Neoclassical Transport Theory for Plasma with High Energy Particles

高能粒子等离子体的新古典输运理论

基本信息

批准号：
07680544
负责人：
SHIOYA Shigematsu
金额：
$ 1.41万
依托单位：
Nihon University
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
1995
资助国家：
日本
起止时间：
1995 至 1997
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-07680544/
关键词：
neoclassical transport high energy particle anisotropic temperature radial potential banana regime plateau regime tokamak plasma 径歩行電場ブートストラップ電流

项目摘要

The conventional neoclassical transport theory can not be applied to a non-Maxwellian plasma in which the lowest-order distribution function in small Larmor radius expansion is deviated from Maxwellian. This research program aims to investigate the neoclassical transport theory for this non-Maxwellian plasma. The following problems have been mainly studied :1.The bootstrap current due to fast ions produced by NBI is explicitly calculated in a large aspectratio tokamak. This calculation showed that the bootstrap current is quite small for the parallel injection of neutral beams although it rapidly increases as the injection angle approaches to perpendicular. This bootstrap current is also shown to strongly depend on the values of the inverse aspect-ratio and the ratio of the critical velocity to the birth velocity.2.The neoclassical transport coefficients for the fusion-produced alpha particles are obtained analytically by using a variational method and a Pade approximation. All the analytic expressions for these transport coefficients are expressed in elementary functions, and thus these are easily incorporated into a transport code. In addition, the fluid formalism similar to that of bulk particles is shown to be possible for the neoclassical transport theory of alpha particles.3.The neoclassical transport theory in a presence of the temperature anisotropy is developed in an axisymmetric magnetic field. Using a model collision operator introduced in this study, the transport coefficients for the cross-filed fluxes and the bootstrap current are explicitly calculated. The effects of the temperature anisotropy and radial electric field on these transport coefficients are studied in the banana, plateau and banana-plateau regimes.

传统的新古典输运理论不能应用于小拉莫尔半径展开的最低阶分布函数偏离麦克斯韦分布的非麦克斯韦等离子体。该研究计划旨在研究这种非麦克斯韦等离子体的新古典输运理论。主要研究了以下问题： 1.在大长宽比托卡马克中明确计算了NBI产生的快离子产生的自举电流。该计算表明，对于中性束的平行注入，自举电流相当小，尽管随着注入角接近垂直，自举电流迅速增加。该自举电流也被证明强烈依赖于反纵横比的值以及临界速度与诞生速度的比率。 2.聚变产生的α粒子的新古典输运系数是通过使用变分法分析获得的方法和 Pade 近似。这些传输系数的所有解析表达式都用初等函数表示，因此很容易将它们合并到传输代码中。此外，α粒子的新古典输运理论也证明了类似于块体粒子的流体形式是可能的。3.在轴对称磁场中提出了存在温度各向异性的新古典输运理论。使用本研究中引入的模型碰撞算子，可以明确计算跨场通量和自举电流的传输系数。在香蕉、高原和香蕉-高原区域研究了温度各向异性和径向电场对这些输运系数的影响。