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Shear Alfvén Wave with Quantum Exchange-Correlation Effects in Plasmas

  • Zahid Mir , M. Jamil EMAIL logo , A. Rasheed and M. Asif
Published/Copyright: August 30, 2017

Abstract

The dust shear Alfvén wave is studied in three species dusty quantum plasmas. The quantum effects are incorporated through the Fermi degenerate pressure, tunneling potential, and in particular the exchange-correlation potential. The significance of exchange-correlation potential is pointed out by a graphical description of the dispersion relation, which shows that the exchange potential magnifies the phase speed. The low-frequency shear Alfvén wave is studied while considering many variables. The shear Alfvén wave gains higher phase speed at the range of small angles for the upper end of the wave vector spectrum. The increasing dust charge and the external magnetic field reflect the increasing tendency of phase speed. This study may explain many natural mechanisms associated with long wavelength radiations given in the summary.

Acknowledgments

M. Jamil acknowledges the late Prof. M. Salimullah for fruitful discussions during the last days of his life. Z. Mir and M. Asif thank HEC Pakistan for partial support (No. 2323/NRPU).

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Received: 2017-3-13
Accepted: 2017-7-23
Published Online: 2017-8-30
Published in Print: 2017-9-26

©2017 Walter de Gruyter GmbH, Berlin/Boston

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