Dust Acoustic Rotation Modes in Magnetized Complex Plasmas

A theoretical investigation is made of the low-frequency electrostatic modes in a cylindrical system and in magnetized dusty plasmas. The linear dispersion relation of the rotational modes is derived. We discuss the difference between the magnetized and unmagnetized modes. When the dusty plasma is confined in a finite region, the void behavior is observed at high speed rotation. Vivid structures of different mode number solutions are illustrated.