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Re-Examination of Dust Grain Charging in a Plasma

The charging of a dust grain in an unmagnetized plasma is re-examined. A description of the far-field dipole-like potential is presented for the case when the dust grain absorbs electrons and ions from the background plasma. The dust particle dynamics in the effective potential is analyzed. Also examined are the electron and ion currents that reach the dust grain surface in a Maxwellian plasma. Finally, it is shown that the trapped ions produce only an insignificant current and therefore have little effect on the dust grain surface potential.