Advertisement

Pramana

, 93:87 | Cite as

Counterstreaming beams in magnetised Vlasov plasma

  • L PalodhiEmail author
  • F Califano
  • M E Dieckmann
  • F Pegoraro
Article
  • 47 Downloads

Abstract

In this paper, we investigate nonrelativistic, kinetic, linear phase of the filamentation instability when an external magnetic field is present in the direction of the counterstreaming electron beams using Vlasov simulations in 1D-3V space. We first investigate the growth rate of instability. In the linear growth regime, our results correspond to the previous conclusions that with the increase in strength of the ambient magnetic field, there is a suppression of instability. Interestingly, we established that at a critical / threshold magnetic field, Vlasov simulations and particle-in-cell (PIC) simulations differ in their instability behaviour. At this particular magnetic field, there is a complete suppression of the growth of instability in Vlasov results compared to PIC simulations, where a strong growth of instability is shown. It is believed that thermal noise in the PIC leads to the growth. However, Vlasov simulations show wave–wave coupling which stabilises the modes. In this work, our focus is to demonstrate the difference in this behaviour and to thoroughly analyse the spectra and wave generation for the same.

Keywords

Counterstreaming beams magnetised plasma marginal instability 

PACS Nos

52.65.Ff 52.25.Xz 52.65.−y 52.35.−g 

References

  1. 1.
    E S Weibel, Phys. Rev. Lett. 2, 83 (1958)ADSCrossRefGoogle Scholar
  2. 2.
    M V Medvedev, L O Silva and M Kamionkowaski, Astrophys. J. 642, L1 (2006)ADSCrossRefGoogle Scholar
  3. 3.
    M V Medvedev and A Loeb, Astrophys. J. 526, 697 (1999)ADSCrossRefGoogle Scholar
  4. 4.
    M V Medvedev, Astrophys. Space Sci. 307, 245 (2007)ADSCrossRefGoogle Scholar
  5. 5.
    J Arons, AIPC 983, 200 (2008)ADSGoogle Scholar
  6. 6.
    G A Askar’yan, S V Bulanov, F Pegoraro and A M Pukhov, JETP Lett. 60, 240 (1994)Google Scholar
  7. 7.
    G A Askar’yan, S V Bulanov, F Pegoraro and A M Pukhov, Commun. Plasma Phys. Contr. Fus. 17, 35 (1995)Google Scholar
  8. 8.
    F Califano, N Attico, F Pegoraro, G Bertin and S V Bulanov, Phys. Rev. Lett. 86, 5293 (2001)ADSCrossRefGoogle Scholar
  9. 9.
    S Belghit and A Sid, Pramana – J. Phys. 87: 96 (2016)ADSCrossRefGoogle Scholar
  10. 10.
    N Ahmad, V K Tripathy, Moiz Ahmad and M Rafat, Pramana – J. Phys. 86, 157 (2016)ADSCrossRefGoogle Scholar
  11. 11.
    M Strickland, Pramana – J. Phys. 84, 671 (2015)ADSCrossRefGoogle Scholar
  12. 12.
    S Saito and J I Sakai, Phys. Plasmas 11, 5547 (2004)ADSCrossRefGoogle Scholar
  13. 13.
    F Califano, F Pegoraro and S V Bulanov, Phys. Rev. E 56, 963 (1997)ADSCrossRefGoogle Scholar
  14. 14.
    F Califano, F Pegoraro, S V Bulanov and A Manganey, Phys. Rev. E57, 7048 (1998)ADSCrossRefGoogle Scholar
  15. 15.
    R C Davidson and D A Hammer, Phys. Fluids 15, 317 (1972)ADSCrossRefGoogle Scholar
  16. 16.
    F Califano, T Cecchi and C Chiuderi, Phys. Plasmas 9, 451 (2002)ADSCrossRefGoogle Scholar
  17. 17.
    G Rowlands, M E Dieckmann and P K Shukla, New J. Phys. 9, 247 (2007)ADSCrossRefGoogle Scholar
  18. 18.
    M E Dieckmann, G Rowlands, I Kourakis and M Borghesi, Phys. Plasmas 16, 074502 (2009)ADSCrossRefGoogle Scholar
  19. 19.
    M Honda, J Meyer-ter-Vehn and A Pukhov, Phys. Plasmas 7, 1302 (2000)ADSCrossRefGoogle Scholar
  20. 20.
    J I Sakai, R Schlickeiser and P K Shukla, Phys. Lett. A 330, 384 (2004)ADSCrossRefGoogle Scholar
  21. 21.
    M Murakami and L M Lidsky, Phys. Rev. Lett. 24, 7 (1970)CrossRefGoogle Scholar
  22. 22.
    A Bret, Phys. Plasmas 14, 032103 (2007)ADSCrossRefGoogle Scholar
  23. 23.
    L Palodhi, F Califano and F Pegoraro, Plasma Phys. Control. Fusion 51, 125006 (2009)ADSCrossRefGoogle Scholar
  24. 24.
    A Stockem, M E Dieckmann and R Schlickeiser, Plasma Phys. Control Fusion 50, 025002 (2008)ADSCrossRefGoogle Scholar
  25. 25.
    S Ichimaru, Ann. Phys.20, 78 (1962)ADSMathSciNetCrossRefGoogle Scholar
  26. 26.
    B Coppi and F Pegoraro, Ann. Phys. 134, 376 (1981)ADSCrossRefGoogle Scholar
  27. 27.
    W M Nevins, G W Hammett, A M Dimits, W Dorland and D E Shumaker, Phys. Plasmas 12, 122305 (2005)ADSCrossRefGoogle Scholar
  28. 28.
    A Bottino, A G Peeters, R Hatzy, S Jolliet, B F McMillan, T M Tran and L Villard, Phys. Plasmas 14, 010701 (2007)ADSCrossRefGoogle Scholar
  29. 29.
    T H Dupree, Phys. Fluids 6, 1714 (1963)ADSMathSciNetCrossRefGoogle Scholar

Copyright information

© Indian Academy of Sciences 2019

Authors and Affiliations

  1. 1.Department of MathematicsIowa State UniversityAmesUSA
  2. 2.Department of PhysicsUniversity of PisaPisaItaly
  3. 3.Department of Science and Technology (ITN)Linkoping UniversityNorrköpingSweden

Personalised recommendations