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Paper   IPM / Physic / 6734
School of Physics
  Title:   Regular Structures in Self-Gravitating Dusty Plasmas
1.  P.K. Shukla
2.  L. Stenflo
3.  J. Mahmoudi
4.  N.L. Tsintsadze
5.  J.T. Mendoca
  Status:   Published
  Journal: Physica Scripta
  No.:  96
  Vol.:  62
  Year:  2000
  Pages:   70-75
  Supported by:  IPM
The formation of nonlinear structures in a self-gravitating dusty plasma is considered when the dust dynamics includes the electrostatic and gravitational forces on an equal footing. Here, we obtain a Helmholtz wave equation, which describes the propagation of stationary gravitational-electrostatic waves. The characteristic lengths of the space regularities, as found here, are much smaller than the wavelengths of the gravitational-electrostatic waves. Furthermore, it is shown that consideration of a uniform dusty plasma rotation around a fixed axis, gives rise to a circular rotating filament structure. Finally, the problem of the Jeans instability for circular waves in a rotating dusty plasma is generalized, and it is found that the purely growing Jeans instability assumes the form of a periodic instability.

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