Abstract
Quasilinear development of Alfven loss-cone instability by thermonuclear α-particles in a magnetic mirror system is investigated. The Alfven wave is excited by anisotropy in the α-particle velocity distribution due to loss-cones, and α-particles are scattered by the excited waves. After considerations on the dispersion relation and resonance condition for Alfven and magneto-acoustic waves, the system of quasilinear equations for the Alfven loss-cone instability is solved analytically in the steady state and numerically to obtain a time-dependent solution. It is assumed that some fraction of the wave energy is reflected at the edge of the machine. The distribution function, density and loss fraction of α-particles and the wave energy density are obtained and analysed. The results show that the α-particle loss by the quasilinear diffusion can be very large compared to the one by collisional diffusion.
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