Abstract
A hybrid-kinetic model (Vlasov ions and drift-kinetic electrons) has been developed to study the equilibrium and stability properties of collisionless high-β plasmas. Since the ion orbits may be large in high-density pinch experiments, the ions are described by the exact (unexpanded) Vlasov equation. The electrons are assumed to be strongly magnetized with ω/Ωe ~ rLe/L1 = ε < 1, and the electron Vlasov equation is expanded to give a drift-kinetic equation for fe. Complex equilibrium configurations (toroidal geometry, arbitrary cross section, etc.) can be described within the context of the hybrid-kinetic model with considerable flexibility, a feature which is not true in a fully kinetic description. Stability calculations for linear theta-pinch geometry show that the hybrid-kinetic model correct to 0(ε) has sufficient physics content to describe implosion stability behavior on the fast time scale.
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