The role of induced charges in the accretion of charged dust grains

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Charged Particles, Cosmic Dust, Electrostatic Charge, Induction, Planetary Evolution, Stellar Mass Accretion, Astrophysics, Collision Parameters, Hydrogen Clouds, Planetary Nebulae, Spheres

Scientific paper

The interaction of two spherical dust grains with nonzero radii is investigated in order to study the effect of induced charges on the collision cross sections and collision rates. The force and potential between two spherical conductors is calculated along with the collision cross sections for conducting grains and the collision rates for conducting grains in thermal (Brownian) motion. The behavior of dielectric and conducting spheres is compared by considering the problem of a point charge and a dielectric sphere. The results obtained indicate that induced-charge effects can significantly increase the collision rate of charged grains only in regions where the modulus of the charge ratio is very different from the ratio of grain radii and that dielectric and conducting grains do not behave in a substantially different manner with respect to induced-charge effects.

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