A hybrid‐kinetic model for high‐β plasmas

A hybrid‐kinetic model (Vlasov ions and drift‐kinetic electrons) is developed to describe the equilibrium and stability properties of collisionless high‐beta plasmas in arbitrary magnetic field configurations. No ordering of ion properties (such as ω/Ωi and rLi/L⊥) is assumed, so the ions are described by the exact (unexpanded) Vlasov equation. The electrons are assumed to be strongly magnetized with ω/Ωe ∼rLe/L⊥=e≪1, and the electron Vlasov equation is expanded in e to give a drift‐kinetic equation for fe. Examples of linear screw‐pinch equilibria are constructed to demonstrate the ease with which equilibrium solutions are found within this formalism. Also, it is shown that the hybrid‐kinetic model correct to O (e) includes physical effects which are important during the implosion and immediate post‐implosion phases of high‐density pinch experiments, where stability behavior is characterized by the fast time scale ω−1LH= (ΩeΩi)−1/2. In particular, a local dispersion relation is derived for the modified‐t...

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