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Enhancement in the electromagnetic beam-plasma instability due to ion streaming

  • NITIN SHUKLA (a1), A. STOCKEM (a1), F. FIÚZA (a1) and L. O. SILVA (a1)


We investigate the Weibel instability in counter-propagating electron–ion plasmas with focus on the ion contribution, considering a realistic mass ratio. A generalized dispersion relation is derived from the relativistic theory by assuming an initially anisotropic temperature, which is represented by a waterbag distribution in momentum space, which shows an enhanced growth rate due to ion response. Two-dimensional particle-in-cell simulations support the theoretical analysis, showing a further amplification of magnetic field on ion time scale. The effect of an initial anisotropic temperature is investigated showing that the growth rate is monotonously decreased if the transverse spread is increased. Nevertheless, the presence of ions generates that the instability can develop for significantly higher electron temperatures. Suppression of oblique mode is also explored by introducing a parallel velocity spread.



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Birk, G. T., Crusius-Wätzel, A. R. and Lesch, H. 2001 Astrophys. J. 559, 96.
Bludman, S. A., Watson, K. M. and Rosenbluth, M. N. 1960 Phys. Fluids 3, 747.
Bret, A., Gremillet, L. and Bénisti, D. 2010 Phys. Rev. E 81, 036402.
Bret, A., Gremillet, L. and Deutsch, C. 2007 Nucl. Instrum. Methods Phys. Res. A 577, 317.
Davidson, R. C., Hammer, D. A., Haber, I. and Wagner, C. E. 1972 Phys. Fluids 15, 317.
Drenkhahn, G. and Spruit, H. C. 2002 Astron. Astrophys. 391, 1141.
Fonseca, R. A., Silva, L. O., Tonge, J., Hemker, R. G., Dawson, J. M. and Mori, W. B. 2002 a IEEE Trans. Plasma Sci. 30, 28.
Fonseca, R. A., Silva, L. O., Tsung, F. S., Decyk, V. K., Lu, W., Ren, C., Mori, W. B., Deng, S., Lee, S., Katsouleas, T. et al. , 2002 b Lect. Notes Comput. Sci. 2331, 342.
Frederiksen, J. T., Hededal, C. B., Haugbølle, T. and Nordlund, A. 2004 Astrophys. J. 608, L13.
Honda, M., Meyer-Ter-Vehn, J. and Pukhov, A. 2000 Phys. Rev. Lett. 85, 2128.
Kirk, J. G. and Skjæraasen, O. 2003 Astrophys. J. 591, 366.
Kong, X., Park, J., Ren, C., Sheng, Z. M. and Tonge, J. W. 2009 Phys. Plasmas 16, 032107.
Lyubarsky, Y. and Kirk, J. G. 2001 Astrophys. J. 547, 437.
Mason, R. J. 2006 Phys. Rev. Lett. 96, 035001.
Medvedev, M. V. and Loeb, A. 1999 Astrophys. J. 526, 697.
Mendonça, J. T., Norreys, P., Bingham, R. and Davies, J. R. 2005 Phys. Rev. Lett. 94, 245002.
Norreys, P. A., Beg, F. N., Sentoku, Y., Silva, L. O., Smith, R. A. and Trines, R. M. G. M. 2009 Phys. Plasmas 16, 041002.
Panaitescu, A. and Kumar, P. 2002 Astrophys. J. 571, 779.
Piran, T. 2004 Rev. Mod. Phys. 76, 1143.
Ren, C., Tzoufras, M., Tsung, F. S., Mori, W. B., Amorini, S., Fonseca, R. A., Silva, L. O., Adam, J. C. and Heron, A. 2004 Phys. Rev. Lett. 93, 185004.
Schlickeiser, R. 2002 Cosmic Ray Astrophysics. Astronomy and Astrophysics Library; Physics and Astronomy Online Library. Berlin: Springer.
Shukla, N., Shukla, P. and Stenflo, L. 2009 Phys. Rev. E 80, 027401.
Silva, L. O., Fonseca, R. A., Tonge, J. W., Dawson, J. M., Mori, W. B. and Medvedev, M. V. 2003 Astrophys. J. 596, L121.
Silva, L. O., Fonseca, R. A., Tonge, J. W., Mori, W. B. and Dawson, J. M. 2002 Phys. Plasmas 9, 2458.
Weibel, E. S. 1959 Phys. Rev. Lett. 2, 83.
Wiersma, J. and Achterberg, A. 2004 Astron. Astrophys. 428, 365.
Yang, T. B., Arons, J. and Langdo, A. B. 1994 Phys. Plasmas 1, 3059.
Yoon, P. H. and Davidson, R. C. 1987 Phys. Rev. Lett. A 35, 2718.
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Enhancement in the electromagnetic beam-plasma instability due to ion streaming

  • NITIN SHUKLA (a1), A. STOCKEM (a1), F. FIÚZA (a1) and L. O. SILVA (a1)


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