Abstract
Dispersion properties of some low-frequency modes in magnetized dusty plasmas have been investigated theoretically, taking into account the dust size distribution. In contrast to earlier work on dispersion properties of different modes in magnetized dusty plasmas with a single dust size, it is assumed that the dust grains are distributed in size. Assuming that the dust size is given by a power law distribution, with a nonzero minimum and finite maximum grain size, the effect of dust size distribution on the dispersion properties of some electrostatic and electromagnetic modes in magnetized dusty plasmas is investigated. It is seen that in the very low-frequency (VLF) regime, taking into account the size distribution leads to a new kind of damping for an electrostatic dust-cyclotron and right-handed circularly polarized (RCP) electromagnetic Alfvén mode, whereas the left-handed circularly polarized (LCP) Alfvén mode remains undamped. In the low-frequency (LF) regime, size distribution results only in the modification of the dispersion relations for all the modes.
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