Skip to main content
Earth, Planets and Space
Download PDF

Volume 58 Supplement 9

Special Issue: International Sessions of Japan Earth and Planetary Science Joint Meeting 2005

Kinetic effects on the parametric decays of Alfvén waves in relativistic pair plasmas

Earth, Planets and Space volume 58, pages 1213–1217 (2006)Cite this article

Abstract

Parametric decays of a circularly polarized wave propagating along a constant magnetic field in an electronpositron plasma are studied. Fully relativistic effects on the particle velocity in the wave field are considered, as well as kinetic effects in the parallel direction, by means of a one-dimensional relativistic Vlasov equation. In this approximation, a dispersion relation is found for the parametric decays which describes the coupling between normal modes of the system, namely electromagnetic sideband modes and Langmuir waves.

References

  • Berezhiani, V. I. and S. M. Mahajan, Large amplitude localized structures in a relativistic electron-positron ion plasma, Phys. Rev. Lett., 73, 1110–1113, 1994.

    Article  Google Scholar 

  • Cheng, A. F. and M. A. Ruderman, Particle acceleration and radio emission above pulsar polar caps, Astrophys. J., 235, 576–586, 1980.

    Article  Google Scholar 

  • Curtis, M. F., The Theory of Neutron Stars Magnetospheres, University of Chicago Press, Chicago, 1991.

    Google Scholar 

  • Gangadhara, R. T., V. Krishan, and P. K. Shukla, The modulation of radiation in an electron-positron plasma, Mon. Not. R. Astron. Soc., 262, 151–163, 1993.

    Article  Google Scholar 

  • Gomberoff, L., V. Muñoz, and R. M. O. Galvão, Parametric decays of a linearly polarized electromagnetic wave in an electron-positron plasma, Phys. Rev. E, 56, 4581–4590, 1997.

    Article  Google Scholar 

  • Hirotani, K., S. Iguchi, M. Kimura, and K. Wajima, Pair plasma dominance in the parsec-scale relativistic jet of 3C 345, Astrophys. J., 545, 100–106, 2000.

    Article  Google Scholar 

  • Luo, Q. and D. B. Melrose, Coherent curvature emission and radio pulsars, Mon. Not. R. Astron. Soc., 258, 616–620, 1992.

    Article  Google Scholar 

  • Mahajan, S. M., Escaping radio emission from pulsars: Possible role of velocity shear, Astrophys. J. Lett., 479, L129–L132, 1997.

    Article  Google Scholar 

  • Matsukiyo, S. and T. Hada, Parametric instabilities of circularly polarized Alfvén waves in relativistic electron-positron plasma, Phys. Rev. E, 67, 046406, 2003.

    Article  Google Scholar 

  • Muñoz, V., Kinetic effects on the parametric decays of circularly polarized electromagnetic waves in a relativistic pair plasma, Phys. Plasmas, 11, 3497–3501, 2004a.

    Article  Google Scholar 

  • Muñoz, V., Response to “Comment on ‘Kinetic effects on the parametric decays of circularly polarized electromagnetic waves in a relativistic pair plasma‘” [itphys. plasmas 114882 (2004)], Phys. Plasmas, 11, 4883, 2004b.

    Article  Google Scholar 

  • Muñoz, V. and L. Gomberoff, Parametric decays of a circularly polarized electromagnetic wave in an electron-positron magnetized plasma, Phys. Rev. E, 57, 994–1004, 1998a.

    Article  Google Scholar 

  • Muñoz, V. and L. Gomberoff, Parametric decays of a circularly polarized electromagnetic wave in an electron-positron plasma, Phys. Plasmas, 5, 3171–3179, 1998b.

    Article  Google Scholar 

  • Muñoz, V. and L. Gomberoff, Kinetic effects on the parametric decays of circularly polarized electromagnetic waves in an electron-positron plasma, Phys. Plasmas, 9, 2534–2540, 2002.

    Article  Google Scholar 

  • Ruderman, M. A. and P. G. Sutherland, Theory of pulsars: Polar gaps, sparks, and coherent microwave radiation, Astrophys. J., 196, 51–72, 1975.

    Article  Google Scholar 

  • Shukla, P. K. and L. Stenflo, Stimulated scattering of radiation off quasimodes in an electron-positron plasma, Phys. Plasmas, 7, 2726–2730, 2000.

    Google Scholar 

  • Shukla, P. K., N. N. Rao, M. Y. Yu, and N. L. Tsintsadze, Relativistic nonlinear effects in plasmas, Phys. Rep., 138, 1–149, 1986.

    Article  Google Scholar 

  • Stenflo, L. and P. K. Shukla, Comment on “Kinetic effects on the parametric decays of circularly polarized electromagnetic waves in a relativistic pair plasma” [Phys. Plasmas 11, 3497 (2004)], Phys. Plasmas, 2004.

  • Tajima, T. and T. Taniuti, Nonlinear interaction of photons and phonons in electron-positron plasmas, Phys. Rev. A, 42, 3587–3602, 1990.

    Article  Google Scholar 

  • Tsytovich, V. and C. B. Wharton, unknown, Comments Plasma Phys. Controlled Fusion, 4, 91, 1978.

  • Wardle, J. F. C. and D. C. Homan, The nature of jets: Evidence from circular polarization observations, in Particles and Fields in Radio Galaxies, ASP Conference Proceedings Vol. 250, edited by R. A. Laing and K. M. Blundell, Astronomical Society of the Pacific, San Francisco, 2001. Astro-ph/0011515.

    Google Scholar 

  • Wardle, J. F. C., D. C. Homan, R. Ojha, and D. H. Roberts, Electronpositron jets associated with the quasar 3c279, Nature, 395, 457–461, 1998.

    Article  Google Scholar 

  • Zank, G. P. and R. G. Greaves, Linear and nonlinear modes in nonrelativistic electron-positron plasmas, Phys. Rev. E, 51, 6079–6090, 1995.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Earth System Science and Technology, Kyushu University, Japan

    V. Muñoz, T. Hada & S. Matsukiyo

  2. Departamento de Física, Facultad de Ciencias, Universidad de Chile, Chile

    V. Muñoz

Authors
  1. V. Muñoz
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. T. Hada
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. S. Matsukiyo
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Open Access  This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.

The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.

To view a copy of this licence, visit https://creativecommons.org/licenses/by/4.0/.

Reprints and permissions

About this article

Cite this article

Muñoz, V., Hada, T. & Matsukiyo, S. Kinetic effects on the parametric decays of Alfvén waves in relativistic pair plasmas. Earth Planet Sp 58, 1213–1217 (2006). https://doi.org/10.1186/BF03352012

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1186/BF03352012

Key words