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Determining the equilibrium charge of conducting spheres in plasmas isimportant for interpreting Langmuir probe measurements, plasma surfaceinteractions and dust particle behaviour. The Monte Carlo code Dust inMagnetised Plasmas (DiMPl) has been developed for the purpose of determiningthe forces and charging behaviour of conducting spheroids under a variety ofconditions and benchmarked against previous numerical results. The floatingpotentials of spheres in isothermal, collisionless, hydrogen plasmas as afunction of magnetic field strength and size relative to Debye length arestudied using DiMPl and compared with new results from the N-body tree code(pot) and recent particle in cell measurements. The results of all threesimulations are similar, identifying a small range at modest ion magnetisationparameters over which the electron current is reduced relative to the ioncurrent. The potential as a function of magnetic field strength is found to berelatively insensitive to dust size for dust smaller than the Debye length. Thepotential of large dust is found to depend less strongly on flow speed formodest magnetic field strengths and to decrease with increasing flow speed inthe presence of strong magnetic fields for smaller dust. A semi-empirical modelfor the potential of small dust in a collisionless plasma as a function ofmagnetic field strength is developed which reproduces the expected currents andpotentials in the high and low magnetic field limit.

Floating Potential Of Spherical Dust In Collisionless Magnetised Plasmas