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Finite Banana-Width Effect on Neoclassical Transport Theory

新古典输运理论中的有限香蕉宽度效应

基本信息

批准号：
12680494
负责人：
TAGUCHI Masayoshi
金额：
$ 0.83万
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：
2000
资助国家：
日本
起止时间：
2000 至 2001
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-12680494/
关键词：
neoclassical finite banana-width magnetic axis tokamak steep gradient classical transport plasma alpha particle プラトー領域

项目摘要

The purpose of this research project is to extend the conventional neoclassical transport theory by relaxing the constraints ρ_p/L ≪ 1 and ρ_p/γ ≪ 1, where ρ_p is the poloidal Larmor radius, L is the gradient scale length and γ is the local minor radius.1. The finite banana-width effect modifies the conventional neoclassical transport theory around the magnetic axis in the collisionless regime. The neoclassical transport theory on the magnetic axis is proposed in an axisymmetric magnetic field. Using this theory, a simple interpolation formula between the neoclassical transport coefficients on the magnetic axis and the conventional ones is presented, and the analytic expressions for the transport coefficients are derived. The bootstrap current due to the fusion-produced alpha particles is also obtained. In addition, it is shown that the finite banana-width effect leads to the concept of a tokamak sustained only by the bootstrap current. The properties of this completely bootstrapped tokamak are also studied.2. An ion energy flux across a magnetic field in a presence of steep gradient has been studied. In a uniform magnetic field, the perpendicular energy flux is found to be nonlocally related to the density and pressure profiles. This flux is explicitly calculated for a simple density and pressure profile model and its dependency on ρ/L is obtained, where ρ is the Larmor radius. In the similar method, the nonlocal transport equation for the radial energy flux is derived in the plateau regime. These classical and neoclassical transport equations are valid for the arbitrary values of ρ/L and ρ_p/L.3. A kinetic equation for a distribution function ensemble-averaged over fluctuations has been studied in order to estimate the effect of radial anomalous transport on the current along the magnetic field.

本研究项目的目的是通过放宽ρ_p/L <$1和ρ_p/γ <$1的约束条件来扩展传统的新经典输运理论，其中ρ_p是极向拉莫尔半径，L是梯度标度长度，γ是局部小半径.有限香蕉宽度效应修正了传统的新古典输运理论在无碰撞区域的磁轴附近。提出了轴对称磁场中磁轴上的新经典输运理论。利用这一理论，给出了磁轴上新经典输运系数与常规输运系数之间的一个简单插值公式，并导出了输运系数的解析表达式。由于聚变产生的α粒子的自举电流也得到了。此外，它表明，有限的香蕉宽度效应导致的托卡马克维持的概念，只有自举电流。研究了这种完全自举托卡马克的特性.本文研究了离子在陡梯度磁场中的能流。在均匀磁场中，垂直能通量被发现是非局部相关的密度和压力的轮廓。对于一个简单的密度和压力分布模型，该通量被显式地计算，并且得到其对ρ/L的依赖性，其中ρ是拉莫尔半径。在类似的方法中，在平台区导出了径向能流的非局域输运方程。这些经典和新经典输运方程对任意的ρ/L和ρ_p/L都是有效的。为了估计径向反常输运对沿磁场沿着方向电流的影响，本文研究了在涨落上整体平均分布函数的动力学方程。