POP Nameplate
  • Volume/Page
  • Keyword
  • DOI
  • Citation
  • Advanced
   
 
 
 

Flickr Twitter UniPHY Group iResearch App Facebook

Physics of Plasmas / Volume 3 / Issue 11
FREE

FULL-TEXT OPTIONS:

Phys. Plasmas 3, 3890 (1996); http://dx.doi.org/10.1063/1.871577 (12 pages)

Lattice waves in dust plasma crystals

Frank Melandsø

The Auroral Observatory, University of Tromsø, N‐9037 Tromsø, Norway

(Received 19 April 1996; accepted 12 August 1996)

Techniques previously known from solid state physics are used to look at linear and weak non‐linear wave propagation in dust lattices. These expansion techniques include only electrostatic interactions between neighbor particles in addition to assuming small vibrations in the dust lattice. As a simple model for the dust lattice, a one‐dimensional Bravais lattice is considered. For this particular lattice, expressions for the linear phase velocity are compared to a quasi‐particle simulation. The word quasi here means that only the dust particles are represented as diffuse objects, while the plasma is treated as a fluid. The simulation is also used to study the breakdown of the analytical theory and to investigate non‐linear dust lattice waves. A very good agreement is found between the analytical expressions and the particle simulations, for cases where the average dust separation a is of the order of or larger than the plasma Debye length λD. This is a condition which very often applies to dust crystal in laboratory experiments. Application of this wave theory is therefore discussed with respect to recent laboratory experiments where dust lattice waves are excited. © 1996 American Institute of Physics.

KEYWORDS and PACS

Keywords

PLASMA IMPURITIES, DUSTS, PLASMA POTENTIAL, CRYSTAL MODELS, DISPERSION RELATIONS, DEBYE LENGTH, PLASMA WAVES, CRYSTAL LATTICES, WAVE PROPAGATION

PACS

  • 52.25.Vy

    Impurities in plasmas

  • 52.35.Mw

    Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.)

  • 52.65.-y

    Plasma simulation

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.871577

PUBLICATION DATA

ISSN

1070-664X (print)  
1089-7674 (online)

  1. N. N. Rao, P. K. Shukla, and M. Y. Yu, Planet. Space Sci. 38, 4 (1990).
  2. P. K. Shukla, Phys. Scr. 45, 504 (1992). [Inspec]
  3. M. Rosenberg, Planet. Space Sci. 41, 229 (1993).
  4. F. Melandsø, T. K. Aslaksen, and O. Havnes, Planet. Space Sci. 41, 321 (1993).
  5. R. Varma, P. K. Shukla, and V. Krishan, Phys. Rev. E 47, 3612 (1993). [MEDLINE]
  6. M. R. Jana, A. Sen, and P. K. Kaw, Phys. Rev. E 48, 3930 (1993). [MEDLINE]
  7. G. Praburam and J. Goree, Phys. Plasmas 3, 1212 (1996PHPAEN000003000004001212000001).
  8. A. Barkan, R. L. Merlino, and N. D'Angelo, Phys. Plasmas 2, 3563 (1995PHPAEN000002000010003563000001).
  9. J. Pieper and J. Goree, “Dispersion of plasma dust acoustic waves in the strong-coupling regime,” submitted to Phys. Rev. Lett. (1996).
  10. M Zuzic, H. Thomas, and G. Morfill, J. Vac. Sci. Technol. A 14, 490 (1996JVTAD6000014000002000490000001).
  11. J.H. Chu and Lin I, Phys. Rev. Lett. 72, 4009 (1994). [MEDLINE]
  12. H. Thomas, G. E. Morfill, V. Demmel, J. Goree, B. Feuerbacher, and D. Möhlmann, Phys. Rev. Lett. 72, 4009 (1994). [MEDLINE]
  13. Y. Hayashi and K. Tachibana, Jpn. J. Appl. Phys. 33, L804 (1994).
  14. N. W. Ashcroft and N. D. Mermin, Solid State Physics (HRW International Editions, Philadelphia, 1976).
  15. D. H. E. Dubin, Phys. Rev. A 42, 4972 (1990). [MEDLINE]
  16. S. Hamaguchi and R.T. Farouki, J. Chem Phys. 101, 9876 (1994JCPSA6000101000011009876000001). [ISI]
  17. S. Hamaguchi and R.T. Farouki, J. Chem Phys. 101, 9885 (1994JCPSA6000101000011009885000001).
  18. R.T. Farouki and S. Hamaguchi, Appl. Phys. Lett. 61, 2973 (1992APPLAB000061000025002973000001).
  19. S. C. Lowell, Proc. R. Soc. London Ser. A 318, 93 (1970). [Inspec]
  20. N. J. Zabusky, in Proceedings of the Symposium on Non-linear Partial Differential Equations, edited by W. Ames (Academic, New York, 1967), p. 223.
  21. V. I. Karpman, Phys. Lett. A 25, 708 (1967).
  22. V. I. Karpman, Non-linear Waves in Dispersive Media (Pergamon, New York, 1975).
  23. G. B. Whitham, Linear and Nonlinear Waves (Wiley, New York, 1974).
  24. H. Okuda and C. K. Birdsall, Phys. Fluids 13, 2123 (1970PFLDAS000013000008002123000001).
  25. X. H. Zheng and J. C. Earnshaw, Phys. Rev. Lett. 75, 4214 (1995). [MEDLINE]
  26. S. Ichimaru, Rev. Mod. Phys. 65, 255 (1993).
  27. F. Melandsø and P. K. Shukla, Planet. Space Sci. 43, 635 (1995). [Inspec] [ISI]
  28. P. S. Epstein, Phys. Rev. 23, 710 (1924).
  29. F. Melandsø, T. Nitter, T. K. Aslaksen, and O. Havnes, J. Vac. Sci. Technol. A 14, 511 (1996JVTAD6000014000002000511000001).
  30. G. Lapenta, Phys. Rev. Lett. 75, 4409 (1995). [MEDLINE]
  31. F. Melandsø and J. Goree, Phys. Rev. E 52, 5312 (1995). [MEDLINE]
  32. C. Canuto, M.Y. Hussaini, A. Quarteroni, and T.A. Zang, Spectral Methods in Fluid Dynamics (Springer, New York, 1988).
  33. C. A. J. Fletcher, Computational Techniques for Fluid Dynamics (Springer, New York, 1988), Vol. 1.



Close

Google Calendar

ADVERTISEMENT

Your Recent History Recent History Help

Recently Viewed

  1. Lattice waves in dust plasma crystals
  2. Flow shear induced fluctuation suppression in finite aspect ratio shaped tokamak plasma
  3. Development of the indirect‐drive approach to inertial confinement fusion and the target physics basis for ignition and gain
  4. On the mechanism for edge localized mode mitigation by supersonic molecular beam injection
Go to AIP Home
Copyright © American Institute of Physics
close