Abstract
A three-dimensional guiding-center plasma model is derived from the Vlasov equation using a method by Frieman, Davidson, and Langdon. In two dimensions the reduction of the description to configuration space occurs only for homogeneous magnetic fields. Macroscopic equations are derived for a homogeneous magnetic field and the stability of nonneutral plasmas is investigated. Sheets consisting of magnetic field lines and charged positively show unstable behavior if k∥/k⊥<a/cs, where a is the E×B drift and cs is the ion sound velocity. k∥ and k⊥ are the wavenumbers parallel and perpendicular to the magnetic field. Sheets with electron charges are stable if the phase velocity of the disturbance along B is smaller than the electron thermal velocity.
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