Journal of Plasma Physics

Research Article

Longitudinal waves in a perpendicular collisionless plasma shock: I. Cold ions

S. Peter Garya1* p1 and J. J. Sandersona2

a1 Department of Applied Mathematics, University College of North Wales, Bangor, Caornarvonshire, Wales

a2 Department of Applied Mathematics, University of St Andrews, St Andrews, Fife, Scotland

Abstract

This paper considers electrostatic waves in a Vlasov plasma of unmagnetized ions and magnetized, Maxwellian electrons. The linear dispersion relation is derived for waves in a perpendicular shock such that the most important sources of instability are the E × B and xs2207B electron drifts. For the case of cold ions, propagation perpendicular to the applied magnetic field, and the E × B drift alone, a numerical analysis of frequency vs. wave-number is presented. The effects of the xs2207B drift are also considered, and it is shown that the maximum growth rate can be larger than the maximum growth rate for the zero magnetic field ion acoustic instabifity under comparable conditions.

(Received October 29 1970)

(Revised March 18 1970)

Correspondence:

p1 Present address: Physics Dept., C. of William and Mary, Williamsburg, Va., U.S.A.

Footnotes

* Loverhulmo Visiting Follow, 1969–70.