Abstract

A scaling law for high density and high current tokamaks is presented on the basis of the nonlocal theory of electrostatic current-driven drift instability in both collisionless and collisional regimes with the assumption of quasilinear saturation level. It is shown that the energy confinement time scales as \(\tau_{E}{\propto}nq(a)/\sqrt{T_{e}}\) ( n , T e and q ( a ) are the averaged density, electron temperature and the safety factor at the plasma edge.) in relatively lower density region and \(\tau_{E}{\propto}B/\sqrt{n}\) ( B is the toroidal magnetic field) in higher density region where a combined effect of the electron collisions and of a plasma current works. Trapped particle effects are assumed to be negligible and no magnetic fluctuation is considered. A test experiment of the scaling law on the J.I.I.P.T-II device where both tokamak operation and the operation with superposition of helical fields are possible is proposed.

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