Investigating magnetoacoustic waves in a semiconductor plasma

Document Type : Research Paper


1 Department of Physics, Tafresh University, Tafresh, Iran

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



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.


[1] N. Ahmad and P. Kumar, Surface plasma wave in spin-polarized semiconductor quantum plasma, Laser Particle Beams 38 (2020), 159.
[2] M. Akbari-Moghanjoughi and Y. Jung, Electron-exchange effects on the charge capture process in degenerate quantum plasmas, Phys. Plasmas 21 (2014), 032108.
[3] F. Asenjo, The quantum effects of the spin and the Bohm potential in the oblique propagation of magnetosonic waves, Phys. Lett. A 376 (2012), 2496.
[4] K. Becker, A. Koutsospyros, S. Yin, C. Christodoulatos, N. Abramzon, J.C. Joaquin,  and G. Brelles-Marino, Environmental and biological applications of microplasmas, Plasma Phys. Control. Fusion 47 (2005), B513.
[5] S. Bhakta, Small amplitude waves and linear firehose and mirror instabilities in rotating polytropic quantum plasma, Phys. Plasmas 24 (2017), 082113.
[6] M. Bonitz, E. Pehlke, and T. Schoof, Attractive forces between ions in quantum plasmas: Failure of linearized quantum hydrodynamics, Phys. Rev. E 87 (2013), 033105.
[7] F. Chen, Introduction to Plasma Physics and Controlled Fusion, Springer, 1984.
[8] N. Crouseilles, P. Hervieux, and G. Manfredi, Quantum hydrodynamic model for the nonlinear electron dynamics in thin metal films, Phys. Rev. B 78 (2008), 155412.
[9] N. Crouseilles, P. Hervieux, and G. Manfredi, Quantum hydrodynamic model for the nonlinear electron dynamics in thin metal film, Phys. Rev. B 78 (2008), 155412.
[10] D. Dauger, J. Dawson, V. Decyk, M. Oper, and L. Silva, Nuclear reaction rates and energy in stellar plasmas: The effect of highly damped modes, Phys. Plasmas 8 (2001), no. 5, 2454–2460.
[11] R. Dreizler, E. Gross, Density Functional Theory: An Approach to the Quantum Many-Body Problem. Springer-Verlag, Berlin, 1990.
[12] B. Eliasson and P. Shukla, Nonlinear aspects of quantum plasma physics, Phys.-Uspekhi 53 (2010), no. 1, 51.
[13] S. Ghosh and A. Muley, Effect of quantum parameter–H on longitudinal electro–kinetic wave characteristic in magnetized semiconductor plasma, Int. J. Engin. Sci. Res. 4 (2015), 88.
[14] S. Ghosh and A. Muley, Novel modes of longitudinal electrokinetic waves in semiconductor quantum plasmas, J. Phys. Chem. Mater. 1 (2014), no. 1.
[15] P. Hervieux and G. Manfredi, Autoresonant control of the many-electron dynamics in nonparabolic quantum wells, Appl. Phys. Lett. 91 (2007), 061108.
[16] S. Hussain and S. Mahmood, Magnetoacoustic solitons in quantum plasma, Phys. Plasmas 18 (2011), 082109.
[17] Y. Jung, Quantum-mechanical effects on electron–electron scattering in dense high-temperature plasmas, Phys. Plasmas 8 (2001), 3842.
[18] M. Jamil, M. Salimullah, P. Shukla, C. Uzma, and I. Zeba, Colloidal crystal formation in a semiconductor quantum plasma, Phys. Plasmas 17 (2010), 032105.
[19] H. Khalilpour, Low-frequency surface waves on semi-bounded magnetized quantum plasma, Phys. Plasmas 22 (2015), 122112.
[20] S. Liu and Y. Liu, Nonlinear behavior of electromagnetic waves in ultra-relativistic electron-positron plasmas, Contribut. Plasma Phys. 51 (2011), 698.
[21] P. Markowich, C. Ringhofer, and C. Schmeiser, Semiconductor Equations, Springer-Verlag, New York, 1990.
[22] M. Marklund and P. Shukla, Kinetic theory of electromagnetic ion waves in relativistic plasmas, Phys. Plasmas 13 (2006), 094503.
[23] G. Manfredi, How to model quantum plasma fields, Inst. Commun. 46 (2005), 263.
[24] A. Mehramiz, J. Mahmoodi, and S. Sobhanian, Approximation method for a spherical bound system in the quantum plasma, Phys. Plasmas 17 (2010), 082110.8.
[25] A. Mushtaq and A. Qamar, Parametric studies of nonlinear magnetosonic waves in two-dimensional quantum magnetoplasmas, Phys. Plasmas 16 (2009), 022301.
[26] K. Ourabah and M. Tribeche, Quantum ion-acoustic solitary waves: The effect of exchange correlation, Phys. Rev. E 88 (2013), 045101.
[27] D. Pines, Classical and quantum plasmas, J. Nuclear Energy. Part C, Plasma Phys. Accel. Thermon. Res. 2 (1961), no. 1, 5.
[28] D. Pines, Elementary Excitations in Solids, Oxford Westview Press, 1999.
[29] G. Shapatakovskaya, Semiclassical model of a one-dimensional quantum dot, J. Exper. Theor. Phys. 102 (2006), 466.
[30] T. Taniuti and H. Washimi, Self-trapping and instability of hydromagnetic waves along the magnetic field in a cold plasma, Phys. Rev. Lett. 21 (1968), 209.
[31] Y. Wang and L. Wei, Quantum ion-acoustic waves in single-walled carbon nanotubes studied with a quantum hydrodynamic model, Phys. Rev. B 75 (2007), 193407.

Articles in Press, Corrected Proof
Available Online from 18 February 2024
  • Receive Date: 08 May 2023
  • Revise Date: 19 October 2023
  • Accept Date: 30 November 2023