托卡马克等熵平衡条件下等离子体环向转动对带状流的影响

采用流体模型理论推导了等熵平衡条件下环向转动托卡马克等离子体中带状流的色散关系。从理论上分析了环向转动对测地声模、低频带状流和声波的频率、压力和密度扰动量的影响。结果表明，环向转动对低频带状流的频率没有影响，但会使测地声模的频率逐渐增大。此外，存在环向转动时，低频带状流会具有驻波形式的压力和密度扰动量，且测地声模和声波可以沿着极向传播。而且还发现，等熵平衡可以看成是等温平衡的一种特殊情况。

Effects of toroidal rotation on the zonal flows at isentropic equilibrium in tokamak plasmas

The dispersion relation of the zonal flows in the tokamak plasma with toroidal rotation is derived by using the fluid model under the condition of isentropic equilibrium. The effect of toroidal rotation on the frequencies, pressure and density perturbations of the geodesic acoustic modes, low frequency zonal flows and sound wave modes are theoretically investigated, respectively. The results show that the toroidal rotation has no effect on the frequency of low frequency zonal flows, but can increase the frequency of geodesic acoustic modes gradually. In addition, it is found that the low frequency zonal flows possess the pressure and density disturbance in the form of a standing wave, and the geodesic acoustic modes and sound wave modes can propagate in the poloidal direction in the presence of toroidal rotation. And it is also found that the isentropic equilibrium can be considered as a special case of isothermal equilibrium.