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Dynamics of L to H bifurcation

B A Carreras, P H Diamond, Y -M Liangs, V Lebedev, D Newman1994年Plasma Physics and Controlled FusionIF 2.2出版社

A self-consistent model of the L to H transition is derived from coupled nonlinear envelope equations for the fluctuation level, radial electric field shear Er', and pressure gradient Del Pi. These equations exhibit a bifurcation between dual L-mode and H-mode fixed points. They show that the L to H transition has similar characteristics to a phase transition of the second kind for which the order parameter is Er'. The transition occurs when the turbulence drive is large enough to overcome the damping of the E*B flow. This leads to a power threshold condition for the transition Pcrit approximately=( mu nT)edgeaRLs.

日本語訳

LからHモード遷移の自己無撞着モデルは、変動レベル、径方向電場シアーEr'、圧力勾配∇Pのための非線形包絡方程式から導出される。これらの方程式は、二重Lモード固定点とHモード固定点の間の分岐を示す。それらは、LからHモード遷移が、秩序変数がEr'である第二種相転移と類似した特性を持つことを示している。遷移は、乱流駆動がE×B流の減衰を上回るのに十分な大きさになったときに発生する。これにより、遷移のための出力閾値条件P_crit≈(μnT)_edge a R L_sが導かれる。

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