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Chin. Phys. B, 2022, Vol. 31(3): 035201    DOI: 10.1088/1674-1056/ac2d18

Kinetic Alfvén waves in a deuterium-tritium fusion plasma with slowing-down distributed α-particles

Fei-Fei Lu(路飞飞)1,2,3 and San-Qiu Liu(刘三秋)1,2,3,†
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  
Received:  19 May 2021      Revised:  20 August 2021      Accepted manuscript online:  06 October 2021
PACS:  52.35.Bj (Magnetohydrodynamic waves (e.g., Alfven waves))  
  52.65.Ff (Fokker-Planck and Vlasov equation)  
  25.70.Jj (Fusion and fusion-fission reactions)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11863004 and 11763006), the Jiangxi Provincial Key Laboratory of Fusion and Information Control, China (Grant No. 20171BCD40005), and the Project of Scientific and Technological Innovation Base of Jiangxi Province, China (Grant No. 20203CCD46008).
Corresponding Authors:  San-Qiu Liu     E-mail:

Cite this article: 

Fei-Fei Lu(路飞飞) and San-Qiu Liu(刘三秋) Kinetic Alfvén waves in a deuterium-tritium fusion plasma with slowing-down distributed α-particles 2022 Chin. Phys. B 31 035201

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