环流器等离子体高n气球模的第二稳定区

本文讨论了圆截面高比压等离子体关于高n气球模的稳定性,在高比压情况下,相应的极向磁场对气球模有相当强的驱动作用,从而严重影响了第二稳定区的结构,我们详细计算了不同剪切、不同压强梯度及不同极向场参数对气球模本征函数和本征频率的影响,这些结果比较完善地反映了圆截面环流器中理想磁流体气球模理论所预示的主要结论。 关键词：     

离子有限回转半径效应对环流器气球模的影响

本文在密度梯度和温度梯度同时存在的情况下,研究了离子有限回转半径效应对环流器气球模的影响。利用数值打靶方法求解本征方程,证明存在温度梯度将加强离子有限回转半径的稳定作用。计算结果还表明,比压加大时,本征频率的实部与离子反磁漂移频率有很大的偏离。     

托卡马克中漂移不稳定性的回旋动理学二维本征模方程

从弗拉索夫方程出发,导出了托卡马克等离子体中漂移不稳定性的回旋动理学二维本征模积分方程组。该方程组保留了离子的动理学效应,包括沿磁场的运动、磁场梯度和曲率漂移以及有限拉莫半径效应。与传统的采用气球模表象得到的一维回旋动理学方程(其只能给出不稳定模沿磁场线的结构)不同,该方程组不仅能给出托卡马克等离子体中漂移不稳定模的径向结构,同时还考虑了由离子的环形性漂移引起的相邻极向模之间的线性耦合,进而得到模的极向结构。该结果为相应的数值模拟研究提供了理论基础。     

托卡马克中漂移不稳定性的回旋动理学二维本征模方程

从弗拉索夫方程出发,导出了托卡马克等离子体中漂移不稳定性的回旋动理学二维本征模积分方程组。该方程组保留了离子的动理学效应,包括沿磁场的运动、磁场梯度和曲率漂移以及有限拉莫半径效应。与传统的采用气球模表象得到的一维回旋动理学方程(其只能给出不稳定模沿磁场线的结构)不同,该方程组不仅能给出托卡马克等离子体中漂移不稳定模的径向结构,同时还考虑了由离子的环形性漂移引起的相邻极向模之间的线性耦合,进而得到模的极向结构。该结果为相应的数值模拟研究提供了理论基础。     

四流体模型与托卡马克等离子体中的扰动粒子流

基于俘获粒子极向运动的约束条件，提出了一个简单而有效地描述俘获粒子运动及其对某些不稳定性的影响的四流体模型。作为该模型的应用，推导了各种扰动粒子流和扰动条件下的新经典电导率及包括了惯性效应的更普遍的自举电流表示式，并对役向局域的低极向模数的一类扰动，导出了包含俘获粒子效应的本征模方程。     

核聚变与等离子体物理1984年总目录

乍者{期页题一目托卡马克中等离子体一表面相互作用研究现状对于计算能级占据数密度的速率方程的一些讨论者李国炳王一龙1153O自-勺乙,n乙石秉仁隋国芳曲文孝郭书印枷 73 8O及U一O口呼‘,曰no、一6‘,口。O月‘一江场33少俘百飞场反向位形中的等离子体磁镜内零磁场线散射引起的非绝热粒子损失离子有限回转半径效应对环流器气球模的影响有限刀环形等离子体二维漂移波本征模方程对头碰离子束的密度梯度和速度梯度对电磁不稳定性的影 响核泵浦X激光机理推测托卡马克聚变堆堆芯参数的选择多悬浮电流环的稳定性问题快粒子在等离子体中的慢化谱…     

环流器等离子体压强分布关于理想磁流体气球模的最佳化

大家知道,环流器等离子体关于气球模的稳定性条件对等离子体比压值给出了最严厉的限制,对圆戳面环流器,典型的按体积平均比压值仅为(1—2)％,远低于反应堆的设计要求。许多人已对提高这一临界比压值的各种可能性进行过讨论,最近的研究指出,动力效应对于气球模不稳定性的阈值影响甚微,不过可使不稳定性的增长率降低很多。可是,我们曾发现,可以存在比压值很高的平衡位形,它们对于局部Mercier模是稳定的。这类平衡位形的特点是其q-剖面由等离子体中心向边缘下降。本文目的为验证这类位形相对于最危险的磁流体模式,即气球模的稳定性。     

圆形高斯镜平凹腔腔镜变形时激光模场分析

把圆形高斯镜平凹腔自再现模的衍射积分方程转化为有限阶的矩阵方程,在平面输出镜呈高斯分布的镜面变形时,数值计算了激光场模式的场强、相位分布和模式本征值。结果表明,当变形量较小时,随着变形量的增加,镜面上光场的分布范围增大,也就说明模体积增大,但镜面光场仍保持拉盖尔-高斯光束基模特征,相位由平面慢慢变得凸起,远场分布变化不明显。当变形量较大时,光场分布开始发生畸变。从模式本征值的变化看,在一定的变形范围内,本征值下降不多,说明较小的变形量对激光损耗影响不大,仍能使激光较稳定输出。在圆形高斯镜平凹腔输出镜发生不大的高斯状变形的情况下,仍有维持输出高质量激光束的能力。     

托卡马克等离子体中动力剪切阿尔芬波不稳定性的数值研究

用积分本征模方程研究了在托卡马克等离子体中包含全部动力学效应的动力剪切阿尔芬波模 (无论是否存在温度梯度). 引入了一个新的积分变量，将实平面的积分解析延拓到复平面. 这样可以同时研究增长模和阻尼模. 结果表明，在有离子温度梯度(ITG)的情况下，激发动 力剪切阿尔芬不稳定性所需的等离子体压强梯度比激发理想磁流体动力学气球模不稳定性的 阈值低得多，没有ITG时两者相同. 与动力无碰撞气球模结果不同，当有限ITG存在时，剪切 阿尔芬模存在第二稳定区. 关键词： 动力剪切阿尔芬模 磁流体气球模 阈值压强梯度     

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采用本征模式的数值打靶方法研究了离散阿尔芬本征模在DⅢ-D高性能运行条件下的物理特性,包括负磁剪切位形、高性能加热、正反中性束注入、内部输运垒以及高自举电流和甚高约束运行状态对这种阿尔芬模式的影响。在DⅢ-D托卡马克装置负磁剪切位形及先进运行状态实验参数下这些离散阿尔芬本征模存在于宽的径向区域,且具有广泛的本征频谱;高性能加热、同向中性束注入以及内部输运垒的存在有利于产生多个较深的气球模驱动势阱,由之得以很好地形成这种阿尔芬束缚态本征模;在高自举电流和甚高约束运行条件下这些离散阿尔芬本征模束缚态能够在更广的径向区域存在,且可具有较高的本征频率。另外,参照DⅢ-D装置放电实验数据的时间演变情况,这些离散阿尔芬本征模能在很宽的运行参数范围内出现,使之成为该类大型托卡马克实验中可能广泛存在的潜在不稳定性。     

TOKAMAK BALLOONING MODE STUDIES-(I)

In this paper, the first part deals with the structure of the second stability regime of the ideal MHD ballooning modes in circular tokamaks. It is shown that in high-beta regime,the poloidal magnetic field destabilizes strongly the plasma and can eventually lead to the appearance of a new instability regime at modest beta-value for a flat q-profile. In the second part, th a various kinetic effects on ballooning modes or high-beta tokamaks are calculated. Results show that a new weak ballooning mode branch can exist in the second MHD stability regime in addition to the MHD-like strony ballooning mode branch in the first instability regime with its growth rate decreased by kinetic stabilizations.     

A study of shear flows induced by nonlinear evolution of double tearing modes in Hall magnetohydrodynamics

Shear flows induced by the nonlinear evolution of double tearing modes are studied numerically using Hall magnetohydrodynamics simulations in a slab geometry. The Hall effect is shown to plays an important role when the thickness of current sheets decrease and falls in the range of ion inertia length d _i . Effective shear flows in the magnetic islands are generated during the process of magnetic reconnection and disappear finally. The induced toroidal velocity are shown to be more sensitive than the induced poloidal velocities in the Hall dominant systems. Moreover, the temporal evolution of the shear flows in the Tokamak resonant surface is studied and discussed.     

反常电子粘滞性引起的线性双撕裂模研究

用圆柱位形的磁流体动力学方程对由反常电子粘滞性引起的双撕裂模的线性行为做了数值研究.分析了两个有理面的间距、粘滞率大小和极向模数对双撕裂模模式结构的影响,给出了各种情况下双撕裂模线性增长率跟表征反常电子粘滞率大小的电子雷诺数的定标关系.     

Computational Study of MHD Equilibrium of Noncircular Tokamak Reactor Plasmas

The MHD equilibrium and stability of noncircular tokamak plasmas limited by a separatrix is studied for reactor size systems. A typical example with a plasma current of 15.8 MA and major radius of 8.1 is presented. The required vertical field is generated by a set of discrete external coils and no conducting shell is included. The detailed equilibrium shape is calculated numerically for a vertical elongated plasma with two stagnation points symmetrically located above and below the midplane as would be required for a system with a poloidal divertor. The plasma height to width ratio is 2, the plasma shape factor is 1.6 and poloidal ? is 2.2. The plasma is locally stable. The general stability criteria with respect to quasi-rigid motions (special kink modes) are calculated numerically and found to be satisfied. Size scaling and the engineering constraints are discussed.     

Inductive sustainment of a field-reversed configuration stabilized by shaping, magnetic diffusion, and finite-Larmor-radius effects

Oblate field-reversed configuration (FRC) plasmas are sustained for up to 350 micros, or approximately 15 poloidal flux-confinement times, in the magnetic reconnection experiment. The diamagnetic equilibrium is maintained in argon plasmas as a balance of an inward pinch and outward diffusion. Numerical and analytic models show that the observed stability is provided by a combination of plasma shaping, magnetic diffusion, and finite-Larmor radius effects. FRCs formed with lighter ions, which benefit less from these stabilizing effects, succumb to rapid instability and cannot be sustained.     

Temperature Gradient,Toroidal and Ion FLR Effects on Drift-Tearing Modes

The influences of the temperature gradient and toroidal effects on drift-tearing modes have been studied using the Gyrokinetic Toroidal code. After the thermal force term is introduced into the parallel electron force balance equation, the equilibrium temperature gradient can cause a significant increase in the growth rate of the drifttearing mode and a broadening of the mode structure. The simulation results show that the toroidal effects increase the growth rate of the drift-tearing mode, and the contours of the perturbation field "squeeze" toward the stronger field side in the poloidal section. Finally, the hybrid model for fluid electrons and kinetic ions has been studied briefly, and the dispersion relation of the drift-tearing mode under the influence of ion finite Larmor radius effects is obtained. Compared with the dispersion relation under the fluid model, a stabilizing effect of the ion finite Larmor radius is observed.     

Turbulent saturation of tokamak-core zonal flows

Current theories of zonal flow dynamics focus on the transport of poloidal momentum. Different from a cylinder, stationary poloidal flows in a tokamak are accompanied by (possibly kinetic) flows along the magnetic field, which maintain incompressibility, and comprise the major part of the flow energy. In numerical turbulence studies, the flows saturate by the turbulent diffusion of the parallel flow, whereas the poloidal momentum transport continues to strongly drive the flows.     

Multiple polarization of geodesic curvature induced modes

Dispersion relations for geodesic acoustic modes are derived by using the Grad hydrodynamic equations thereby reconciling long known but not previously explained discrepancy between the results of kinetic and fluid calculations. Extended fluid theory allows a simple analysis of mode polarization and coupling. A new type of electromagnetic modes induced by geodesic compressibility is predicted. These modes are related to Alfvén and geodesic acoustic modes. While a standard geodesic acoustic mode involves poloidally and toroidally symmetric perturbations of electrostatic potential (m=n=0) and the first poloidal side-bands of plasma pressure, new modes involve side-bands of the electrostatic and vector potential as well as pressure perturbations at zeroth and second harmonics. It is shown that there exist two different values of the adiabatic constant depending on the mode polarization. Both standard (electrostatic) geodesic acoustic modes and new electromagnetic modes involve finite perturbations of parallel viscosity, which modify an effective adiabatic (compressibility) index for a toroidal plasma.