Euler - Poincaré formulation of hybrid plasma models
نویسنده
چکیده
Several different hybrid Vlasov-fluid systems are formulated as Euler-Poincaré systems and compared in the same framework. In particular, the discussion focuses on three major hybrid MHD models. These are the current-coupling scheme and two different variants of the pressurecoupling scheme. The Kelvin-Noether theorem is presented explicitly for each scheme, together with the Poincaré invariants for its hot particle trajectories. Extensions of Ertel’s relation for the potential vorticity and for its gradient are also found for each hybrid MHD scheme, as well as new expressions of cross helicity invariants.
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