Neoclassical Transport Theory for Plasma with High Energy Particles

对于非麦克斯韦等离子体，常规的新经典输运理论不能适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函数的情况。本研究计划旨在探讨非麦克斯韦等离子体的新古典输运理论。主要研究了以下几个问题：1.在大口径托卡马克中，计算了NBI产生的快离子自举电流。计算表明，中性束平行注入时，自举电流很小，但随着注入角接近垂直，自举电流迅速增大。这种自举电流也强烈依赖于反纵横比和临界速度与出生速度之比的值。2.利用变分法和Pade近似，解析地得到了聚变产生α粒子的新经典输运系数。所有这些传输系数的解析表达式表示在初等函数，因此这些很容易被纳入一个传输代码。此外，与体粒子类似的流体形式也适用于α粒子的新经典输运理论。3.发展了轴对称磁场中存在温度各向异性时的新经典输运理论。使用本研究中引入的模型碰撞算子，明确地计算了交叉场通量和自举电流的输运系数。在香蕉区、高原区和香蕉-高原区研究了温度各向异性和径向电场对这些输运系数的影响。

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.