Astrophysics and Space Science

, Volume 24, Issue 1, pp 133–143 | Cite as

Two-stream instability in a collisionless plasma

  • S. N. Kathuria
  • G. L. Kalra


This paper discusses the development of two-stream instability in a collisionless plasma. The plasma is described by velocity moments of Vlasov equation where heat flow tensor has been neglected. A dispersion relation for arbitrary propagation is derived for a collisionless electron fluid. Special cases of propagation parallel and perpendicular to the field lines are discussed. Growth rate is computed for parameters representative of the shear layers of solar wind at one AU. It is found that the shear layers are likely to be overstable.


Growth Rate Solar Wind Heat Flow Dispersion Relation Shear Layer 
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  1. Bernstein, I. B. and Trehan, S. K.: 1960,Nucl. Fusion 1, 3.Google Scholar
  2. Burgers, J. M.: 1960,Rev. Mod. Phys. 32, 869.Google Scholar
  3. Burlaga, L. F.: 1971,Space Sci. Rev. 12, 600.Google Scholar
  4. Chew, G. F., Goldberger, M. L., and Low, F. E.: 1956,Proc. Soc. London 236A, 112.Google Scholar
  5. Formisano, V.: 1969,J. Geophys. Res. 74, 355.Google Scholar
  6. Jaggi, R. K.: 1963,Phys. Fluids 6, 949.Google Scholar
  7. Lee, K. F.: 1969,Phys. Rev. 181, 447 and 451.Google Scholar
  8. Macmohan, A.: 1965,Phys. Fluids 8, 1840.Google Scholar
  9. Montgomery, M. D., Bame, S. J., and Hundhausen, A. J.: 1968,J. Geophys. Res. 73, 4999.Google Scholar
  10. Stix, T. J.: 1962,The Theory of Plasma Waves, McGraw-Hill Book Co, N.Y.Google Scholar
  11. Stringer, T. E.: 1964,J. Nucl. Energy 6c, 267.Google Scholar
  12. Talwar, S. P. and Kalra, G. L.: 1966,Ann. Astrophys 29, 507.Google Scholar

Copyright information

© D. Reidel Publishing Company 1973

Authors and Affiliations

  • S. N. Kathuria
    • 1
  • G. L. Kalra
    • 2
  1. 1.Weather Radar UnitIndia Meteorological Dept.New DelhiIndia
  2. 2.Dept. of Physics and AstrophysicsUniv. of DelhiDelhiIndia

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