. E.
6 Kodanova S.K., Ramazanov T.S., Bastykova N.K., and Moldabekov Z.A. Effect of dust particle polarization on scattering processes in complex plasmas // Phys. Plasmas. – 2015. – Vol. 22, no. 6. – P. 063703.
7 Sukhinin G.I. and Fedoseev A.V. Formation of a trapped-ion cloud around a dust particle in low-density plasma // IEEE Trans. Plasma Sci. – 2010. – Vol. 38, no. 9. – P.2345–2352.
8 Lisin E.A., Lisina I.I., Vaulina O.S., and Petrov O.F. Solution of the inverse Langevin problem for open dissipative systems with anisotropic interparticle interaction // Phys. Plasmas. – 2015. – Vol. 22, no. 3. – P.033704.
9 Bastykova N.Kh., Kovacs A.Zs., Korolov I., Kodanova S.K., Ramazanov T.S., Hartmann P., and Donko Z. Controlled Levitation of Dust Particles in RF+DC Discharges// Contrib. Plasma Phys. – 2015. – Vol. 55. – P. 671.
10 Yousefi R., Davis A.B., Carmona-Reyes J., Mattheews L.S., and Hyde T.W. Measurement of net electric charge and dipole moment of dust aggregates in a complex plasma// Phys. Rev. E. – 2014. – Vol. 90. – P. 033101.
11 Chai K.-B. and Bellan P.M. Study on morphology and growth of water–ice grains spontaneously generated in a laboratory plasma // J. Atmos. Solar-Terrestrial Phys. – 2015. – Vol. 127. – P. 83–91.
12 Dosbolayev M.K., Utegenov A.U., and Ramazanov T.S. Structural Properties of Buffer and Complex Plasmas in RF Gas Discharge-Imposed Electrostatic Field // IEEE Trans. Plasma Sci. – 2015. – Vol. 44, no. 4. – P. 469.
13 Allen M.P. and Tildesley D.J. Computer Simulation of Liquids. – New York, NY, USA: Oxford Univ. Press, 1991.
14 Baimbetov F.B., Ramazanov T.S., Dzhumagulova K.N., Kadyrsizov E.R., Petrov O.F. and Gavrikov A.V. Modelling of dusty plasma properties by computer simulation methods // J. Phys. A: Math. Gen. – 2006. – Vol. 39. – P. 4521.
15 Ramazanov T.S. and Dzhumagulova K.N. Shear Viscosity of Dusty Plasma Obtained on the Basis of the Langevin Dynam¬ics// Contrib. Plasma Phys. – 2008. – Vol. 48. – P. 357.
16 Ott T., Stanley M., and Bonitz M. Non-invasive determination of the parameters of strongly coupled 2D Yukawa liquids // Phys. Plasmas. – 2011. – Vol. 18, no. 6. – P. 063701.
17 Hartmann P., Kalman G.J., Donkó Z., and Kutasi K. Equilibrium properties and phase diagram of two-dimensional Yukawa systems // Phys.Rev.E. – 2005. – Vol. 72. – P. 026409.
18 Schmidt P., Zwicknagel G., Reinhard P.-G., and Toepffer C. Longitudinal and transversal collective modes in strongly cor¬related plasmas// Phys. Rev. E. – 1997. – Vol.56. – P. 7310.
19 Hansen J.P., Levesque D., Weis J.J. Self-Diffusion in the Two-Dimensional, Classical Electron Gas// Phys. Rev. Lett. – 1979. – Vol. 43. – P. 979.
20 Ramazanov T.S., Dzhumagulova K.N., Jumabekov A.N., and Dosbolayev M.K. Structural properties of dusty plasma in direct current and radio frequency gas discharges// Phys. Plasmas. – 2008. – Vol. 15. – P. 053704.
21 Ramazanov T.S., Dzhumagulova K.N., Kodanova S.K., Daniyarov T.T., and Dosbolayev M.K. Thermodynamic properties of dusty plasma on the basis of the Langevin dynamics // Contrib. Plasma Phys. – 2009. – Vol. 49, nos. 1–2. – P. 15–20.
22 Halperin B.I. and Nelson D.R. Theory of Two-Dimensional Melting // Phys. Rev. Lett. – 1978. – Vol. 41. – P. 121.
23 Golden K.I., Kalman G.J., Hartmann P., and Donko Z. Dynamics of two-dimensional dipole systems // Phys. Rev. E. – 2010. – Vol. 82. – P. 036402.
Downloads
How to Cite
Молдабеков, Ж., Рамазанов, Т., & Габдуллин, А. (2016). Longitudinal oscillations in system of charged particles with dipole moment. Recent Contributions to Physics (Rec.Contr.Phys.), 58(3), 10–17. Retrieved from https://bph.kaznu.kz/index.php/zhuzhu/article/view/469
Issue
Section
Plasma Physics
