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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.

传统的新经典输运理论不能适用于小拉莫半径展开式中低阶分布函数偏离麦克斯韦分布的非麦克斯韦等离子体。本研究项目旨在研究这种非麦克斯韦等离子体的新经典输运理论。主要研究了以下几个问题：1.在大尺度托卡马克中，显式计算了NBI产生的快离子的自举电流。计算结果表明，对于平行注入的中性束，自举电流很小，但随着注入角度趋于垂直，自举电流迅速增大。这种自举电流还强烈地依赖于反长径比和临界速度与出生速度之比的值。2.用变分方法和Pade近似解析地得到了聚变产生的α粒子的新经典输运系数。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，对于α粒子的新经典输运理论，类似于块体粒子的流体形式也是可能的。3.在轴对称磁场中发展了存在温度各向异性的新经典输运理论。利用本研究中引入的模型碰撞算符，显式计算了交叉场通量和自举电流的输运系数。研究了香蕉、高原和香蕉高原地区温度各向异性和径向电场对这些输运系数的影响。