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Studies on Neoclassical Quasilinear Transport Theory

新古典拟线性输运理论研究

基本信息

批准号：
10680478
负责人：
TAGUCHI Masayoshi
金额：
$ 0.7万
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：
1998
资助国家：
日本
起止时间：
1998 至 1999
项目状态：
已结题

项目摘要

In this researdh program, a synthetic theory unifying neoclassical and anomalous transport is presented for a weakly turbulet plasma. The following topics have been mainly studied :1. The transport matrix that relates the anomalous particle and heat fluxes and the parallel current to the thermodynamical forces is obtained for a cylindrical plasma in a presence of electrostatic fluctuations. The crucial difference of our formulation with previous works lies in keeping an extra term in the kinetic equation for the fluctuating distribution function. This extra term leads to the Ware pinch components of the particle and heat fluxes and the correction to the Ohmic current. Furthermore, Shaing's ansatz, which was introduced in the synthetic theory, is shown to be concerned with this extra term, and the physical meaning and the validity of this ansatz are revealed. In addition, it is found that the Onsager symmetry for the anomalous transport matrix is boken for a drift-ware turbulent plasma.2. The toroidal effect on the transport matrix is studied for a tokamak plasma. The Ware pinch components of the anomalous particle and heat fluxes and the anomalous parallel current are shown to be sensitive to the toroidal effect. In the banana regime, these pinch components and the parallel current are significantly reduced when the condition |ξィイD2eィエD2|ィイD82εィエD8 is satisfied, where ε is the inverse aspect ratio and ξィイD2eィエD2 is the ratio of the phase velocity of fluctuation to the electron thermal velocity. The anomalous parallel viscosity, the anomalous toroidal rotation velocity, and the toroidal correction terms to the anomalous radial fluxes are also calculated. Moreover, interpolated formulae that can be used throughout all collisionality regimes are presented.3. The synthetic theory is extended to a plasma in nonaxisymmetric magneticfiled, and to a plasma in the presence of not only electrostatic but also electromagnetic fluctuations.

本文提出了一个统一弱湍流等离子体新经典输运和反常输运的综合理论。本文主要研究了以下几个问题：1.对于存在静电涨落的圆柱形等离子体，得到了将反常粒子通量、热通量和平行电流与引力联系起来的输运矩阵。我们的配方与以前的作品的关键区别在于保持一个额外的项在动力学方程的波动分布函数。这个额外的项导致粒子和热通量的Ware箍缩分量以及对欧姆电流的校正。进一步证明了综合理论中引入的Shaing定理与这一附加项有关，并揭示了这一定理的物理意义和正确性。此外，还发现漂移波湍流等离子体的反常输运矩阵具有Onsager对称性.本文研究了托卡马克等离子体中环向效应对输运矩阵的影响。反常粒子和热通量的Ware箍缩分量以及反常平行电流对环形效应敏感。在香蕉状态下，当条件满足时，这些箍缩分量和并联电流显著减小。|电子邮件：info@hkd.com.cn|其中ε是纵横比的倒数，而ε_（10）D_（20）D_（20）D_（20）是波动的相速度与电子热速度的比值。计算了异常平行粘度、异常环向自转速度和异常径向通量的环向修正项。此外，给出了适用于所有碰撞区域的内插公式.本文将综合理论推广到非轴对称磁场中的等离子体和既有静电涨落又有电磁涨落的等离子体。