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Theoretical study on production of super high beta plasmas by rotating magnetic field

旋转磁场产生超高β等离子体的理论研究

基本信息

批准号：
12680496
负责人：
OHNISHI Masami
金额：
$ 1.86万
依托单位：
Kansai University
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2000
资助国家：
日本
起止时间：
2000 至 2002
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-12680496/
关键词：
rotating magnetic field sustaining a configuration field-reversed configuration current drive partial full penetration of RMF stability of equilibrium operation rigid rotor model criterion of full penetration of RMF 回転磁場による電流駆動回転磁場の浸透

项目摘要

The stability of the rotation of the ion and electron fluids is studied on the balance of the forces exerted on the electrons by the resistive friction and the Rotating Magnetic Field (RMF) applied for the sake of maintaining Field Reversed Configuration (FRC) in steady state. The simple analytical model such as infinite-long plasma, rigidly rotating ions and electrons and uniform plasma density are used. The linear stability analysis of the equilibrium rotation is carried out in the reduced zero-dimensional model which includes the effects of ion rotation, radial plasma flow and separatrix radius change due to the flux conservation within the flux conserver. The analytical expression which gives the stability criterion is derived from the eigenvalues of the linearized equations. Based upon the stability criterion, an interpretation of the present experimental results and comments of the future experiments are given as for the penetration of the RMF into the FRC.The transient behaviors … More of current drive with an RMF in an FRC are studied by numerically solving the rate equations for the ion and electron rotations with the non-equilibrium initial values. The dynamic responses are investigated by introducing the perturbation into the equilibrium ion and electron rotations in order to examine the stability around the equilibrium of the shallow penetration of an RMF. The electron rotation on the stable equilibrium of the shallow penetration remains to be near the initial equilibrium so long as the perturbation is small. On the other hand, the electron rotation in the unstable equilibrium increases to be synchronous with an RMF and to result in the full penetration for the positive perturbation and decreases further behind an RMF for the negative one. The results are consistent with the linear stability analysis.The criterion for the penetration of an RMF in an FRC is derived theoretically on a physical base that the driving force of an RMF acting directly on an electron fluid must exceed the ion drag force throughout the process for the electron fluid to reach the synchronous rotation with the RMF, resulting in the full penetration of RMF in an FRC. The criterion explains the numerical simulation results and the experimental observations better than those previously used. The criterion is also useful for the guide of the experiments of making a hot FRC in a steady state by applying a rotating magnetic field. Less

研究了离子流体和电子流体的旋转稳定性，通过电阻摩擦力和旋转磁场（RMF）对电子施加的力的平衡来维持场反转组态（FRC）的稳定性。采用无限长等离子体、刚性旋转离子和电子以及均匀等离子体密度等简单解析模型。平衡旋转的线性稳定性分析进行了简化的零维模型，其中包括离子旋转的影响，径向等离子体流和分界线半径的变化，由于通量守恒的通量保持器。从线性化方程的特征值导出了稳定性判据的解析表达式。根据稳定性判据，对目前的实验结果进行了解释，并对今后的实验提出了建议。 ...更多信息通过数值求解具有非平衡初始值的离子和电子转动速率方程，研究了FRC中RMF电流驱动的特性。动态响应的影响，通过引入扰动到平衡离子和电子的旋转，以检查周围的稳定性的平衡的浅穿透的RMF。只要扰动很小，浅穿透稳定平衡上的电子转动仍保持在初始平衡附近。另一方面，在不稳定平衡的电子旋转增加是同步的RMF，并导致完全穿透的正微扰和负的RMF后进一步减少。结果与线性稳定性分析一致，并从理论上推导了RMF在FRC中穿透的判据，即RMF直接作用于电子流体的驱动力必须在整个过程中超过离子拖曳力，电子流体才能与RMF同步旋转，从而使RMF完全穿透FRC。该准则比以前使用的准则更好地解释了数值模拟结果和实验观察结果。该判据对旋转磁场下制作稳态热FRC的实验也有一定的指导意义。少