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Waves and Instabilities in Relativistic, Anisotropic Drifting Astrophysical Plasma

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Abstract

The investigation of plasma waves and instabilities in the context of relativistic, anisotropic drifting astrophysical plasma is the focus of this study. Utilizing fluid equations in the linear regime, the research reveals the emergence of novel instabilities as a result of drift velocity. Furthermore, the study uncovers a modification in the condition for the mirror instability due to the drift velocity. These findings potentially hold significant implications for comprehending plasma behavior in space environments, particularly in regions like the solar wind or the interstellar medium. The study proposes the further development of the theory to directly apply to space plasma, which could enhance our understanding of the intricate astrophysical systems that are driven by plasma dynamics.

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The data used to support the findings of this study are included within the manuscript.

References

  1. E.R. Most, J. Noronha, Dissipative magnetohydrodynamics for nonresistive relativistic plasmas: An implicit second-order flux-conservative formulation with stiff relaxation. Phys. Rev. D 104(10), 103028 (2021)

    Article  ADS  MathSciNet  Google Scholar 

  2. P. Zhang, S.S. Bulanov, D. Seipt, A.V. Arefiev, A.G.R. Thomas, Relativistic plasma physics in supercritical fields. Phys. Plasmas 27(5), 050601 (2020)

  3. C. Vega, S. Boldyrev, V. Roytershteyn, M. Medvedev, Turbulence and particle acceleration in a relativistic plasma. Astrophys. J. Lett. 924(1), L19 (2022)

    Article  ADS  Google Scholar 

  4. A. De Angelis, V. Tatischeff, A. Argan, S. Brandt, A. Bulgarelli, A. Bykov, E. Costantini, R.C.D. Silva, I.A. Grenier, L. Hanlon, D. Hartmann, Gamma-ray astrophysics in the MeV range: The ASTROGAM concept and beyond. Exp. Astron. 51, 1225–1254 (2021)

    Article  ADS  Google Scholar 

  5. L. Nava, Gamma-Ray Bursts at the highest energies. Universe 7(12), 503 (2021)

    Article  ADS  Google Scholar 

  6. O. Luongo, M. Muccino, A roadmap to gamma-ray bursts: new developments and applications to cosmology. Galaxies 9(4), 77 (2021)

    Article  ADS  Google Scholar 

  7. S. Laha, C.S. Reynolds, J. Reeves, G. Kriss, M. Guainazzi, R. Smith, S. Veilleux, D. Proga, Ionized outflows from active galactic nuclei as the essential elements of feedback. Nat. Astron. 5(1), 13–24 (2021)

    Article  ADS  Google Scholar 

  8. D. Eckert, M. Gaspari, F. Gastaldello, A.M. Le Brun, O’Sullivan, E., Feedback from active galactic nuclei in galaxy groups. Universe 7(5), 142 (2021)

  9. H. Tagawa, B. Kocsis, Z. Haiman, I. Bartos, K. Omukai, J. Samsing, Mass-gap mergers in active galactic nuclei. Astrophys J 908(2), 194 (2021)

    Article  ADS  Google Scholar 

  10. T. di Matteo, Magnetic reconnection: Flares and coronal heating in active galactic nuclei. Mon. Not. R. Astron. Soc. 299, L15–L20 (1998)

    Article  ADS  Google Scholar 

  11. Y. Lyubarsky, J.G. Kirk, Reconnection in a striped pulsar wind. Astrophys. J. 547, 437–448 (2001)

    Article  ADS  Google Scholar 

  12. E.V. Gorbar, I.A. Shovkovy, Chiral anomalous processes in magnetospheres of pulsars and black holes. Eur. Phys. J. C 82(7), 625 (2022)

    Article  ADS  Google Scholar 

  13. A.K. Harding, The emission physics of millisecond pulsars. Millisecond Pulsars pp. 57-85 2021

  14. Y.E. Lyubarsky, On the relativistic magnetic reconnection. Mon. Not. R. Astron. Soc. 358, 113–119 (2005)

    Article  ADS  Google Scholar 

  15. C. Paz-Soldan, N.W. Eidietis, Y.Q. Liu, D. Shiraki, A.H. Boozer, E.M. Hollmann, C.C. Kim, A. Lvovskiy, Kink instabilities of the post-disruption runaway electron beam at low safety factor. Plasma Phys. Controlled Fusion 61(5), 054001 (2019)

    Article  ADS  Google Scholar 

  16. L. Dong, H. Zhang, D. Giannios, Kink instabilities in relativistic jets can drive quasi-periodic radiation signatures. Mon. Not. R. Astron. Soc. 494(2), 1817–1825 (2020)

    Article  ADS  Google Scholar 

  17. O. Bromberg, C.B. Singh, J. Davelaar, A.A. Philippov, Kink Instability: Evolution and Energy Dissipation in Relativistic Force-free Nonrotating Jets. Astrophys J 884(1), 39 (2019)

    Article  ADS  Google Scholar 

  18. O. Bromberg, A. Tchekhovskoy, Relativistic MHD simulations of core-collapse GRB jets: 3D instabilities and magnetic dissipation. Mon. Not. R. Astron. Soc. 456, 1739–1760 (2015)

    Article  ADS  Google Scholar 

  19. A. Cruz, M. McQuinn, Astrophysical plasma instabilities induced by long-range interacting dark matter. J. Cosmol. Astropart. Phys. 2023(04), 028 (2023)

    Article  Google Scholar 

  20. T.-Y.B. Yang, Y. Gallant, J. Arons, A.B. Langdon, Weibel instability in relativistically hot magnetized electron-positron plasmas. Phys. Fluids B 5, 3369–3387 (1993)

    Article  ADS  Google Scholar 

  21. B.R. Chawla, H. Unz, Electromagnetic waves in moving magneto-plasmas, The university press of Kansas, Lawrence (1971)

  22. H. Unz, Relativistic magneto-ionic theory for drifting plasma in longitudinal direction. Phys. Rev. 146(1), 92 (1966)

    Article  ADS  Google Scholar 

  23. I. Lerche, The Nonrelativistic Equations of Bulk Motion of a Relativistic Gas. III. Damping of the Suprathermal Mode by Random Fluctuations. Astrophys. J. 162, 161-162 (1970)

  24. T. Kassaw, G. Woldemhret, Relativistic Wave Propagation in Anisotropic Two-Component Magnetohydrodynamics Plasmas. Adv. Math. Phys. (2022)

  25. B. Eliasson, P.K. Shukla, Nonlinear aspects of quantum plasma physics: nanoplasmonics and nanostructures in dense plasmas. Plasma Fusion R. 4, 032–032 (2009)

  26. P.K. Shukla, B. Eliasson, Nonlinear aspects of quantum plasma physics. Physics-Uspekhi 53(1), 51 (2010)

  27. A. Abdikian, S. Mahmood, Acoustic solitons in a magnetized quantum electron-positron-ion plasma with relativistic degenerate electrons and positrons pressure. Phys. Plasmas 23(12), 122303 (2016)

    Article  ADS  Google Scholar 

  28. Z. Rahim, M. Adnan, A. Qamar, Nonlinear excitations of magnetosonic solitary waves and their chaotic behavior in spin-polarized degenerate quantum magnetoplasma. Chaos: An Interdisciplinary J. Nonlinear Sci. 31(2), 023133 (2021)

  29. C.F. Kennel, F.V. Coroniti, Magnetohydrodynamic model of Crab nebula radiation. Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 283, Aug. 15, 1984, p. 710-730. 283, 710-730 (1984)

  30. R.Y.E. Lovelace, C. Mehanian, C.M. Mobarry, M.E. Sulkanen, Astrophys. J. 62, I (1986)

  31. A. Marcowith, G. Ferrand, M. Grech, Z. Meliani, I. Plotnikov, R. Walder, Multi-scale simulations of particle acceleration in astrophysical systems. Living Rev. Comput. Astrophys. 6, 1–182 (2020)

    Article  ADS  Google Scholar 

  32. C. Palenzuela, M. Anderson, L. Lehner, S.L. Liebling, D. Neilsen, Binary black holes’ effects on electromagnetic fields. Phys. Rev. Lett. 103(8), 081101 (2009)

    Article  ADS  Google Scholar 

  33. E.G. Tsikarishvili, J.G. Lominadze, J.I. Javakhishvili, Hydrodynamics of collisionless relativistic plasma with pressure anisotropy. Phys. Plasmas 1(1), 150–156 (1994)

    Article  ADS  Google Scholar 

  34. F. Hoffman, E. Teller, Phys. Rev. 80, 692 (1950)

    Article  ADS  MathSciNet  Google Scholar 

  35. M. Cissoko, Ondes et discontinuités en magnéto-hydrodynamique anisotrope relativiste. In Annales de l’institut Henri Poincaré. Section A, Physique Théorique 22(1), 1-27 (1975)

  36. E. Asseo, D. Beaufils, Role of the pressure anisotropy in the relativistic pulsar wind. Astrophys. Space Sci. 89, 133–141 (1983)

    Article  ADS  Google Scholar 

  37. M. Gedalin, Linear waves in relativistic anisotropic magnetohydrodynamics. Phys. Rev. E 47(6), 4354 (1993)

    Article  ADS  Google Scholar 

  38. E.G. Tsikarishvili, A.D. Rogava, Phys. Rev. E 56, 3050 (1994)

    Article  ADS  Google Scholar 

  39. D. Winterhalter, M. Neugebauer, B.E. Goldstein, E.J. Smith, B.T. Tsurutani, S.J. Bame, A. Balogh, Magnetic holes in the solar wind and their relation to mirror-mode structures. Space Sci. Rev. 72, 201–204 (1995)

    Article  ADS  Google Scholar 

  40. M.L. Stevens, J.C. Kasper, A scale-free analysis of magnetic holes at 1 AU. J. Geophys. Res. Space Phys. 112(A5) (2007)

  41. B.T. Tsurutani, G.S. Lakhina, O.P. Verkhoglyadova, E. Echer, F.L. Guarnieri, Y. Narita, D.O. Constantinescu, Magnetosheath and heliosheath mirror mode structures, interplanetary magnetic decreases, and linear magnetic decreases: Differences and distinguishing features. J. Geophys. Res. Space Phys. 116(A2) (2011)

  42. O. Enríquez-Rivera, X. Blanco-Cano, C.T. Russell, L.K. Jian, J.G. Luhmann, K.C. Simunac, A.B. Galvin, Mirror-mode storms inside stream interaction regions and in the ambient solar wind: A kinetic study. J. Geophys. Res. Space Physics 118(1), 17–28 (2013)

    Article  ADS  Google Scholar 

  43. P. Hellinger, Comment on the linear mirror instability near the threshold. Phys. Plasmas 14(8) (2007)

  44. D.J. Southwood, M.G. Kivelson, Mirror instability: 1. Physical mechanism of linear instability. J. Geophys. Res. Space Phys. 98(A6), 9181–9187 (1993)

    Article  ADS  Google Scholar 

  45. A. Lichnerovich, Relativistic Hydrodynamics and Magnetohydrodynamics (Benjamin, New York, 1967)

    Google Scholar 

  46. G.F. Chew, M.L. Goldberger, F.E. Low, The Boltzmann equation an d the one-fluid hydromagnetic equations in the absence of particle collisions. Proceedings of the Royal Society of London. Series A. Math. Phys. Sci. 236(1204), 112-118 (1956)

  47. H. Alfvén, C. Fathammar, COsmical Electrodynamics (Clarendon, Oxford, 1963), p.p98

    Google Scholar 

  48. E.G. Harris, Relativistic magnetohydrodynamics. Phys. Rev. 108(6), 1357 (1957)

  49. G.L. Kalra, B. Singh, S.N. Kathuria, Firehose and mirror instabilities in a collisionless heat conducting plasma. J. Plasma Phys. 34(2), 313-318 (1985)

  50. A. Hasegawa, Drift mirror instability in the magnetosphere. Phys. Fluids 12(12), 2642–2650 (1969)

    Article  ADS  Google Scholar 

  51. P. Hellinger, Comment on the drift mirror instability. Phys. Plasmas 15(5) (2008)

  52. D. Herčík, P.M. Trávníček, J.R. Johnson, E.H. Kim, P. Hellinger, Mirror mode structures in the asymmetric Hermean magnetosheath: Hybrid simulations. J. Geophys. Res. Space Physics 118(1), 405–417 (2013)

    Article  ADS  Google Scholar 

  53. P. Hellinger, L. Matteini, S. Landi, A. Verdini, L. Franci, Trávníček, P. M., Plasma turbulence and kinetic instabilities at ion scales in the expanding solar wind. Astrophys. J. Lett. 811(2), L32 (2015)

  54. B. Abraham-Shrauner, Propagation of hydromagnetic waves through an anisotropic plasma. J. Plasma Phys. 1(3), 361–378 (1967)

    Article  ADS  Google Scholar 

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  1. Department of Physics, Wolkite University, P. O. Box 07, Wolkite, Ethiopia

    Temesgen Kassaw

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Kassaw, T. Waves and Instabilities in Relativistic, Anisotropic Drifting Astrophysical Plasma. Braz J Phys 54, 108 (2024). https://doi.org/10.1007/s13538-024-01489-9

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