Low frequency modes in strongly coupled magnetized dusty plasmas are investigated based on the generalized hydrodynamic model for dust particles. A longitudinal hybrid-like mode in the perpendicular direction exists with weak damping. Especially, a peculiar transverse shear mode is found in the parallel direction due to strong coupling in the magnetized dusty plasma. Its group velocity is proportional to the wave vector, analogous to a torsional vibration mode in a solid. (C) 2004 American Institute of Physics.
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