Abstract
The Alfvén waves of a cylindrical, sharp-boundary plasma, which models the plasma in a tandem-mirror central cell, have been analyzed for instabilities driven by the loss cone of the alpha-particle distribution function. Improved methods for treating the waves, the distribution function, and the instability have been developed and used. The many normal modes of the cylindrical plasma can be found reliably. The diffusion-front method for calculation of the distribution function allows accurate and rapid computation of instability growth rates and marginal-stability boundaries. Present tandem-mirror reactor designs have densities and temperatures that lead to instability. Consequences of the instability should be assessed by studying the quasilinear evolution of the alpha particles.
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