Collisional Mechanism of Expanding Wavenumbers Range of Weibel-Type Instability in Magnetoactive Plasma

Cover Page

Cite item

Full Text

Abstract

For plasma with anisotropic velocity distribution of particles in the form of two counter-propagating bi-Maxwellian beams, including bi-Maxwellian plasma, in the presence of external magnetic field parallel to the beams, it is shown that in a wide range of parameters, particle collisions lead to the expansion of the wavenumbers range, generally towards the long-wavelength region, and weaken the conditions for the occurrence of the Weibel-type instability. In the specified expanded range, its growth rate, found by means of solving the dispersion equation for the wave vectors orthogonal to the external magnetic field, turns out to be less than or on the order of the frequency of particle collisions. Thus, in this range of parameters, the instability development and formation of large-scale magnetic turbulence in a plasma with weak particle collisions require the long-term injection of particles with anisotropic velocity distribution.

About the authors

N. A. Emelyanov

Gaponov-Grekhov Institute of Applied Physics, Russian Academy of Sciences

Author for correspondence.
Email: n.emelyanov@ipfran.ru
Russian Federation, Nizhny Novgorod, 603950

V. V. Kocharovsky

Gaponov-Grekhov Institute of Applied Physics, Russian Academy of Sciences

Email: n.emelyanov@ipfran.ru
Russian Federation, Nizhny Novgorod, 603950

References

  1. Weibel E. // Phys. Rev. Lett., 1959. V. 2. P. 83. doi: 10.1103/PhysRevLett.2.83.
  2. Hamasaki S. // Phys. Fluids. 1968. V. 11. P. 2724. doi: 10.1063/1.1691879.
  3. Kalman G., Montes C., Quémada D. // Phys. Fluids. 1968. V. 11. P. 1797.
  4. Landau R. W., Cuperman S. // J. Plasma Phys. 1970. V. 4. P. 13.
  5. Davidson R.C., Hammer D.A. // Phys. Fluids. 1972. V. 15. P. 317. doi: 10.1063/1.1693910.
  6. Bornatici M., Lee K.F. // Phys. Fluids, 1970. V. 13. P. 3007.
  7. Tautz R.C., Schlickeiser R. // Phys. Plasmas. 2006. V. 13. P. 062901. doi: 10.1063/1.2207588.
  8. Vagin K.Y., Uryupin S.A. // Plasma Phys. Reps. 2014. V. 40. P. 393.
  9. Takabe H. // Phys. Plasmas. 2023. V. 30. P. 030901. doi: 10.1063/5.0130264.
  10. Grassi A., Grech M., Amiranoff F., Pegoraro F., Macchi A., Riconda C. // Phys. Rev. E. 2017. V. 95. P. 023203. doi: 10.1103/PhysRevE.95.023203.
  11. Medvedev M.V., Loeb A. // Astrophys. J. 1999. V. 526. P. 697.
  12. Robinson A.P. L., Strozzi D J., Davies J.R., Gremillet L., Honrubia J.J., Johzaki T., Solodov A.A. // Nuclear Fusion. 2014. V. 54. P. 054003.
  13. Кочаровский В.В., Кочаровский Вл.В., Мартьянов В.Ю., Тарасов С.В. // УФН. 2016. Т. 186. С. 1267. doi: 10.3367/UFNr.2016.08.037893.
  14. Wallace J.M., Epperlein E.M. // Phys. Fluids B: Plasma Phys. 1991. V. 3. P. 1579.
  15. Wallace J.M., Brackbill J.U., Cranfill C.W., Forslund D.W., Mason R. J. // Phys. Fluids. 1987. V. 30. P. 1085. doi: 10.1063/1.866305.
  16. Kumar Kuri D., Das N. // Phys. Plasmas. 2014. V. 21. P. 042106. doi: 10.1063/1.4870083.
  17. Ryutov D.D., Fiuza F., Huntington C.M., Ross J.S., Park H.S. // Phys. Plasmas. 2014. V. 21. P. 032701. doi: 10.1063/1.4867062.
  18. Mahdavi M., Khanzadeh H. // Phys. Plasmas. 2013. V. 20. P. 052114. doi: 10.1063/1.4807035.
  19. Schoeffler K.M., Silva L.O. // Phys. Rev. Res. 2020. V. 2. P. 033233.
  20. Aman-ur-Rehman A.U.R., Ali Shan S., Majeed T. // Phys. Plasmas. 2017. V. 24. P. 122113. doi: 10.1063/1.4990111.
  21. Ibscher D., Lazar M., Schlickeiser R. // Phys. Plasmas. 2012. V. 19. P. 072116. doi: 10.1063/1.4736992.
  22. Емельянов Н.А., Кочаровский Вл.В. // Изв. вузов. Радиофизика. 2023. Т. 66.
  23. Nezlin M.V. Physics of Intense Beams in Plasmas. IOP Publishing Ltd., 1993. Ch. 4.
  24. Kadomstev B.B., Mikhailovskii A.B., Timofeev A.V. // Sov. Phys. JETP. 1965. V. 20. P. 1517.
  25. Okada T., Niu K. // J. Plasma Phys. 1980. V. 24. P. 483.
  26. Molvig K. // Phys. Rev. Lett. 1970. V. 35. P. 1504.
  27. Honda M. // Phys. Rev. E. 2004. V. 69. P. 016401.
  28. Karmakar A., Kumar N., Shvets G., Polomarov O., Pukhov A. // Phys. Rev. Lett. 2008. V. 101. P. 255001.
  29. Ахиезер А.И., Ахиезер И.А., Половин Р.В., Ситенко А.Г., Степанов К.Н. Электродинамика плазмы. М.: Наука, 1974. Гл. 1.
  30. Бородачёв Л.В., Коломиец Д.О. // Вестн. Московского ун-та. Сер 3. Физика. Астрономия. 2010. Т. 2. С. 14.

Supplementary files

Supplementary Files
Action
1. JATS XML
Download

Copyright (c) 2024 Russian Academy of Sciences