The electrostatics of a dusty plasma

Astronomy and Astrophysics – Astronomy

Scientific paper

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Cosmic Dust, Electrostatic Charge, Plasma Potentials, Plasma-Particle Interactions, Saturn Rings, Space Plasmas, Astronomical Models, Capacitance, Debye Length, Particle Size Distribution, Permeability, Poisson Equation, Voyager 1 Spacecraft, Voyager 2 Spacecraft

Scientific paper

Voyager 1 and 2 observations of the Saturnian ring system have led to the discovery of several interesting phenomena associated with its fine dust component. The dust grains are immersed in a plasma. The present paper is concerned with the electrostatics of a dusty plasma, giving particular attention to the capacitance and charge of an individual grain in the presence of neighboring grains and the surrounding plasma. The Poisson equation and gauge considerations are discussed along with a solution of the Poisson equation for several models, taking into account impermeable grains, permeable grains, and a spherical capacitor model. A comparison of potential shapes for three models is conducted, and the effect of neighbors on charging currents is explored.

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