Electrostatic oscillations in cold electron-positron plasmas can be coupled
to a propagating electromagnetic mode if the background magnetic field is
inhomogeneous. Previous work considered this coupling in the quasi-linear
regime, successfully simulating the electromagnetic mode. Here we present a
stability analysis of the non-linear problem, perturbed from dynamical
equilibrium, in order to gain some insight into the modes present in the
system.Comment: Proceedings of the 363. WE-Heraeus Seminar on: Neutron Stars and
Pulsars (Posters and contributed talks) Physikzentrum Bad Honnef, Germany,
May.14-19, 2006, eds. W.Becker, H.H.Huang, MPE Report 291, pp.145-14