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Kinetic Alfvén waves in a deuterium-tritium fusion plasma with slowing-down distributed α-particles
Affiliation:1.Jiangxi Province Key Laboratory of Fusion and Information Control, Department of Physics, Nanchang University, Nanchang 330031, China;2.School of Materials Science and Engineering, Nanchang University, Nanchang 330031, China;3.NCU-ASIPP Magnetic Confinement Fusion Joint Laboratory, Institute of Fusion Energy and Plasma Application, Nanchang University, Nanchang 330031, China
Abstract:The dispersion relation and damping rate of kinetic Alfvén waves (KAWs) in a deuterium-tritium fusion plasma with slowing-down distributed $\alpha$-particles are investigated using the kinetic theory. The variations of wave frequency and damping rate with respect to the $\alpha$ concentration (${n_{\alpha}/n_{\rm e}}$) and perpendicular wave number (${k_ \bot }$) are studied from a numerical way. The results show that the fluctuation of $\alpha$ concentration slightly affects the frequency and damping rate of KAWs at low ${n_{\alpha}/n_{\rm e}}$. In addition, the frequency and the damping rate increase as the ${k_ \bot}$ and the background temperature ${T_{\rm e}}$ increase. For comparison, the calculations are performed also in the case of $\alpha$-particles following an equivalent Maxwellian distribution. For a given ${k_ \bot }$, the value of the frequency obtained in the slowing-down distribution case is smaller than that obtained in the Maxwellian distribution case. Conversely, the value of the damping rate obtained in the slowing-down distribution case is slightly larger than that obtained in the Maxwellian distribution case.
Keywords:kinetic Alfvén wave  dispersion relation  deuterium-tritium fusion plasma  
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