Nonlinear structure in a current-carrying collisional dusty plasma
Abstract
A perpendicular ion drift is investigated as a mechanism for the generation of magnetic field structures in a highly collisional dusty plasma. The basic dissipation mechanism is assumed to be the dust-neutrals momentum exchange, so that plasmas with a small ionization fraction are natural candidates for experiments. The model reduces to a nonlinear partial differential equation for the vector potential. The conditions for linear instability are determined. The stationary states are periodic arrangements for the magnetic field, described by a Lienard equation. The fully depleted (ion-dust) case is also considered in detail. Applications to planetary rings, comets and dust acoustic instability experiments are analyzed. A necessary condition for the validity of the model is a sufficiently slow time-scale of the generated magnetic fields.
Cite
@article{arxiv.0805.4176,
title = {Nonlinear structure in a current-carrying collisional dusty plasma},
author = {F. Haas and P. K. Shukla},
journal= {arXiv preprint arXiv:0805.4176},
year = {2009}
}
Comments
16 pages, 2 figures