Table of Contents
ISRN Condensed Matter Physics
Volume 2011 (2011), Article ID 896321, 6 pages
http://dx.doi.org/10.5402/2011/896321
Research Article

Generalized Buneman Dispersion Relation in the Longitudinally Dominated Magnetic Field

1Faculty of Electrical Engineering, Czech Technical University in Prague, Technická 2, 166 27 Prague 6, Czech Republic
2Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Břehová 7, 115 19 Prague 1, Czech Republic

Received 5 September 2011; Accepted 13 October 2011

Academic Editor: S. Chromik

Copyright © 2011 Martin Bohata et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. T. J. M. Boyd and J. J. Sanderson, The Physics of Plasmas, Cambridge University Press, Cambridge, UK, 2003.
  2. A. Bret, “Weibel, two-stream, filamentation, oblique, bell, buneman...which one grows faster?” Astrophysical Journal, vol. 699, no. 2, pp. 990–1003, 2009. View at Publisher · View at Google Scholar · View at Scopus
  3. I. A. Bush, A. P. L. Robinson, R. Kingham, and J. Pasley, “Cavitation and shock wave formation in dense plasmas by relativistic electron beams,” Plasma Physics and Controlled Fusion, vol. 52, no. 12, Article ID 125007, 2010. View at Publisher · View at Google Scholar · View at Scopus
  4. O. Buneman, “Instability, turbulence, and conductivity in current-carrying plasma,” Physical Review Letters, vol. 1, no. 1, pp. 8–9, 1958. View at Publisher · View at Google Scholar · View at Scopus
  5. O. Buneman, “Dissipation of currents in ionized media,” Physical Review, vol. 115, no. 3, pp. 503–517, 1959. View at Publisher · View at Google Scholar · View at Scopus
  6. S. Iizuka, K. Saeki, N. Sato, and Y. Hatta, “Buneman instability in a bounded electron beam-plasma system,” Journal of the Physical Society of Japan, vol. 54, no. 1, pp. 146–151, 1985. View at Google Scholar · View at Scopus
  7. A. Hirose, “On amplitude saturation of Buneman instability and anomalous resistivity,” Plasma Physics, vol. 20, no. 5, article 008, pp. 481–485, 1978. View at Publisher · View at Google Scholar · View at Scopus
  8. R. A. Treumann, “Origin of resistivity in reconnection,” Earth, Planets and Space, vol. 53, no. 6, pp. 453–462, 2001. View at Google Scholar · View at Scopus
  9. Y. Ohira and F. Takahara, “Oblique ion two-stream instability in the foot region of a collisionless shock,” Astrophysical Journal, vol. 688, no. 1, pp. 320–326, 2008. View at Publisher · View at Google Scholar · View at Scopus
  10. M. Oppenheim, N. Otani, and C. Ronchi, “Saturation of the Farley-Buneman instability via nonlinear electron E×B drifts,” Journal of Geophysical Research, vol. 101, no. 17, pp. 273–286, 1996. View at Google Scholar
  11. S. Iizuka, K. Saeki, N. Sato, and Y. Hatta, “Buneman instability, pierce instability, and double-layer formation in a collisionless plasma,” Physical Review Letters, vol. 43, no. 19, pp. 1404–1407, 1979. View at Publisher · View at Google Scholar · View at Scopus
  12. E. S. Weibel, “Spontaneously growing transverse waves in a plasma due to an anisotropic velocity distribution,” Physical Review Letters, vol. 2, no. 3, pp. 83–84, 1959. View at Publisher · View at Google Scholar · View at Scopus
  13. L. Landau, “On the vibration of the electronic plasma,” Journal of Physics, vol. 10, no. 25, 1946. View at Google Scholar
  14. F. F. Chen, Introduction to Plasma Physics and Controlled Fusion, Springer, Berlin, Germany, 2004.
  15. T. H. Stix, Waves in Plasmas, Springer, Berlin, Germany, 2006.
  16. C. K. Birdsall and A. B. Langdon, Plasma Physics via Computer Simulation, McGraw-Hill Book, 1985.
  17. O. P. Hastings and E. Liang, “2.5 dimensional particle-in-cell simulations of relativistic plasma collisions,” http://arxiv.org/abs/0803.1201.
  18. J. Hubbard, D. Schleicher, and S. Sutherland, “How to find all roots of complex polynomials by Newton's method,” Inventiones Mathematicae, vol. 146, no. 1, pp. 1–33, 2001. View at Publisher · View at Google Scholar · View at Scopus