Propagation characteristics of weakly magnetized electromagnetic modes in a relativistic partially degenerate electron plasma

2021

On employing linearized Vlasov–Maxwell equations the solution of relativistic electromagnetic extraordinary mode is investigated for the wave propagating perpendicular to a uniform ambient magnetic field (in the presence of arbitrary magnetic field limit i.e., ω > Ω > k.v) in partially degenerate (i.e., for T F ≥ T and T ≠ 0) electron plasma under long wavelength limit (ω ≫ k.v). Due to the inclusion of weak quantum degeneracy the relativistic Fermi–Dirac distribution function is expanded under the relativistic limit ( m 0 2 c 2 2 p 2 < 1 $\frac{{m}_{0}^{2}{c}^{2}}{2{p}^{2}}{< }1$ ) to perform momentum integrations which generate the Polylog functions. The propagation characteristics and shifting of cutoff points of the extraordinary mode are examined in different relativistic density and magnetic field ranges. The novel graphical results of extraordinary mode in relativistic quantum partially degenerate (for μ T = 0 $\frac{\mu }{T}=0$ ), nondegenerate (for μ T ≈ − 1 $\frac{\mu }{T}\approx -1$ ) and fully/completely degenerate (for μ T ≈ $\frac{\mu }{T}\approx $ 1) environments are obtained and the previously reported results are retraced as well.

Impact of partially thermal electrons on the propagation characteristics of extraordinary mode in relativistic regime

2021

Anomalous skin effects and energy transfer of R-L waves in relativistic partially degenerate plasma

2022

On utilizing the kinetic model for transverse permittivity in a weakly magnetized electron plasma, the two particular phenomena of wave-particle interaction i.e., anomalous skin depth and energy transfer are examined in circularly polarized R- and L-waves within relativistic Fermi–Dirac distributed plasmas. Further, the non-trivial influential roles by some salient parameters i.e., relativistic thermal T m 0 c 2 > 0 $\left(\frac{T}{{m}_{0}{c}^{2}} > 0\right)$ , γ (from bulk flow such that γ > 1), degeneracy (due to μ T $\frac{\mu }{T}$ ) and weak ambient magnetic field (B 0), on above mentioned wave phenomena, are also analyzed. The derived results, in the form of polylog function, delineate the inverse relation between spatial damping and energy flux transportation regarding the variation in above mentioned dominant parameters. It is noticed that the relativistic thermal parameter serve as a penetration depth elevator for R- and L-waves and so they transfer energy slowly, whereas the degeneracy and relativistic γ parameters submerse the depth and cause upraise in energy transfer. Moreover, the increase in weak ambient magnetic field reduces the penetration depth of R-wave that delivers its energy rapidly, whereas it enlarges the penetration depth of L-wave which causes slow delivery of its energy. The results discussed (both analytically and graphically) are justifiably confirmed with previous illustrative reports. Applicability of the analysis relevant in partially degenerate regions both in space (e.g., in white dwarfs and young brown dwarf) and laboratory (e.g., in laser plasma interaction, liquid metals, inertial confinement fusion (ICF) and Fermi gas of metals) plasmas.

Obliquely propagating electron Bernstein wave in arbitrary degenerate plasma

Abbas

2023

On employing the linearized Vlasov–Maxwell model, the dispersion relation of obliquely propagating Bernstein wave in thermal electron gas including quantum effect of arbitrary/partial degeneracy in the presence of non-relativistic arbitrary magnetic field limits is derived. In particular, the results are obtained in the propagation range k z > k x with k x ≠ 0 under high frequency (ω ≫ k.v) and weak propagation (Ω ≫ k.v or k → 0) limits. The propagation angle θ ′ $\left({\theta }^{\prime }\right)$ defines the obliqueness of wave such that for θ′ = 0° and 90° we obtain the perpendicular propagating pure Bernstein wave and parallel propagating Langmuir wave, respectively. The graphical analysis of newly reported results is made under the numerically evaluated values and the previously reported results are also retained. The possible applications of present results are found in partially/arbitrary dense astrophysical quantum plasma e.g., in brown dwarfs as well as they have wide ranging potential applications in modern technology e.g., in semi-conductors.