International Journal of Nonlinear Analysis and Applications

Investigating magnetoacoustic waves in a semiconductor plasma

Document Type : Research Paper

Authors

1 Department of Physics, Tafresh University, Tafresh, Iran

2 Department of Mathematics, Faculty of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran

Abstract

In this research, the scattering properties of magneto-acoustic waves in plasma and the presence of Coulomb exchange effects and quantum effects have been investigated. A set of quantum fluid equations and Maxwell's equations (Consisting of Bohm potential, Fermi pressure, and exchange correlation) have been used to obtain a generalized dispersion relation. In semiconductor quantum plasma, scattering effects are due to charge separation between electrons and holes, quantum repulsion, nonlinearities due to large amplitude electrostatic potential, quantum degeneracy pressure, and exchange-correlation interaction. Therefore results show that the quantum corrections lead to changes in the scattering relationship and scattering properties of wave modes. In addition, it was shown that the corrections related to thermal effects are more important than quantum and magnetic field effects, and the results show that quantum effects are negligible compared to thermal and magnetic effects, and the contribution of exchange-correlation interaction also becomes significant with the increase of the external magnetic field. These results may be necessary for very small electronic devices or solid-density plasmas and the understanding of numerous collective phenomena in quantum plasmas.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 16, Issue 1
January 2025
Pages 51-57
  • Receive Date: 08 May 2023
  • Revise Date: 19 October 2023
  • Accept Date: 30 November 2023