Kinetic-ballooning-mode theory in general geometry
Kinetic-ballooning-mode theory in general geometry
复制标题
DOI：
10.1088/0029-5515/20/11/011
复制
发表时间：
1980-11
期刊：
影响因子：
3.3
通讯作者：
W. Tang;J. Connor;R. Hastie
中科院分区：
文献类型：
--
作者：
W. Tang;J. Connor;R. Hastie
本文提出了一种系统的方法来研究动力学效应对磁流体气球模式稳定性的影响。气球模式的形式主义，这是特别有效的分析高模式数扰动的等离子体在环形系统中，是用来解决的Vlasov-Maxwell方程的模式与垂直波长的离子回旋半径的规模。每个通量表面上的局部稳定性是由三个耦合的积分微分方程，其中包括由于有限gyroradius，被困粒子，和波粒共振的影响的解决方案。然后在低频（ω < ωbi，ωti）和中频（ωbi，ωti < ω < ωbe，ωte）区域得到这些方程的更易处理的形式，其中ωbj和ωtj是每种物质的平均反弹和通过频率。在进一步简化近似后，这里的动力学结果可简化为类似极限下的MHD气球模式方程，ωs = cs/Lc，其中cs为声速，Lc为连接长度。
A systematic procedure for studying the influence of kinetic effects on the stability of MHD ballooning modes is presented. The ballooning mode formalism, which is particularly effective for analysing high-mode-number perturbations of a plasma in toroidal systems, is used to solve the Vlasov-Maxwell equations for modes with perpendicular wavelengths on the scale of the ion gyroradius. The local stability on each flux surface is determined by the solution of three coupled integro-differential equations which include effects due to finite gyroradius, trapped particles, and wave-particle resonances. More tractable forms of these equations are then obtained in the low (ω < ωbi, ωti) and intermediate- (ωbi, ωti < ω < ωbe, ωte) frequency regimes with ωbj and ωtj being the average bounce and transit frequencies of each species. After further simplifying approximations, the kinetic results here are shown to be reducible to the MHD-ballooning-mode equations in the analogous limits, ω ≶ ωs where ωs = cs/Lc, with cs being the acoustic speed and Lc the connection length.