Model Analysis of Edge Relaxation Phenomena in Tokamak Plasmas

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From the view point of the oscillatory characteristics, the heat transport in the plasma edge region is investigated based on a transition transport model with hysteresis nature. A hysteresis type flux-force relation is incorporated into the model by introducing a transition model of the heat diffusivity. For a given influx from the upstream side, the one dimensional heat transport equation is solved numerically. The time evolution of the heat flux oscillation due to the hysteresis nature and the parameter dependences of its amplitude and frequency are examined. The non-monotonous relation between the frequency of the flux oscillation and the influx is obtained. The critical behavior of the transition between two transport mechanisms, i.e., the hysteresis type and the discontinuous one, is expressed as power law relations of them. The self-organized criticality like bahavior, i.e., power spectrum obeying power law, is found in a limiting case of the model.

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