The effects of a radial electric field, which is ubiquitous in stellarators, are considered when a system of reduced-MHD equations is derived from a gyro-kinetic Vlasov–Maxwell system. The resulting equations for the MHD continuum have been implemented into the continuum code CONTI. For a tokamak case, the MHD continuum is calculated and compared with a gyro-kinetic continuum calculated using the EUTERPE code, where good agreement of the obtained continua could be shown. Finally, MHD continua including the radial electric field are calculated for Wendelstein 7-X. Interestingly, for these examples, most of the gaps in the continuous spectrum of Alfvén waves below 200 kHz disappear.

中文翻译：

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具有径向电场的MHD连续体

当从陀螺动力学Vlasov-Maxwell系统推导一个简化的MHD方程组时，会考虑到星形电场中普遍存在的径向电场的影响。MHD连续体的所得方程式已实现到连续体代码CONTI中。对于托卡马克的情况，计算MHD连续体，并将其与使用EUTERPE码计算的陀螺动力学连续体进行比较，可以显示获得的连续体的一致性。最后，为Wendelstein 7-X计算了包括径向电场的MHD连续性。有趣的是，对于这些示例，低于200 kHz的Alfvén波的连续频谱中的大多数间隙都消失了。