Interaction between the trapped electrons and magnetic curvature-driven drift wave
in the toroidal plasmas

A.K.Wang 1), H.Sanuki 2), J.Q.Dong 1), F.Zonca 3), K.Itoh 2)

1) Southwestern Institute of Physics, P.O.Box 432, Chengdu 610041, P.R.China
2) National Institute for Fusion Science, Toki, Gifu 509-5292, Japan
3) ENEA C.R.Frascati, C.P. 65, 00044 Frascati, Rome, Italy


In the previous work[1], we have presented a new kind of instability in the toroidal plasmas: magnetic curvature (MC)-driven one. The MC instability is characterized by possessing the finite growth rate when both ηi=Ln/LTi and ηe=Ln/LTe are zero but εn=Ln/R is appropriately large. In addition, no matter what magnitudes the ηi and ηe are, the instability can be stabilized as long as the magnetic curvature is zero. In this paper, we study the interaction between the trapped electrons[2] and MC drift wave. It is found that, after the trapped electrons are included, there exist the ion and electron heat pinch driven by the modes with k2 < ηe/2 and the particle pinch by the modes with k2 > ηe/2. Especially in the position of K//≈0, the significant particle pinch (if the mode with k2> ηe/2 is destabilized) and ion and electron heat pinch (if the mode with k2 < ηe/2 is destabilized) are induced by the electron-wave resonance. Compared with the MC instability without the trapped electron effects, however, the electron-wave resonance destabilizes the modes with the short wavelength (k2>> ηe/2, i.e., kρi>>1)[3]. In the regime, they contribute the significant positive value to χi and χe (but the significant negative value to De). Finally, a nonlinear equation, describing the wave-wave couplings with the trapped electron effects, is given, which is retained for the future numerical research. If the wave-wave couplings make the energy of the short wavelength modes cascade toward the long wavelength modes and balance the turbulent transport competition between the short (k2 < ηe/2) and long (k2 > ηe/2) wavelength modes, the present electron-wave resonance-induced pinches in the position of K //≈0 are possible candidates to explain the experimental facts that the transport barriers have been always observed at or near the rational surface.

References

[1]: A.K.Wang, H.Sanuki, J.Q.Dong, F.Zonca , K.Itoh, the 9th IAEA technical meeting on H mode physics and transport barriers (24-26, Sep.,2003, San Diego, USA), contributed paper.
[2]: P.W.Terry, W.Horton, Phys.Fluids, 26, (1983)106.
[3]: S.-I.Itoh, K.Itoh, Plasma Phys.Control.Fusion, 43, (2001)1055.


This work is supported by the JSPS-CAS Core-University Program on Plasma and Nuclear Fusion, by the National Science Foundation of China under Grant No.10135020.