The Hall instability in accelerated plasma channels

The Hall instability of a perfectly conducting plasma is studied. The two-dimensional magnetohydrodynamic equations for systems with large Larmor radius for a two-fluid model in which the Hall term is taken into account in Faraday's law, are investigated. By using a linearized theory it is shown, that the plasma may become unstable under small perturbations. This instability is driven by the plasma acceleration in channel. The most unstable perturbations propagate in the direction where the wave vector is orthogonal to the magnetic field