托卡马克中电子温度梯度不稳定性的数值研究

NUMERICAL STUDY OF THE ELECTRON TEMPERATURE GRADIENT INSTABILITY IN TOKAMAK

用本征模积分方程研究了环形等离子体中的电子温度梯度不稳定性,在接近不稳定性阈值的参数区域内对模和输运的特征进行了研究。文中引入了一个新的积分参数,将实平面的积分解析延拓到复平面,这样可以同时对增长模和阻尼模进行研究。对被积函数的奇点进行了处理,给出了临界梯度的拟合公式,与有关的实验进行了比较,计算结果接近实验测量值。

The electron temperature gradient instability is studied with the integral eigenvalue equation in toroidal plasmas. Behavior of the modes and transport in the parameter regimes close to the threshold of the instability is emphasized. The new integral transformation is introduced in this work. This allows the growing modes and the damping modes to be investigated. The singular points of the integrand are disposed. The fitting formulas for the critical gradient are given. Comparison with experiments has been made and the theoretical results are close to the experimental observations.