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

Abstract

Abstract 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.