Astrophysics and Space Science

, Volume 28, Issue 1, pp 91–99 | Cite as

Dispersion and stability of waves in plasmas in the presence of a coriolis force

  • Frank Verheest
Article

Abstract

The dispersion law for the propagation of waves in cold magnetized plasmas is derived for arbitrary directions of the rotation axis with respect to the static magnetic field. The waves are shown to be stable, not only in the case of a cold plasma, but in any plasma case which yields hermitian mobility tensors. An interesting special case is when the rotation and magnetization axes are parallel, because then for suitable values of rotation and external magnetic field the two effects can cancel each other, though only for one plasma species at the time. The rotation thus decisively affects and shifts the number and width of the existing pass- and stop-bands in a magnetized plasma. The inclusion of thermal effects through a scalar barotropic pressure is not nearly as significant.

Keywords

Magnetic Field Thermal Effect External Magnetic Field Rotation Axis Static Magnetic Field 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Chandrasekhar, S.: 1953,Monthly Notices Roy. Astron. Soc. 113, 667–678.Google Scholar
  2. Chandrasekhar, S.: 1961,Hydrodynamics and Hydromagnetic Stability, Clarendon Press, Oxford, p. 589–598.Google Scholar
  3. Mattei, G.: 1968,Meccanica 3, 1–17.Google Scholar
  4. Stix, T. H.: 1962,The Theory of Plasma Waves, McGraw-Hill, New York, pp. 17–18.Google Scholar
  5. Tandon, J. N. and Bajaj, N. K.: 1966,Monthly Notices Roy. Astron Soc. 132, 285–304.Google Scholar
  6. Uberoi, C.: 1972,J. Math. Phys. Sci. 6, 303–314.Google Scholar
  7. Uberoi, C. and Das, G. C.: 1970,Plasma Phys. 12, 661–684.Google Scholar
  8. Uberoi, C. and Das, G. C.: 1972,Plasma Phys. 14, 201–202.Google Scholar
  9. Verheest, F.: 1971,Beitr. Plasmaphys. 11, 375–382.Google Scholar

Copyright information

© D. Reidel Publishing Company 1974

Authors and Affiliations

  • Frank Verheest
    • 1
  1. 1.UKAEA Research GroupCulham LaboratoryAbingdonEngland

Personalised recommendations