Journal of Plasma Physics

Research Article

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

S. Peter Garya1* p1

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


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 xs2207B 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.

(Received April 20 1970)


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


* Loverhulmo Visiting Follow, 1969–70.