Computer Science
Scientific paper
Apr 2004
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004aipc..703...92v&link_type=abstract
PLASMAS IN THE LABORATORY AND IN THE UNIVERSE: New Insights and New Challenges. AIP Conference Proceedings, Volume 703, pp. 92-
Computer Science
Dusty Or Complex Plasmas, Plasma Crystals, Magnetized Plasmas, Electrostatic Waves And Oscillations
Scientific paper
Perturbations propagating obliquely to the magnetic field lines are studied in a cylindric magnetized dusty plasma configuration. A set of two coupled equations describing the perturbed electrostatic and gravity potentials in a radially nonuniform plasma is derived. The equations are discussed and solved in two limits, without and with the self-gravity effects included. Without the gravity the corresponding equation for the electrostatic potential is solved analytically for a Gaussian-type equilibrium density profile. The general solution, which can be applied to various plasma situations, is expressed in terms of the Kummer confluent hypergeometric functions. In the self-gravitating case the equations are solved analytically for a homogeneous plasma and the general solutions are written in terms of the Bessel functions, describing well-behaving radially localized wave amplitudes.
Poedts Stefaan
Vranjes Jovo
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