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Advances in High Energy Physics
Volume 2016, Article ID 6793572, 6 pages
Research Article

Quantum Treatment of Kinetic Alfvén Waves Instability in a Dusty Plasma: Magnetized Ions

1Department of Space Science, Institute of Space Technology, Islamabad, Pakistan
2Department of Space Science, University of the Punjab, Lahore, Pakistan

Received 19 July 2016; Accepted 15 November 2016

Academic Editor: Anna Cimmino

Copyright © 2016 N. Rubab and G. Jaffer. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.


Kinetic Alfvén wave instability is examined rigorously in a uniform nondegenerate quantum dusty plasma. A linear dispersion relation of kinetic Alfvén wave in inertial regime is derived by incorporating Bohm potential in the linearized Vlasov model. It is found that the quantum correction appears due to the insertion of Bohm potential in Vlasov model and causes the suppression in the Alfvén wave frequency and the growth rates of instability. A number of analytical expressions for various modes of propagation are derived. It is also found that the system parameters, that is, streaming velocity, dust charge, number density, and quantum correction, significantly influence the dispersion relation and the growth rate of instability.