Abstract
The self-consistent interaction of high-frequency antenna-generated field with low-frequency plasma motion is derived for multifluid dynamics and magnetohydrodynamics. Field hamiltonians and Poisson brackets are obtained, for the low-frequency evolution of plasma, low-frequency field, and high-frequency amplitude. Casimir functionals are combined with the hamiltonians to form Lyapunov functionals, yielding stability criteria. Application to ponderomotive stabilization of unstable equilibria is discussed.
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