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...

A hybrid‐kinetic model for high‐β plasmas

Editorial Note: The following article by J M. Greene discusses one view of “The Parker Challenge,” which asks whether magnetospheric plasma physics, for example, can best be understood in terms of magnetic fields and flows (the B,v paradigm), or in terms of electric fields and currents (the E,j paradigm). As with any such challenge, the resultant debate can be quite heated. Nevertheless, in my opinion, this type of debate will ultimately provide greater insight into the physics of space plasmas. This debate is not well suited for journals such as the Journal of Geophysical Research, since it is necessarily more anecdotal in nature, whereas Eos provides an appropriate forum. Motivated by J. M. Greene's article, I am therefore soliciting brief articles from members of the space physics and aeronomy community that demonstrate the usefulness of either paradigm. To this end, anyone who wishes to submit a brief contribution to this debate should send me an e-mail message to that effect. I will coordinate such submissions for publication together in a future issue of Eos.

https://agupubs.onlinelibrary.wiley.com/doi/pdf/10.1029/00EO00138

The Parker Challenge

Hybrid-kinetic stability properties of high-beta plasmas

Evaluation of the gyro-viscous stress

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Evaluation of the gyro-viscous stress