Hostname: page-component-cd9895bd7-lnqnp Total loading time: 0 Render date: 2024-12-26T03:31:01.472Z Has data issue: false hasContentIssue false

Resonant Weibel instability in counterstreaming plasmas with temperature anisotropies

Published online by Cambridge University Press:  19 May 2009

M. LAZAR
Affiliation:
Center for Plasma Astrophysics, Celestijnenlaan 200B, 3001 Leuven, Belgium (mlazar@tp4.rub.de) Institut für Theoretische Physik, Lehrstuhl IV: Weltraum- und Astrophysik, Ruhr-Universität Bochum, D-44780 Bochum, Germany
M. E. DIECKMANN
Affiliation:
Institut für Theoretische Physik, Lehrstuhl IV: Weltraum- und Astrophysik, Ruhr-Universität Bochum, D-44780 Bochum, Germany Department of Science and Technology (ITN), Linköping University, 60174 Norrköping, Sweden
S. POEDTS
Affiliation:
Center for Plasma Astrophysics, Celestijnenlaan 200B, 3001 Leuven, Belgium (mlazar@tp4.rub.de)

Abstract

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.

Type
Papers
Copyright
Copyright © Cambridge University Press 2009

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

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