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

  • Syeda Noureen EMAIL logo
Published/Copyright: September 14, 2021
Zeitschrift für Naturforschung A
From the journal Zeitschrift für Naturforschung A Volume 76 Issue 12

Abstract

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 ) 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 ), nondegenerate (for μ T ≈ − 1 ) and fully/completely degenerate (for μ T ≈ 1) environments are obtained and the previously reported results are retraced as well.

Keywords: degenerate Fermi gases; electromagnetic waves; magnetized plasmas; plasma kinetic equations; relativistic plasmas
PACS: 52.25.Dg; 52.35.Hr; 52.27.Ny; 03.75.Ss; 52.25.Xz
Corresponding author: Syeda Noureen, Department of Physics, Government College University, Katchery Road, Lahore 54000, Pakistan, E-mail:

  1. Author contribution: The author has accepted responsibility for the entire content of this submitted manuscript and approved submission.

  2. Research funding: None declared.

  3. Conflict of interest statement: The author declares no conflicts of interest regarding this article.

Appendix: Series expansion of hypergeometric functions and calculation of momentum integral

F 2 1 3 2 , 5 2 , 3 , − α 2 = 1 − α 2 5 + ⋯ F 2 1 5 2 , 7 2 , 5 , − α 2 = 1 − α 2 7 + ⋯ F 2 1 3 2 , 2 , 7 2 , − α 2 = 1 − 3 α 2 14 + ⋯ F 3 2 1 2 , 2 , 1 , 5 2 , 1 , − α 2 = 1 − 2 α 2 5 + ⋯ F 3 2 3 2 , 2 , 1 , 7 2 , 3 , − α 2 = 1 − 2 α 2 7 + ⋯ F 3 2 3 2 , 3 , 2 , 7 2 , 3 , − α 2 = 1 − 3 α 2 14 + ⋯ F 2 1 3 2 , 2 , 5 2 , − α 2 = 1 − 3 α 2 10 + ⋯ ( A )

The momentum integral used in Eqs. (5)–(7) is:

∫ 0 ∞ p 2 n + 1 1 − m 0 2 c 3 2 p T z − 1 exp c p T + 1 d p = n Γ 2 n m 0 2 c 2 L i 1 + 2 n − z 1 − 2 1 + 2 n T 2 L i 2 + 2 n − z m 0 2 c 4 L i 1 + 2 n − z 2 c T 2 n ( B )

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Received: 2021-06-12
Revised: 2021-08-08
Accepted: 2021-08-30
Published Online: 2021-09-14
Published in Print: 2021-12-20

© 2021 Walter de Gruyter GmbH, Berlin/Boston

Articles in the same Issue

  1. Frontmatter
  2. Dynamical Systems & Nonlinear Phenomena
  3. Study of shocks in a nonideal dusty gas using Maslov, Guderley, and CCW methods for shock exponents
  4. Nonlinear excitations and dynamic features of dust ion-acoustic waves in a magnetized electron–positron–ion plasma
  5. Bifurcation analysis in a predator–prey model with strong Allee effect
  6. Hydrodynamics
  7. Mixed initial-boundary value problems describing motions of Maxwell fluids with linear dependence of viscosity on the pressure
  8. Quantum Theory
  9. Spin coherent states, Bell states, spin Hamilton operators, entanglement, Husimi distribution, uncertainty relation and Bell inequality
  10. Solid State Physics & Materials Science
  11. Tailoring the optical properties of tin oxide thin films via gamma irradiation
  12. Thermodynamics & Statistical Physics
  13. Impact of partially thermal electrons on the propagation characteristics of extraordinary mode in relativistic regime
  14. The first-order phase transition of melting for molecular crystals by Frost–Kalkwarf vapor- and sublimation-pressure equations
  15. Mathieu-state reordering in periodic thermodynamics
  16. Corrigendum
  17. Corrigendum to: Study of ferrofluid flow and heat transfer between cone and disk
https://doi.org/10.1515/zna-2021-0166
Keywords for this article
degenerate Fermi gases; electromagnetic waves; magnetized plasmas; plasma kinetic equations; relativistic plasmas

Articles in the same Issue

  1. Frontmatter
  2. Dynamical Systems & Nonlinear Phenomena
  3. Study of shocks in a nonideal dusty gas using Maslov, Guderley, and CCW methods for shock exponents
  4. Nonlinear excitations and dynamic features of dust ion-acoustic waves in a magnetized electron–positron–ion plasma
  5. Bifurcation analysis in a predator–prey model with strong Allee effect
  6. Hydrodynamics
  7. Mixed initial-boundary value problems describing motions of Maxwell fluids with linear dependence of viscosity on the pressure
  8. Quantum Theory
  9. Spin coherent states, Bell states, spin Hamilton operators, entanglement, Husimi distribution, uncertainty relation and Bell inequality
  10. Solid State Physics & Materials Science
  11. Tailoring the optical properties of tin oxide thin films via gamma irradiation
  12. Thermodynamics & Statistical Physics
  13. Impact of partially thermal electrons on the propagation characteristics of extraordinary mode in relativistic regime
  14. The first-order phase transition of melting for molecular crystals by Frost–Kalkwarf vapor- and sublimation-pressure equations
  15. Mathieu-state reordering in periodic thermodynamics
  16. Corrigendum
  17. Corrigendum to: Study of ferrofluid flow and heat transfer between cone and disk
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