Structure and stability of relativistic two-fluid electron-positron jets

Magnetized, rotating compact objects can launch jets with large Lorentz factors. Using a temperature-transformed magnetofluid coupling formalism, we derive the relativistic two-fluid equations in vortex form. For the case of homentropic pair plasmas, we find analytic self-organized solutions in cylindrical geometry. Various temperature, density and Lorentz factor profiles are considered. We compare these solutions to previous jet models, focusing on magnetic tower type jets with an external return current. Finally, we investigate the stability of the equilibria to MHD and two-fluid perturbations.