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Resonant Weibel instability in counterstreaming plasmas with temperature anisotropies

  • M. LAZAR (a1) (a2), M. E. DIECKMANN (a2) (a3) and S. POEDTS (a1)

The Weibel instability, driven by a plasma temperature anisotropy, is non-resonant with plasma particles: it is purely growing in time, and does not oscillate. The effect of a counterstreaming plasma is examined. In a counterstreaming plasma with an excess of transverse temperature, the Weibel instability arises along the streaming direction. Here it is proved that for large wave-numbers the instability becomes resonant with a finite real (oscillation) frequency, ωr ≠ 0. When the plasma flows faster, with a bulk velocity larger than the parallel thermal velocity, the instability becomes dominantly resonant. This new feature of the Weibel instability can be relevant for astrophysical sources of non-thermal emissions and the stability of counterflowing plasma experiments.

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[1]Weibel E. S. 1959 Phys. Rev. Lett. 2, 83.
[2]Fried B. D. 1959 Phys. Fluids 2, 337.
[3]Kalman G., Montes C. and Quemada D. 1968 Phys. Fluids 11, 1797.
[4]Davidson R. C., Hammer D. A., Haber I. and Wagner C. E. 1972 Phys. Fluids 15, 317.
[5]Califano F., Pegoraro F., Bulanov S. V. and Mangeney A. 1998 Phys. Rev. E 57, 7048.
[6]Silva L. O., Fonseca R. A., Tonge J. W., Mori W. B. and Dawson J. M. 2002 Phys. Plasmas 9, 2458.
[7]Bret A. 2006 Phys. Lett. A 359, 52.
[8]Rowlands G., Dieckmann M. E. and Shukla P. K. 2007 New J. Phys. 9, 247.
[9]Medvedev M. and Loeb A. 1999 Astrophys. J. 526, 697.
[10]Schlickeiser R. and Shukla P. K. 2003 Astrophys. J. 599, L57.
[11]Okabe N. and Hattori M. 2003 Astrophys. J. 599, 964.
[12]Shukla P. K. 2003 Phys. Lett. A 313, 274; 2005 341, 184.
[13]Nishikawa K.-I., Hardee P., Richardson G., Preece R., Sol H. and Fishman G. J. 2005 Astrophys. J. 622, 927.
[14]Lazar M., Schlickeiser R., Wielebinski R. and Poedts S. 2009 Cosmological effects of Weibel-type instabilities. Astrophys. J., 693, 1133.
[15]Bret A. and Deutsch C. 2006 Phys. Plasmas 13, 022110.
[16]Califano F., Cecchi T. and Chiuderi C. 2002 Phys. Plasmas 9, 451.
[17]Bret A., Firpo M.-C. and Deutsch C. 2004 Phys. Rev. E 70, 046401.
[18]Lazar M., Schlickeiser R. and Shukla P. K. 2006 Phys. Plasmas 13, 102107; Stockem A. and Lazar M. 2008 Phys. Plasmas 15, 014501.
[19]Lazar M. 2008 Phys. Lett. A 372, 2446.
[20]Lazar M., Smolyakov A., Schlickeiser R. and Shukla P. K. 2009 J. Plasma Phys. 75, 19.
[21]Fried B. D. and Conte S. D. 1961 The Plasma Dispersion Function. New York: Academic Press.
[22]Tzoufras M., Ren C., Tsung F. S., Tonge J. W., Mori W. B., Fiore M., Fonseca R. A. and Silva L. O. 2006 Phys. Rev. Lett 96, 105002.
[23]Fiore M., Silva L. O., Ren C., Tzoufras M. A. and Mori W. B. 2006 Mon. Not. R. Astron. Soc. 372, 1851.
[24]Ryde F. 2004 Astrophys. J. 614, 827.
[25]Manheimer W. 1971 Phys. Fluids 14, 579.
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Journal of Plasma Physics
  • ISSN: 0022-3778
  • EISSN: 1469-7807
  • URL: /core/journals/journal-of-plasma-physics
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