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Three wave coupling of drift wave modes in tokamak core plasmas Y. Hamada, T. Watari, A. Nishizawa, T. Ido, M. Kojima, K. Toi NIFS, Japan, April,’08 , at C.I.R.M. Marseille. 1 ) Drift mode observation in tokamak plasmas 2) Bicoherence analysis between zonal flow
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Three wave coupling of drift wave modes in tokamak core plasmasY. Hamada, T. Watari, A. Nishizawa, T. Ido, M. Kojima, K. Toi NIFS, Japan, April,’08 , at C.I.R.M. Marseille 1) Drift mode observation in tokamak plasmas 2) Bicoherence analysis between zonal flow and drift-wave turbulence 3) Cascading andinverse cascading in the drift-wave turbulence
Setup of Heavy Ion BeamSetup of Heavy Ion Beam Probe (HIBP) in JIPP-TIIU Bt=3 T Rp=92 cm ap=23 cm
Sample volumes and radial profiles Heated OH phase Te(0) ne(0)
Typical Waveform of Potential and Density in the Core (A4) and Outer Area (C2), and Correlations . Outer Area Core Y. Hamada et. al., PRL, 96, 115003(06)
Setup of FIR scattering D.L.Brower, RSI (‘88) 1559
Difference of turbulence spectrum in low and high-density OH plasmas D.L.Brower et al, RSI (‘88) 1559
Uni-modal behavior of TFTR ITG plasmasa R.D.Durst et. al., PRL71(‘93)3135
GAM’s radial coherence length At A4 (nearly parallet to manetic surface) At A2 (nearly perp. to magnetic surface) Y.Hamada et al., PPCF 48(06) S177.
Equations of bicoherence Bispectrum Biscoherence
bispectrum, and sum of squared bicoherence The sum of squared bicoherence scrambled Frequency(kHz) Frequency (kHz) Bispectrum Squared bicoherence
Bicoherence between zonal flow and drift-wave <ne(1)ne(-1)F(0)> ne(2)ne(-2)F(0)> <ne(3)ne(-3)F(0)> Squared bicoherence
Bicoherence in drift modes (cascading or inverse cascading) Sum of Squared bicoherence Frequency (kHz) Y. Hamada, to be submitted to PRL
Bicoherence in inverse cascading Frequency(kHz) Frequency (kHz)
Bicoherence in drift modes (cascading or inverse cascading) Sum of squared bicoherence Frequency (kHz)
ConclusionI • The low density OH plasma where Te is much higher than Ti, the core is unimodal in TEM turbulence. Strong HF zonal flow in GAM frequency range and very small low frequency zonal flow are observed. • Clear mode coupling (bicoherence) between density and zonal flow potential was observed. The case of l1 + l2 + l3≠ 0, 6 the bicoherence goes down to noise level.
ConclusionII • The bicoherence between drift wave modes, as was shown in this presentation, is large in spite of the limitation due to the large damping factor by finite sample volume effect and the Nyquist number limitation. At present I can not say sure whether it is cascading or inverse cascading coupling. If we are careful we think we can judge the obtained bicoherence is due to inverse cascading or due to cascading beyonds the Nyquist wavenumber limit.