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Longitudinal waves in a perpendicular collisionless plasma shock: II. Vlasov ions

  • S. Peter Gary (a1)
  • DOI:
  • Published online: 01 March 2009

This paper presents an analysis of the linear dispersion relation for electrostatic waves in a Vlasov plasma of unmagnetized, Maxwellian ions and magnetized, Maxwellian electrons. The electrons undergo E × B and ∇B drifts, and the electron β is small. For propagation in the perpendicular direction, maximum growth rates can be substantially larger than those of the zero magnetic field ion acoustic instability. For propagation outside a few degrees from the perpendicular the dispersion characteristics are essentially those of the ion acoustic instability.

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C. C. Daughney , L. S. Holmes & J. W. M. Paul 1970 Phys. Rev. Lett, 25, 497.

S. P. Gary & J. J. Sanderson 1970 J. Plasma Phys. 4, 739.

J. W. M. Paul , C. C. Daughney & L. S. Holmes 1969 Nature, Lond.223, 822.

G. Skadron & J. Weinstock 1969 J. Geophys. Res. 74, 5113.

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Journal of Plasma Physics
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