托卡马克等离子体环向转动对测地声模的影响

采用回旋动理学方程推导得到了环向转动托卡马克等离子体中测地声模的色散关系，分析了环向转动对测地声模、低频模和声波分支的频率以及无碰撞阻尼率的影响。结果表明，测地声模的频率会随着环向转动马赫数而逐渐增大，而其无碰撞阻尼率则会随着环向转动马赫数而迅速减小。此外，低频模和声波分支的频率以及无碰撞阻尼率都会随着环向转动马赫数而逐渐减小，其中环向转动对声波分支的频率以及无碰撞阻尼率的影响非常小，基本上可以忽略。

Effects of toroidal rotation on geodesic acoustic mode on tokamak plasmas

With the dispersion relation derived from the gyrokinetic equation with the plasma equilibrium toroidal rotation, the frequencies and damping rates of the geodesic acoustic modes, low frequency modes and sound wave branch are investigated, respectively. The results show that the frequency of the geodesic acoustic mode could increase with the toroidal rotation Mach number, while the collisionless damping rate will decrease with the toroidal rotation Mach number rapidly. In addition, the frequencies and damping rates of the low frequency modes and sound wave branches will decrease with the toroidal rotation Mach number, and the influence of the toroidal rotation on the sound wave branches frequencies and damping rates are very small and can be neglected.