Dust-lower-hybrid drift instabilities with dust charge fluctuations
in inhomogeneous dusty magnetoplasmas

M. Salimullah¹, M. Rizwan¹, P.K. Shukla², and M. Nambu³

¹Department of Physics, Jahangirnagar University, Savar, Dhaka-1342, Bangladesh
²Institut für Theoretische Physik-IV, Ruhr-Universität, D-44780 Bochum, Germany
³Tokyo Metropolitan Institute of Technology, Asahigaoka, Hino, Tokyo 191-0065, Japan


Effects of uniform magnetic field, the plasma inhomogeneity, and the dust charge fluctuations on the drift waves have been investigated in a nonuniform dusty magnetoplasma. Vlasov equation has been solved to find the perturbed distribution function for the plasma particles in the presence of a low-frequency electrostatic wave in the inhomogeneous magnetized dusty plasma using the method of guiding center coordinates. Charging currents of electrons and ions to a spherical dust grain in a nonuniform magnetized dusty plasma have been calculated to study the charge fluctuation damping or growth of the low-frequency drift waves. It is found that for strongly magnetized electrons and ions, the charge fluctuation damping is reduced significantly from that of an unmagnetized plasma[cf. Eq. (38)]. For sufficiently hot electrons, the drift wave exihibits an instability in absence of the charge fluctuation damping [cf. Eq. (42)].