Hostname: page-component-77c89778f8-sh8wx Total loading time: 0 Render date: 2024-07-18T07:47:39.876Z Has data issue: false hasContentIssue false
  • English
  • Français

On the effect of baryon loading in magnetized counterstreaming plasmas. I. Analytical investigation

Published online by Cambridge University Press:  01 February 2008

R. C. TAUTZ  and
J.-I. SAKAI
R. C. TAUTZ
Affiliation:
Institut für Theoretische Physik, Lehrstuhl IV: Weltraum-und Astrophysik, Ruhr-Universität Bochum, D-44780 Bochum, Germany
J.-I. SAKAI
Affiliation:
Laboratory for Plasma Astrophysics, Faculty of Engineering, Toyama University, 3190, Gofuku, Toyama 930-8555, Japan
Get access Rights & Permissions [Opens in a new window]

Abstract

Assuming a non-relativistic three species electron–positron–ion plasma, the counterstreaming instability is investigated for waves propagating parallel and perpendicular to a homogeneous background magnetic field. From the exact linear dispersion relations, it is shown analytically how the growth rates change with increasing baryon loading, revealing new characteristics that cannot be found either for an unmagnetized plasma involving three particle species or for a plasma with only two particle species.

Type
Papers
Information
Journal of Plasma Physics , Volume 74 , Issue 1 , February 2008 , pp. 79 - 90
Copyright
Copyright © Cambridge University Press 2007

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

Bauer, T. M., Treumann, R. A. and Baumjohann, W. 2001 Ann. Geophys. 19, 1065.CrossRefGoogle Scholar
Bogdan, T. J. and Lerche, I. 1985 Astrophys. J. 296, 719.CrossRefGoogle Scholar
Bornatici, M. and Lee, K. F. 1970 Phys. Fluids 13, 3007.CrossRefGoogle Scholar
Bret, A., Dieckmann, M. E. and Deutsch, C. 2006 Phys. Plasmas 13, 082109.CrossRefGoogle Scholar
Bret, A., Firpo, M. C. and Deutsch, C. 2005 Phys. Rev. Lett. 94, 115002.CrossRefGoogle Scholar
Canu, P., Cornilleau-Wehrlin, N., deVilledary, C. Villedary, C., Kellogg, P. J., Harvey, C. C. and MacDowall, R. J. 1993 Planet. Space Sci. 41, 811.Google Scholar
Crooker, N. U., Forsyth, R., Rees, A., Gosling, J. T. and Kahler, S. W. 2004 J. Geophys. Res. 109, A06110.Google Scholar
Davidson, R. C. 1983 Handbook of Plasma Physics, Vol. 1 (ed. Rosenbluth, M. N. and Sagdeev, R. Z.). Amsterdam: North-Holland, p. 519.Google Scholar
Dieckmann, M. E., Shukla, P. K. and Drury, L. O. C. 2006 Mon. Not. R. Astron. Soc. 367, 1072.CrossRefGoogle Scholar
Fiore, M., Silva, L. O., Ren, C., Tzoufras, M. A. and Mori, W. B. 2006 Mon. Not. R. Astron. Soc. 372, 1851.CrossRefGoogle Scholar
Fried, B. D. 1959 Phys. Fluids 2, 337.Google Scholar
Fried, B. D. and Conte, S. D. 1961 The Plasma Dispersion Function. New York: Academic Press.Google Scholar
Gradshteyn, I. S. and Ryzhik, I. N. 2000 Table of Integrals, Series, and Products. New York: Academic Press.Google Scholar
Haruki, T. and Sakai, J.-I. 2003 Phys. Plasmas 10, 392.Google Scholar
Iwamoto, N. 1993 Phys. Rev. E 47, 604.Google Scholar
Kato, T. N. 2005 Phys. Plasmas 12, 080705Google Scholar
Krupp, N., Woch, J., Lagg, A., Livi, S., Mitchell, D. G., Krimigis, S. M., Dougherty, M. K., Hanlon, P. G., Armstrong, T. P. and Espinosa, S. A. 2004 J. Geophys. Res. 109, A09S10.Google Scholar
Lapuerta, V. and Ahedo, E. 2002 Phys. Plasmas 9, 1513.Google Scholar
Lazar, M. and Schlickeiser, R. 2006 Phys. Plasmas 13, 012110.Google Scholar
Lee, K. F. 1969 Phys. Rev. 181, 453.CrossRefGoogle Scholar
Lee, K. F. and Armstrong, J. C. 1971 Phys. Rev. A 4, 2087.Google Scholar
Martín, P. and González, M. A. 1979 Phys. Fluids 22, 1413.CrossRefGoogle Scholar
Mészáros, P. 2002 Ann. Rev. Astron. Astrophys. 40, 137.CrossRefGoogle Scholar
Miller, J. A. and Viñnas, A. F. 1993 Astrophys. J. 412, 386.CrossRefGoogle Scholar
Piran, T. 2000 Phys. Rep. 333, 529.CrossRefGoogle Scholar
Piran, T. 2004 Rev. Mod. Phys. 76, 1143.Google Scholar
Saito, S. and Sakai, J.-I. 2004 Astrophys. J. 602, L41.CrossRefGoogle Scholar
Sakai, J.-I., Schlickeiser, R. and Shukla, P. K. 2004 Phys. Lett. A 330, 384.CrossRefGoogle Scholar
Schaefer-Rolffs, U., Lerche, I. and Schlickeiser, R. 2006 Phys. Plasmas 13, 012107.CrossRefGoogle Scholar
Schlickeiser, R. 2003 Cosmic Ray Astrophysics. Berlin: Springer.Google Scholar
Schlickeiser, R. 2005 Plasma Phys. Control. Fusion 47, A205.CrossRefGoogle Scholar
Schlickeiser, R. and Shukla, P. K. 2003 Astrophys. J. 599, L57.CrossRefGoogle Scholar
Silva, L. O., Fonseca, R. A., Tonge, J. W., Dawson, J. M., Mori, W. B. and Medvedev, M. V. 2003 Astrophys. J. 596, L121.Google Scholar
Spero, D. M. and Sen, A. K. 1968 Phys. Fluids 11, 1524.CrossRefGoogle Scholar
Stockem, A., Lerche, I. and Schlickeiser, R. 2006 Astrophys. J. 651, 584.CrossRefGoogle Scholar
Szego, K. et al. 2003 J. Geophys. Res. 108, 1287.Google Scholar
Tautz, R. C. and Lerche, I. 2006 Astrophys. J. 653, 447.CrossRefGoogle Scholar
Tautz, R. C., Lerche, I. and Schlickeiser, R. 2007 Non-resonant kinetic instabilities of a relativistic plasma in a uniform magnetic field: longitudinal and transverse mode coupling effects. J. Math. Phys. 48, 013302.CrossRefGoogle Scholar
Tautz, R. C. and Sakai, J.-I. 2006 Phys. Plasmas 14, 012104.CrossRefGoogle Scholar
Tautz, R. C., Sakai, J.-I. and Lerche, I. 2006 Evidence for monochromatic unstable Weibel modes in asymmetric counterstreaming pair plasmas. Control. Plasma Phys. (submitted).CrossRefGoogle Scholar
Tautz, R. C. and Schlickeiser, R. 2005a Phys. Plasmas 12, 072101.CrossRefGoogle Scholar
Tautz, R. C. and Schlickeiser, R. 2005b Phys. Plasmas 12, 122901.CrossRefGoogle Scholar
Tautz, R. C. and Schlickeiser, R. 2006a Phys. Plasmas 13, 062901.CrossRefGoogle Scholar
Tautz, R. C. and Schlickeiser, R. 2006b Phys. Plasmas 13, 109902 (erratum to Tautz and Schlickeiser 2006a).CrossRefGoogle Scholar
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.Google Scholar
Weibel, E. S. 1959 Phys. Rev. Lett. 2, 83.Google Scholar
Wiersma, J. and Achterberg, A. 2004 Astron. Astrophys. 428, 365.CrossRefGoogle Scholar
Yoon, P. H. and Davidson, R. C. 1987 Phys. Rev. A 35, 2718.CrossRefGoogle Scholar