Surface waves in magnetized quantum electron-positron plasmas

Abstract

The dispersion properties of electrostatic surface waves propagating along the interface between a quantum magnetoplasma composed of electrons and positrons, and vacuum are studied by using a quantum magnetohydrodynamic plasma model. The general dispersion relation for arbitrary orientation of the magnetic field and the propagation vector is derived and analyzed in some special cases of interest (viz. when the magnetic field is directed parallel and perpendicular to the boundary surface). It is found that the quantum effects facilitate the propagation of electrostatic surface modes in a dense magnetoplasma. The effect of the external magnetic field is found to increase the frequency of the quantum surface wave. The existence of a singular wave on the boundary surface is also proved, and its properties are analyzed numerically. It is shown that the new wave characteristics appear due to the Rayleigh type of the wave.

Low frequency electromagnetic oscillations in dense degenerate electron-positron pair plasma, with and without ions

“…11,15,21 Impressive progress in the development of ultra-intense lasers make it possible to create a positron density of 5 Â 10 22 =cm 3 in laboratory by using two 330 fs, 7 Â 10 21 W=cm 2 laser pulses. 34 Next generation superintense lasers has potential to create even more dense pair plasma.…”

“…/ @t 2 À n i0 e m i @ 2 / @z 2 þ 1 c @ @z @A z1 @t ¼ 0: (15) Eliminating A z1 from Eqs. (14) and (15) and Fourier analyzing the resultant equation, we obtain…”

“…11,14,15 Such plasmas can have enormously high magnetic field, e.g., neutron stars (white dwarfs) field can exceed 100 TG (100 MG). Ultra-high power lasers are now capable to generate transient magnetic fields of the order of 10 9 G; which overlaps with millisecond pulsars and magnetic white dwarfs.…”

“…17,23 The list includes the investigation of surface waves in magnetized quantum electron-positron plasmas, 15 dynamics of ion double layer shock structures in magnetized quantum plasmas, 24 electromagnetic drift waves in nonuniform quantum magnetized electron-positron-ion plasmas, 25 propagation characteristics of solitary waves and double layers in dense electron-positron-ion quantum plasmas, 26,27 existence and stability analysis of electrostatic waves in a nonuniform electron-positron magnetoplasma, 28 modulational instability of ion-acoustic wave envelopes in magnetized quantum electron-positron-ion plasmas, 29 propagation of planar and nonplanar ion-acoustic envelope solitons in an electron-positron-ion quantum plasma, 30 etc. However, to the best of our knowledge, the properties of low frequency electromagnetic modes in quantum pair and pairion plasmas including the quantum statistical pressure and quantum tunneling effect have not been studied yet.…”

Effect of Bohm potential and magnetohydrodynamic wave propagation in Fermi degenerate quantum plasma

“…In general in quantum plasma, high density and low temperature are usually considered as the typical plasma environment in which quantum effect occurs. The atmospheres of neutron star and interiors of super dense white dwarf star are assumed to be like a Fermi gas where the number density of plasmas is controlled by Fermi-Dirac distribution rather than the Maxwell-Boltzmann distribution [8][9][10]. The quantum corrections are obtained in the classical dispersion relations by many authors recently with different assumptions [11].…”