中国物理B ›› 2003, Vol. 12 ›› Issue (11): 1251-1256.doi: 10.1088/1009-1963/12/11/312

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Fokker-planck study of tokamak electron cyclotron resonance heating

石秉仁, 龙永兴, 董家齐, 郦文忠, 焦一鸣, 王爱科   

  1. Southwestern Institute of Physics, PO Box 432, Chengdu 610041, China
  • 收稿日期:2003-05-13 修回日期:2003-05-26 出版日期:2003-11-16 发布日期:2005-03-16
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10135020).

Fokker-planck study of tokamak electron cyclotron resonance heating

Shi Bing-Ren (石秉仁), Long Yong-Xing (龙永兴), Dong Jia-Qi (董家齐), Li Wen-Zhong (郦文忠), Jiao Yi-Ming (焦一鸣), Wang Ai-Ke (王爱科)   

  1. Southwestern Institute of Physics, PO Box 432, Chengdu 610041, China
  • Received:2003-05-13 Revised:2003-05-26 Online:2003-11-16 Published:2005-03-16
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10135020).

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摘要： A Fokker－Planck study is carried out for tokamak electron cyclotron resonance heating by writing the quasi-linear diffusion operator into a form adaptive to the collision operator and considering the wave absorption characteristics of both the O-mode and the X-mode in different magnetic surfaces. Though the Fokker－Planck code is non-relativistic in nature, however, if the relativistic resonance condition for the nearly perpendicularly propagating waves is treated suitably, we can obtain correct results. The energy loss mechanism through anomalous transport is also modelled using a suitable loss term. In the heating phase, the electron distribution deviates from the Maxwellian distribution substantially, which leads to non-linear absorption characteristics. The wave damping rate is non-linear and changes with time. The electron pressure is usually anisotropic under different conditions: p_{e⊥}/p_{e‖}>2 for different D_0 and τ_e.

Abstract: A Fokker－Planck study is carried out for tokamak electron cyclotron resonance heating by writing the quasi-linear diffusion operator into a form adaptive to the collision operator and considering the wave absorption characteristics of both the O-mode and the X-mode in different magnetic surfaces. Though the Fokker－Planck code is non-relativistic in nature, however, if the relativistic resonance condition for the nearly perpendicularly propagating waves is treated suitably, we can obtain correct results. The energy loss mechanism through anomalous transport is also modelled using a suitable loss term. In the heating phase, the electron distribution deviates from the Maxwellian distribution substantially, which leads to non-linear absorption characteristics. The wave damping rate is non-linear and changes with time. The electron pressure is usually anisotropic under different conditions: pe⊥/pe‖>2 for different D0 and $\tau_e$.

Key words: Fokker－Planck equation, electron cyclotron resonance heating, anomalous heat loss

中图分类号:  (Fokker-Planck and Vlasov equation)

  • 52.65.Ff
52.55.Fa (Tokamaks, spherical tokamaks) 52.50.Sw (Plasma heating by microwaves; ECR, LH, collisional heating) 52.35.Qz (Microinstabilities (ion-acoustic, two-stream, loss-cone, beam-plasma, drift, ion- or electron-cyclotron, etc.)) 52.25.Xz (Magnetized plasmas)