漂移热流与托卡马克等离子体粒子径向箍缩

利用流体力学模型分析了由漂移热通过磁场不均匀性引的沿磁力线的电场,结合俘获粒子极向分布的不均匀性,计算了这种沿力线电场引起的粒子径向箍缩。这种“新经典”类型的粒子径向箍缩机制,对理解“反常”粒子径向箍缩及某些条件下向内的热输运的有帮助的。     

漂称热流与托卡马克等离子体径向箍缩

考虑到俘获粒子的极向分布不均匀性,在研究可能的等效外场引起的径向输运时,本文分析了漂移热流的影响。由于磁场的不均匀性,漂移热流可使磁面上离子平衡温度不再为常量,从而导致沿磁力线方向静电场的出现。当考虑到俘获粒子效应时,这种沿磁力线电场引起的粒子径向箍缩是一种新经典类型的箍缩机制。在反磁剪切引起的势垒处,由于温度梯度特别大,这一箍缩效应极为强烈,这有助于解释此处输运好于新经典输运的原因。     

先进磁镜装置中径向电场对高能粒子的约束性能研究

本文运用Boris算法对紧凑型聚变反应装置(compact fusion reactor, CFR)中高能a粒子的运动轨道进行了数值模拟,分析了高能a粒子在不同径向电场作用下运动轨道的差异性;探究了不同径向电场对CFR装置中不同位置处a粒子约束性能的影响.研究结果表明,当正、负径向电场强度达到一定临界值时,都能够使高能a粒子很好地约束在CFR装置内部,但不同位置处径向电场强度临界值与a粒子初始条件有关.     

基于MATLAB的地磁场中带电粒子运动模拟分析

依据单粒子轨道理论和偶极磁场模型定性分析中高能带电粒子在近地区域的运动过程,并利用MATLAB对地磁场捕获带电粒子的基本原理进行数值模拟.结果表明,地球的磁镜结构可以将一定角度射入的带电粒子束缚在其中,粒子的漂移运动速度大小取决于粒子的能量,能量越大的粒子其漂移速度越大;磁镜点的磁感应强度大小由粒子的抛射角决定,随着抛...     

带电粒子在地磁场中的运动及Mathematica数值模拟

基于单粒子轨道模型和地磁场偶极子模型,考虑相对论效应,对近地球区域磁场中运动的带电粒子轨迹使用Mathematica软件中六阶龙格—库塔算法进行数值计算和模拟,并对极光现象的产生进行了解释,同时讨论了带电粒子在地磁场中运动的引导中心近似.结果表明：1)从地球北极方向观察,被地球磁场捕获的质子沿顺时针方向漂移,电子沿逆时针方向漂移;2)粒子各个分运动的运动周期数值模拟结果与文献中理论值非常吻合;3)从(4R_e,0,0)入射的粒子投掷角小于7.38°时,带电粒子将会与地球表面大气层碰撞而沉降,存在产生极光现象的可能.大于7.38°时,粒子将会被束缚在地磁场中,形成辐射带;4)其他条件相同时,带电粒子投掷点距离地球越远,其漂移速度越大;投掷角越大,其漂移速度也越大;5)对于能量较低的粒子,一阶近似下引导中心轨迹能很好地代表粒子实际运动轨迹.     

磁场旋度对磁场漂移的影响

讨论了静态非均匀磁场中的磁场旋度对带电粒子引导中心漂移的影响。运用三维矢量分析的方法,将带电粒子垂直于磁场运动所引起的磁场漂移分为两项,分别由磁场的曲率和磁场的旋度决定。给出了螺旋状环形磁场中由磁场旋度引起的磁场漂移的近似表达式,讨论了该漂移成分对于该磁场中通行粒子轨道和捕获粒子轨道的可能影响。结果表明,带电粒子垂直于磁场运动所引起的磁场漂移主要由磁场的曲率决定,而磁场旋度对该漂移的影响比较微弱。     

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讨论了静态非均匀磁场中的磁场旋度对带电粒子引导中心漂移的影响。运用三维矢量分析的方法,将带电粒子垂直于磁场运动所引起的磁场漂移分为两项,分别由磁场的曲率和磁场的旋度决定。给出了螺旋状环形磁场中由磁场旋度引起的磁场漂移的近似表达式,讨论了该漂移成分对于该磁场中通行粒子轨道和捕获粒子轨道的可能影响。结果表明,带电粒子垂直于磁场运动所引起的磁场漂移主要由磁场的曲率决定,而磁场旋度对该漂移的影响比较微弱。     

刍议带电粒子在电磁场中的运动轨迹

在只有磁场时,带电粒子受到洛伦兹力作用,洛伦兹力只改变带电粒子的运动方向,不会改变其速率,因而洛伦兹力的大小也不会改变.但如果电场和磁场同时存在时,带电粒子的速率将改变,洛伦兹力的大小也随之改变.所以当电场和磁场同时存在时,带电粒子的运动轨迹并非电场和磁场单独存在时带电粒子运动的简单迭加.     

托卡马克中带电粒子的直接损失问题研究

首次发现了托卡马克中存在迥异于通行粒子和香蕉粒子的第三种粒子, 这种粒子会由于漂移运动而摆脱磁场的约束. 研究了该类粒子在其速度空间上的类磁镜损失锥, 给出了这一损失锥的数学表达式, 分析了存在这一类粒子的物理成因, 模拟与数学分析的结果基本一致. 研究还发现, 回旋半径在二阶条件下带电粒子的轨道损失高于零阶情况, 且与装置参数密切相关.     

混合层中柱状粒子运动的研究

本文在直接数值模拟混合层流场的基础上,求解柱状粒子运动方程而得到粒子运动轨迹,说明粒子在混合层中的不同区域,其运动轨迹也不同,有的呈现波状轨迹,有的呈现环状轨迹,有的是混合轨迹。粒子的混合程度与St数有关。文中结论对工程应用有指导意义。     

CT-6B托卡马克等离子体角向转动的光谱测量

利用高分辨光谱测量系统，根据杂质离子谱线ＯⅡ４６４.２ｎｍ，ＣⅢ４６４.７ｎｍ和氢Ｈα谱线的多普勒位移，测量了ＣＴ-６Ｂ托卡马克等离子体角向转动速度的径向分布．结果表明：杂质离子的角向转动速度的方向在等离子体内部为电子逆磁漂移方向，其线速度在小半径约９ｃｍ处达到极大值３.５ｋｍ／ｓ；在接近孔阑ｒ＝１０ｃｍ处，反转为离子逆磁漂移方向．由此导出等离子体内部的径向电场向里，其最大值为１８Ｖ／ｃｍ．中性氢原子只存在其方向为电子逆磁漂移方向的角向转动分量，其数值较杂质离子谱线所得结果要低．最后对所得的结果作了初步的讨论 关键词：     

Radial convection of plasma structures in a turbulent rotating magnetized-plasma column

The turbulent regime of a rotating magnetized plasma column has been studied. The detection and the spatiotemporal analysis of structures by means of conditional sampling techniques is performed. Because of the overall rotation and centrifugal effects, the structures inside the turbulence move on average along a spiral trajectory leading to a net radial convection of the charged particles to the walls. The development of a poloidal electric field inside the structures has been measured. It leads to the observed outwards radial E x B drift in agreement with the expectations of recent theoretical works.     

Theorie der Bewegung geladener Teilchen in richtungskonstanten zeitabhängigen Magnetfeldern und elektrischen Zusatzfeldern

The motion of a charged particle in spatially homogeneous electric and magnetic fields is calculated for the case of the magnetic field to have a constant direction and its intensity to vary with an arbitrary power of time. The special case of a linearly increasing magnetic field is treated in detail taking into account a friction force proportional to the particle velocity. Generally, the equations of motion are reduced to a single differential equation of second order which is integrated exactly. The higher transcendental functions appearing in the solution are then approximated by elementary functions. Thus asymptotic approximative equations of a very simple form are obtained for position, velocity, kinetic energy and magnetic moment of the particle. The dependence of the particle orbit on the initial values of position and velocity and on the properties of the magnetic field is studied, and it is shown, how the particle motion is a helical motion superposed by a drift. The influence of the electric field induced by the time dependent magnetic field on the particle motion is considered in detail. For an additional electric field being present a drift formula is derived which is a generalization of the well-known ?? × ?? 93 drift for constant fields.     

Orbital and epicyclic motion of charged test particles around non-rotating Einstein-Æther black holes

The study of charged test particle dynamics in the combined black hole gravitational field and magnetic field around it could provide important theoretical insight into astrophysical processes around such compact object. We have explored the orbital and epicyclic motion of charged test particles in the background of non-rotating Einstein-Æther black holes in the presence of external uniform magnetic field. We numerically integrate the equations of motion and analyze the trajectories of the charged test particles. We examined the stability of circular orbits using effective potential technique and study the characteristics of innermost stable circular orbits. We analyze the key features of quasi-harmonic oscillations of charged test particles nearby the stable circular orbits in an equatorial plane of the black hole, and investigate the radial profiles of the frequencies of latitudinal as well as radial harmonic oscillations in dependence on the strength of magnetic field, mass of the black hole and dimensionless coupling constants of the theory. We demonstrate that the magnetic field and dimensionless parameters of the theory have strong influence on charged particle motion around Einstein-Æther black holes.     

Two-dimensional structure and particle pinch in tokamak H mode

Two-dimensional structures of the electrostatic potential, density, and flow velocity near the edge of a tokamak plasma are investigated. The model includes the nonlinearity in bulk-ion viscosity and turbulence-driven shear viscosity. For the case with the strong radial electric field (H mode), a two-dimensional structure in a transport barrier is obtained, giving a poloidal shock with a solitary radial electric field profile. The inward particle pinch is induced from this poloidal asymmetric electric field, and increases as the radial electric field becomes stronger. The abrupt increase of this inward ion and electron flux at the onset of L- to H-mode transition explains the rapid establishment of the density pedestal, which is responsible for the observed spontaneous self-reorganization into an improved confinement regime.     

Dynamic transport simulation code including plasma rotation and radial electric field

A new one-dimensional transport code named TASK/TX, which is able to describe dynamic behavior of tokamak plasmas, has been developed. It solves simultaneously a set of flux-surface averaged equations composed of Maxwell’s equations, continuity equations, equations of motion, heat transport equations, fast-particle slowing-down equations and two-group neutral diffusion equations. The set of equations describes plasma rotations in both toroidal and poloidal directions through momentum transfer and evaluates the radial electric field self-consistently. The finite element method with a piecewise linear interpolation function is employed with a fine radial mesh near the plasma surface. The Streamline Upwind Petrov–Galerkin method is also used for robust calculation. We have confirmed that the neoclassical properties are well described by the poloidal neoclassical viscous force. The modification of density profile during neutral beam injection is presented. In the presence of ion orbit loss, the generation of the inward radial electric field and torque due to radial current is self-consistently calculated.     

Effect of E × B electron drift and plasma discharge in dc magnetron sputtering plasma

Study of electron drift velocity caused by Etimes B motion is done with the help of a Mach probe in a dc cylindrical magnetron sputtering system at different plasma discharge parameters like discharge voltage, gas pressure and applied magnetic field strength. The interplay of the electron drift with the different discharge parameters has been investigated. Strong radial variation of the electron drift velocity is observed and is found to be maximum near the cathode and it decreases slowly with the increase of radial distance from the cathode. The sheath electric field, E measured experimentally from potential profile curve using an emissive probe is contributed to the observed radial variation of the electron drift velocity. The measured values of the drift velocities are also compared with the values from the conventional theory using the experimental values of electric and magnetic fields. This study of the drift velocity variation is helpful in providing a useful insight for determining the discharge conditions and parameters for sputter deposition of thin film.     

EDGE REYNOLDS STRESS STRUCTURE OF LOWER HYBRID WAVE INJECTION IN THE HL—1M PLASMA

The radial profiles of electrostatic Reynolds stress,plasma poloidal rotations,radial and poloidal electric fields have been measured in the plasma boundary region on the HL-1M tokamak using a multi-array of Mach/Langmuir probes.During experiments of lower hybrid wave current drive,the variations in LHW drive power xill cause changes in the edge electric field,poloidal rotation veloity and Reynolds stress.The results indicate that sheared poloidal flow can be generated in the edge plasma due to radially varied Reynolds stress.     

Measurements of Reynolds stress and turbulence in the boundary plasma of the HT-7 tokamak

Measurements of electric field fluctuations, Reynolds stress and poloidal flow have been performed in the boundary region of the HT-7 tokamak using a Langmuir probe array.Sheared radial electric field and poloidal flow have been found in the vicinity of the limiter and the turbulence has been clearly modified in this region. Furthermore,the electrostatic Reynolds stress component shows a radial gradient close to the velocity shear layer location.All results here indicate that the radial gradient of Reynolds stress may play an important role in the driving of poloidal flows in the plasma boundary region.