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Paper   IPM / Physic / 6705
School of Physics
  Title:   Dust Lattice Waves in Plasma Crystal
1.  B. Farrokhi
2.  P.K. Shukla
3.  N.L. Tsintsadze
4.  D.D. Tskhakaya
  Status:   Published
  Journal: Phys. Plasmas
  No.:  55
  Vol.:  7
  Year:  2000
  Pages:   814-818
  Supported by:  IPM
The dust lattice wave in dusty plasma crystals is reexamined, taking into account the dependence of the dust grain charge on the grain potential. The Poisson equation for small grain potentials then assumes the form of the Schr?dinger equation. The spatial distribution of the potential in the lattice includes the effect of the whole system of dust particles. Such a self-consistent description gives the dispersion relation for the dust lattice wave, which is different from the expression found earlier. The case of large grain charge is also considered. The frequency of the lattice oscillation increases considerably for large grain charges. Furthermore, it is noted that an ideal lattice can only exist if the dusty plasma parameters satisfy a definite relation between the dusty plasma Debye radius, the intergrain separation, and the grain size.

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