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Streaming instability in a velocity–sheared dusty plasma

A two-stream instability, obtained from kinetic theory, of strongly velocity-sheared inhomogeneous streaming electron in a magnetized plasma in the presence of negatively charged dust is discussed. Various cold plasma approximations were considered and it is shown that when the diamagnetic effect of ion can be ignored, the excited mode could be dust lower hybrid-like. On other hand, if the dust is treated as immobile background, the excited wave is ion lower hybrid-like. In both cases, the growth rate is reduced due to the presence of the dust particles and the velocity shear scale length, L E , is on the order of k -1 (where k is wave vector) for the most unstable mode. An example is given from the plume. Journal of the Nigerian Association of Mathematical Physics Vol. 10 2006: pp. 601-606