The electrostatics of a dusty plasma
Abstract
The potential distribution in a plasma containing dust grains were derived where the Debye length can be larger or smaller than the average intergrain spacing. Three models were treated for the grainplasma system, with the assumption that the system of dust and plasma is chargeneutral: a permeable grain model, an impermeable grain model, and a capacitor model that does not require the nearest neighbor approximation of the other two models. A gaugeinvariant form of Poisson's equation was used which is linearized about the average potential in the system. The charging currents to a grain are functions of the difference between the grain potential and this average potential. Expressions were obtained for the equilibrium potential of the grain and for the gaugeinvariant capacitance between the grain and the plasma. The charge on a grain is determined by the product of this capacitance and the grainplasma potential difference.
 Publication:

In NASA
 Pub Date:
 January 1986
 Bibcode:
 1986icii.reptS....W
 Keywords:

 Dust;
 Electrostatics;
 Models;
 Plasmas (Physics);
 Charged Particles;
 Debye Length;
 Electron Density (Concentration);
 Gauge Invariance;
 Plasma Physics