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

Abstract

Quantum plasma oscillations are studied in a strongly magnetized, ultra-dense plasma with degenerate electrons and positrons. The dispersive role of electron and positron quantum effects on low frequency (in comparison to electron cyclotron frequency) shear electromagnetic wave is investigated by employing hydrodynamic formulation. In the presence of ions, the density balance changes, and the electromagnetic wave (with frequency lower than the ion cyclotron frequency) is shown to couple with electrostatic ion mode under certain conditions. For such low frequency waves, it is also seen that the contribution of electron and positron degeneracy pressure is dominant as compared to their diffraction effects. The results are analyzed numerically for illustrative purpose pointing out their relevance to the dense laboratory (e.g., super-intense laser-dense matter interactions) and astrophysical plasmas.

Electromagnetic solitons in degenerate relativistic electron–positron plasma

“…Existence and stability of EM solitary pulses in classical relativistic e-p plasma have been intensively investigated in the past [18][19][20][21]). In contrast, the nonlinear dynamics of EM pulses in quantum degenerate relativistic plasma were investigated just for low frequency modes (see [22] and references therein).…”

Nonlinear Electromagnetic Waves in a Degenerate Electron-Positron Plasma

“…The solitary pulses are formed due to a balance between the compressional wave dispersion arising from the curl of the inertial forces in Faraday's law and the nonlinearity associated with the divergence of the electron and positron fluxes, the nonlinear Lorentz forces, the advection of the EP fluids, and the nonlinear plasma current densities. Later, a strongly magnetized, ultradense EP plasma with degenerate electrons and positrons is considered by Khan et al [33,34]. They found that by introducing ion species in their EP model, the shear electromagnetic wave is shown to couple with electrostatic ion mode under certain conditions.…”

Standing electromagnetic solitons in degenerate relativistic plasmas

“…Successful operation of X-ray free-electron lasers in different centers world wide [12] opens up new perspectives to study the EM pulse penetration and its subsequent dynamics in super dense plasma in laboratory conditions.Highly compressed plasma with an average interparticle distance smaller than their thermal de Broglie wavelength, can be considered as a degenerate Fermi gas. When plasma density increases, the more ideal it becomes and the interactions of its particles can be neglected [13].EM solitons in classical relativistic plasma is being studied intensively [14], but existence and stability of solitary solutions in degenerate quantum relativistic plasma are investigated mostly for low frequencies (see [15] and references therein). The publication goal is to consider existence of a standing, high frequency EM soliton in the relativistic degenerate electron plasma.…”

“…EM solitons in classical relativistic plasma is being studied intensively [14], but existence and stability of solitary solutions in degenerate quantum relativistic plasma are investigated mostly for low frequencies (see [15] and references therein). The publication goal is to consider existence of a standing, high frequency EM soliton in the relativistic degenerate electron plasma.…”