Effect of Bohm potential and magnetohydrodynamic wave propagation in Fermi degenerate quantum plasma
Abstract
In this paper we have investigated the effect of Bohm potential and electron spin on the low frequency magnetohydrodynamic wave propagation in quantum plasma. The elementary ideal about quantum collision process is also discussed. The quantum magnetohydrodynamic (QMHD) model is modified and a general dispersion relation is obtained using the plane wave approximation. This dispersion relation is reduced for the parallel and perpendicular mode of propagations. We find that the motion of Fermion particles in presence of magnetic field show the scattering phenomena. The quantum Bohm potential is coupled with the Alfven mode in perpendicular propagation but in the parallel mode of propagation the dispersion relation is unaffected due to the presence of magnetic field. From the curves we find that increase in Alfven velocity and sound velocity increases the frequency of the perturbations.
About this article
References
[1] P. K. Shukla, S. Ali: Dust acoustic waves in quantum plasmas, Phys. Plasmas 12 (2005) 114502
[2] M. Modestov, V. Bychkov, M. Marklund, The Rayleigh-Taylor instability in quantum magnetized plasma with para and ferromagnetic properties, Phys. Plasmas 16 (2009) 032106
[3] J. Cao, H. Ren, Z. Wu, P. K. Chu, Quantum effects on Rayleigh-Taylor instability in magnetized plasma, 15 (2008) 012110.
[4] S. Ali, P. K. Shukla: Dust acoustic solitary waves in a quantum plasma, Phys. Plasmas 13 (2006) 022313.
[5] G. Manfredi, F. Haas: Self-consistent fluid model for a quantum electron gas, Phys. Rev. B 64 (2001) 075316
View more references (11)
[6] B. Eliasson, P. K. Shukla, Dispersion properties of electrostatic oscillations in quantum plasmas, J. Plasma Physics 76 (2010) 7–17.
[7] F. Haas: A magnetohydrodynamic model for quantum plasmas, Phys. Plasmas 12 (2005) 062117
[8] A. P. Mishra, N. K. Ghosh, P. K. Shukla: Surface waves in magnetized quantum electron-positron plasmas, J. Plasma Physics 76 (2010) 87–99.
[9] A. Serbeto, L. F. Monteiro, K. H. Tsui, J. T. Mendonca: Quantum plasma fluid model for high-gain free-electron lasers, Plasma Phys. Control. Fusion 51 (2009) 124024.
[10] S. Xiao-Xia, W. Chun-Hua, G. Feng, Lattice Waves in Two-Dimensional Hexagonal Quantum Plasma Crystals, Chin. Phys. Lett. 27 (2010) 025204.
[11] W. Masood, M. Salimullah, H.A. Shah: A quantum hydrodynamic model for multicomponent quantum magnetoplasma with Jeans term, Physics Letters A 372 (2008) 6757–6760.
[12] R. P. Prajapati, R. K. Chhajlani: Effect of Hall current on the Jeans instability of magnetized viscous quantum plasma, Phys. Scr. 82 (2010) 055003.
[13] R. P. Prajapati, R. K. Chhajlani: Effect of magnetic field on Jeans instability of quantum dusty plasma: application in white dwarf star, Acta Technica 56 (2011) T414-T424.
[14] W. Masood, A. Mushtaq: Obliquely propagating magnetosonic waves in multicomponent quantum magnetoplasma, Physics Letters A 372 (2008) 4283-4289
[15] F. A. Asenjo: The quantum effects of the spin and the Bohm potential in the oblique propagation of magnetosonic waves, Physics letters A 376 (2012) 2496-2500
[16] A. Mushtaq, S. V. Vladimirov: Fast and slow magnetosonic waves in two-dimensional spin-1/2 quantum plasma, Phys. Plasmas 17 (2010) 102310.