Theory and Simulation Study of Transport Processes in Magnetized Plasmas

本研究的目的是基于粒子运动学理论，在宏观尺度上研究磁约束等离子体在磁场中的粒子和能量输运。为此，一种有用的方法是使用粒子模拟技术。为此，发展了适用于研究长时间、大空间尺度上的非均匀和非线性等离子体行为的宏观尺度粒子程序。宏观尺度粒子模拟程序的开发始于1984年，并于1989财政年度完成，用于密度和磁场分布接近均匀的等离子体。1990财政年度对该程序进行了改进，使其适用于非均匀高温等离子体中宏观和动力学非线性现象的研究。也就是说，有三个条件：1)特征时标远大于电子时标(DELTAt&gt；&gt；omega_&lt；CA&gt；^&lt；-1&gt；，omega_&lt；PA&gt；^&lt；-1&gt；)；2)处理密度和磁场的强烈不均匀；3)处理环形、非圆形截面等任意等离子体形状。其中，条件1)已经满足，因此代码在1990年被改进以满足条件2)。进一步的改进和实际系统的应用将留待新成立的美国国家核聚变科学研究所进行。至于解析工作，基于单粒子图像推导了高频电磁场有质动力引起的任意形状磁场中粒子漂移通量的一般表达式，并与基于流体图像的粒子漂移通量一致。导出了产生径向电场的非内极子磁通。

The purpose of the present research is to study the particle and energy transport of a magnetically confined plasma across the magnetic field over a macroscopic scale based on the particle kinetic theory. One useful method for this purpose is to use the particle simulation technique. To this end, the macroscale particle code which is applicable to study nonuniform and nonlinear plasma behaviors over a long time and large space scales has been developed. The development of the macroscale particle simulation code was started in 1984 and was completed in the fiscal year 1989 for the case of a plasma in nearly uniform density and magnetic field profile. In the fiscal year 1990, an improvement of this code was carried out with the aim to make it applicable to study of macroscopic and kinetic nonlinear phenomena in non-uniform high temperature plasmas. Namely, there are three requisits : 1) t he characteristic time scale be much larger than the electronic time scales (DELTAt>>omega_<CA>^<-1>, omega_<PA>^<-1>) ; 2) strong nonuniformity of the density and magnetic field be treated ; 3) arbitrary plasma shapes such as torus, noncirculer cross sections be treated. Of these, condition 1) was already satisfied, so the code was improved to satisfy condition 2) in 1990. Further improvement and applications to real systems are left to future work which will be conducted at the newly established National Institute for Fusion Science.As for the analytical work, a general expression for the particle drift flux across an arbitrary shape of magnetic field due to the ponderomotive force of high frequency electromagnetic fields was derived based on the single particle picture and was shown to be consistent with the flux based on the fluid picture. The nonambipolr flux which causes a radial electric field was derived.