Dust-induced instability with dust charge fluctuations in a rotating dusty plasma

The dust-induced instability involving charge fluctuations is studied in rotating dusty plasma. Due to dust charging dynamics, the dust-induced instability mode which was first put forward by Mikhailovskii et al. [A.B. Mikhailovskii, S.V. Vladimirov, J.G. Lominadze, V.S. Tsypin, A.P. Churikov, N.N. Erokhin, R.M.O. Galvao, Phys. Plasmas 15, 014504 (2008)] will be replaced by dust-charging-rotational instability (DCRI) mode. Comparing to the dust-induced instability, the new instability mode also exists in an increasing rotation frequency profile, but always with a greater growth rate. The analysis indicates that the rotational instability mode induced by dust charge is always unstable. The present results may be used to investigate the rotating dusty plasma experiments and observations.