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(PD/P-04) Statistical Theory of L-H Transition and its Implication to Threshold Data Base

S.-I. Itoh1), K. Itoh2), S. Toda2)
1) Research Institute for Applied Mechanics, Kyushu University, Kasuga, Japan
2) National Institute for Fusion Science, Toki, Japan

Abstract.  A statistical model for the bifurcation of the radial electric field Er is analyzed in view of describing L-H transitions of toroidal plasmas. Noise in micro fluctuations is shown to lead to random changes of Er, if a deterministic approach allows for more than one solution. The probability density function for and the ensemble average of Er are obtained. The L-to-H and the H-to-L transition probabilities are calculated, and the effective phase limit is derived. Due to the suppression of turbulence by shear in Er, the limit deviates from Maxwell's rule.

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IAEA 2003