Abstract
A dispersion relation for low-frequency electrostatic waves in a magnetized, homogeneous, and collisional dusty plasma is derived from a set of continuity, momentum, and energy equation, together with Poisson equation. It has been found that there exist three modes: the wholly damped mode due to thermal diffusion, damped dust acoustic wave, and damped dust cyclotron wave. The former two modes were discovered by Wang X.G. et al. [Phys. Plasmas 4, (1997) 3759] for the first time in an unmagnetized dusty plasma; the latter one is reduced to the purely oscillating mode [N.D'Angelo, Planet. Space Sci.38,1143(1990)], when the collision is neglected. The influences of dust grain density, neutral gas pressure, and magnetic field on the waves are discussed. Another possible explanation to PIC (particle in cell)-simulation results carried out by Otain and Bhattacharjee [Phys. Rev. Lett. 78,1468 (1997)] is suggested.
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