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
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 B 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 B 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)
p1 Present address: Physics Dept., C. of William and Mary, Williamsburg, Va., U.S.A.
* Loverhulmo Visiting Follow, 1969–70.