Regular Structures in SelfGravitating Dusty Plasmas
Abstract
The formation of nonlinear structures in a selfgravitating 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 gravitationalelectrostatic waves. The characteristic lengths of the space regularities, as found here, are much smaller than the wavelengths of the gravitationalelectrostatic 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.
 Publication:

Physica Scripta
 Pub Date:
 July 2000
 DOI:
 10.1238/Physica.Regular.062a00070
 Bibcode:
 2000PhyS...62...70T
 Keywords:

 52.25.Vy; 52.35.Fp; 95.30.k