高磁雷诺数下剪切流对双撕裂模中二级磁岛的影响

在高磁雷诺数下,当双撕裂模发展进入快速磁场重联阶段时,会发生二级磁岛不稳定性,加剧磁场能量的释放。本文基于扰动形式的守恒磁流体方程组发展高精度的数值模拟程序,在平板位形下研究反对称位形剪切流对双撕裂模中二级磁岛的影响。结果表明：随着剪切流强度和剪切梯度的增加,二级磁岛的数目以及电流片横纵比变小。此外,较强的极向剪切流能够抑制二级磁岛不稳定性的发生。     

强碰撞下的漂移波稳定性

在碰撞存在时,考虑到在扰动电场作用下电子沿磁力线的宏观运动,用迴旋动力技术导出了强碰撞的积分本征方程。随后用LCN方法严格解析地证明了在平板剪切磁场的作用下,漂移波是绝对稳定的。 关键词：     

不同磁场构型下Richtmyer-Meshkov不稳定性的数值研究及动态模态分解

基于磁流体动力学,本文通过数值模拟对不同磁场构型下轻质气柱界面Richtmyer-Meshkov不稳定性的演化过程进行了研究.结果显示:磁场对波系演化影响甚微,但能抑制界面不稳定性发展,且横向磁场抑制效果更好.无磁场时,界面形成涡串, SF_6射流穿过下游界面;有磁场时,界面光滑无涡串.其中,横向磁场下界面更光滑, SF_6射流不再穿过界面.此外,由于Richtmyer-Meshkov不稳定性的作用,磁力线在气柱界面发生扭曲,且上游界面处磁力线扭曲程度更大,产生强洛伦兹力,使涡量分层明显;下游界面处,纵向磁场产生的洛伦兹力较横向磁场更小,涡层之间相互干扰.最后,本文将动态模态分解用于界面不稳定性研究,发现:磁场作用下界面仍存在小涡,且纵向磁场下扰动更多.第一模态的稳定涡结构能反映主要流场信息,第二到第四模态下的小涡频率依次增加,且无磁场、纵向和横向磁场的同一模态下,小涡频率依次减小.因而磁场能抑制小涡频率,且横向磁场抑制效果更好.     

第十二章 电流的磁场

第十二章电流的磁场练习一磁场电流的磁场一、判断题１．所有载流导线周围都有稳定的磁场。（）２．磁力线是起源于Ｎ极，终止于Ｓ极的有头有尾的曲线。（）３．通电螺线管外部的磁力线是北极出来，进入南极，内部的磁力线跟轴线平行，方向由南极指向北极，并和外部的磁力...     

磁场的直接观测

本文就能直接观测磁场的分布图象的铁屑法、全息电子显微镜法、偏光显微镜法和磁缀饰扫描电镜法加以论述。一、铁屑法观测磁场的磁力线分布如果把白纸板放在磁铁之上,将铁屑或铁粉广泛地撒布在白纸板上,轻轻地敲打纸板之后,铁屑将按某种图象排列起来,铁屑线就描述了磁力线的分布。图1所示即为条形磁铁磁力线的分布。这种     

NdFeB永磁体下YBaCuO块材在交流磁扰动中的悬浮力磁滞特性

研究了交流磁扰动对高温超导块材和永磁体之间悬浮力的影响。实验分析了在零场冷(ZFC)条件下,不同频率的交流磁场扰动下的悬浮力曲线;另外还研究了交流磁扰动在永磁体下降和上升过程中对悬浮力的影响,发现上升过程中悬浮力受交流磁场影响较大,而在下降过程中影响则较为不明显,同时随着交流磁场幅值的增大,悬浮力的滞回曲线逐渐加宽。说明交流磁场导致了超导块磁滞损耗的增加,对超导磁浮特性的研究具有理论意义。     

宽带高幅驱动静电探针与湍流扰动的传播途径

在KT—5C装置上用高输出能力的宽频带功率源驱动静电探针调制等离子体湍流振动，研究了等离子体边界湍流扰动的传播特性。在实验中用静电探针和磁探针探测到该功率源驱动的扰动沿磁力线传播，得出湍流扰动既可通过静电涨落形式传播，又可通过电磁落落选径传播。     

非理想MHD流的奇异吸引子与混沌现象

本文提出并研究了在剪切磁场中非理想MHD流的Rayleigh-Bnard问题的一个模型,得到了关于这个模型的一个新的非线性微分方程组。理论和数值分析表明:这组方程蕴含一个奇异吸引子,它具有不同于Lorenz吸引子的一些新特性;更重要的是,已知的三条通往混沌的道路并存于这个模型之中。应当指出,在迄今所有已知的向混沌态过渡的三条道路共存的模型中，我们的方程组是唯一没有外部周期驱动项的，更直接地体现了非线性确定论系统的“内在”随机件、另外，对这个简单模型进行数值模拟．我们观察到磁力线的随机运动、磁力线重联和磁岛 关键词：     

复合外场中磁光薄膜(BiTm)3(FeGa)5O12缺陷周围磁畴壁的形貌特征

用自组装系记录了外场分别为均速率增加的直流磁场，低频交变磁场和它们同时存在时，磁光薄膜（BiTm)3(FeGa)5O12一种缺陷周围磁畴壁的形貌特征。分析表明：三种不同取向磁畴壁的交界处往往是磁光薄膜的缺陷所在处；在低频交变场下，该缺陷区域出现无畴条块或区域，在直流场中无此现象。在低频交变场以及复合外场下该缺陷周围磁畴壁形成椭圆形图案。     

强磁场环境下铁素体钢矩形流体通道内磁场分布研究

用Ansys静磁模块数值模拟了在外加强磁场环境下铁素体矩形通道管中心磁感应强度分布。与文献结果、解析解及实验数据的对比表明,模拟结果与它们基本一致。进一步的数值模拟还表明,铁素体矩形管对其内部的整体磁场分布影响较大,不同区域内产生不同程度的磁力线扭曲及非均匀的磁感应强度分布效应。该分布可能对管道内磁流体动力学效应产生较大影响。     

Topology of toroidal helical fields in non-circular cross-sectional tokamaks

The ordinary differential magnetic field line equations are solved numerically; the tokamak magnetic structure is studied on Hefei Tokamak-7 Upgrade （HT-TU） when the equilibrium field with a monotonic q-profile is perturbed by a helical magnetic field. We find that a single mode （m, n） helical perturbation can cause the formation of islands on rational surfaces with q=m/n and q=（m±1,±2,±3,...）/n due to the toroidicity and plasma shape （i.e. elongation and triangularity）, while there are many undestroyed magnetic surfaces called Kolmogorov-Arnold-Moser （KAM） barriers on irrational surfaces. The islands on the same rational surface do not have the same size. When the ratio between the perturbing magnetic field Br（r） and the toroidal magnetic field amplitude Bφ0 is large enough, the magnetic island chains on different rational surfaces will overlap and chaotic orbits appear in the overlapping area, and the magnetic field becomes stochastic. It is remarkable that the stochastic layer appears first in the plasma edge region.     

Finite-amplitude electrostatic waves im magneto-active plasmas

Summary Weakly nonlinear dispersive longitudinal waves in an infinite homogeneous collisionless plasma in the presence of an external constant and uniform magnetic field are considered. Under specific physical assumptions and for an arbitrary three-dimensional envelope modulation of a plane wave, a purely differential system is derived. Taking into account the effect of wave-wave and wave-particle interaction, the evolution of the modulation is described by a modified nonlinear Schr?dinger equation, coupled to the space perturbation charge densities. The generation of a static mode is described. As a particular case the electron waves are discussed and some special solutions, resorting to the theory of the perturbed solitions.     

Secondary resonances in Penning traps. Non-lie symmetry algebras and quantum states

The Penning trap Hamiltonian (hyperbolic oscillator in a homogeneous magnetic field) is considered in the basic three-frequency resonance regime. We describe its non-Lie algebra of symmetries. By perturbing the homogeneous magnetic field, we discover that, for special directions of the perturbation, a secondary hyperbolic resonance appears in the trap. For corresponding secondary resonance algebra, we describe its non-Lie permutation relations and irreducible representations realized by ordinary differential operators. Under an additional (Ioffe) inhomogeneous perturbation of the magnetic field, we derive an effective Hamiltonian over the secondary symmetry algebra. In an irreducible representation, this Hamiltonian is a model second-order differential operator. The spectral asymptotics is derived, and an integral formula for the asymptotic eigenstates of the entire perturbed trap Hamiltonian is obtained via coherent states of the secondary symmetry algebra.     

Molecular g-tensors from analytical response theory and quasi-degenerate perturbation theory in the framework of complete active space self-consistent field method

The molecular g-tensor is an important spectroscopic parameter provided by electron para magnetic resonance (EPR) measurement and often needs to be interpreted using computational methods. Here, we present two new implementations based on the first-order and second-order perturbation theories to calculate the g-tensors within the complete-active space self-consistent field (CASSCF) wave function model. In the first-order method, the quasi-degenerate perturbation theory (QDPT) is employed for constructing relativistic CASSCF states perturbed with the spin–orbit coupling operator, which is described effectively in one-electron form with the flexible nuclear screening spin–orbit approximation introduced recently by us. The second-order method is a newly reported approach built upon the linear response theory which accounts for the perturbation with respect to external magnetic field. It is implemented with the coupled–perturbed CASSCF (CP-CASSCF) approach, which provides an equivalent of untruncated sum-over-states expansion. The comparison of the performances between the first-order and second-order methods is shown for various molecules containing light to heavy elements, highlighting their relative strength and weakness. The formulations of QDPT and CP-CASSCF approaches as well as the derivation of the second-order Douglas–Kroll–Hess picture change of Zeeman operators are given in detail.     

Control of asymmetric magnetic perturbations in tokamaks

The sensitivity of tokamak plasmas to very small deviations from the axisymmetry of the magnetic field |deltaB/B| approximately 10{-4} is well known. What was not understood until very recently is the importance of the perturbation to the plasma equilibrium in assessing the effects of externally produced asymmetries in the magnetic field, even far from a stability limit. DIII-D and NSTX experiments find that when the deleterious effects of asymmetries are mitigated, the external asymmetric field was often made stronger and had an increased interaction with the magnetic field of the unperturbed equilibrium. This Letter explains these counterintuitive results. The explanation using ideal perturbed equilibria has important implications for the control of field errors in all toroidal plasmas.     

Toroidal plasma rotation induced by the dynamic ergodic divertor in the TEXTOR tokamak

The first results of the Dynamic Ergodic Divertor in TEXTOR, when operating in the m/n=3/1 mode configuration, are presented. The deeply penetrating external magnetic field perturbation of this configuration increases the toroidal plasma rotation. Staying below the excitation threshold for the m/n=2/1 tearing mode, this toroidal rotation is always in the direction of the plasma current, even if the toroidal projection of the rotating magnetic field perturbation is in the opposite direction. The observed toroidal rotation direction is consistent with a radial electric field, generated by an enhanced electron transport in the ergodic layers near the resonances of the perturbation. This is an effect different from theoretical predictions, which assume a direct coupling between rotating perturbation and plasma to be the dominant effect of momentum transfer.     

Tearing mode suppression by using resonant magnetic perturbation coils on J-TEXT tokamak

A series of experiments on the interactions between external resonant magnetic perturbations (RMP) and plasmas has recently been conducted, using static resonant magnetic perturbation (SRMP) coils on the Joint Texas Experimental Tokamak (J-TEXT). The tearing mode can be completely suppressed by applying SRMP. However, the locked mode is likely to be stimulated under a larger SRMP field even though the tearing mode has been first suppressed. A numerical simulation shows three typical regimes of RMP?s effects on the tearing mode, which are consistent with experimental results.     

Ray chaos and ray clustering in an ocean waveguide

We consider ray propagation in a waveguide with a designed sound-speed profile perturbed by a range-dependent perturbation caused by internal waves in deep ocean environments. The Hamiltonian formalism in terms of the action and angle variables is applied to study nonlinear ray dynamics with two sound-channel models and three perturbation models: a single-mode perturbation, a randomlike sound-speed fluctuations, and a mixed perturbation. In the integrable limit without any perturbation, we derive analytical expressions for ray arrival times and timefronts at a given range, the main measurable characteristics in field experiments in the ocean. In the presence of a single-mode perturbation, ray chaos is shown to arise as a result of overlapping nonlinear ray-medium resonances. Poincare maps, plots of variations of the action per ray cycle length, and plots with rays escaping the channel reveal inhomogeneous structure of the underlying phase space with remarkable zones of stability where stable coherent ray clusters may be formed. We demonstrate the possibility of determining the wavelength of the perturbation mode from the arrival time distribution under conditions of ray chaos. It is surprising that coherent ray clusters, consisting of fans of rays which propagate over long ranges with close dynamical characteristics, can survive under a randomlike multiplicative perturbation modelling sound-speed fluctuations caused by a wide spectrum of internal waves.     

The hyperfine magnetic field in Fe-Hf amorphous alloys at low temperatures

The time-differential perturbed angular correlation (TDPAC) technique was applied to study the hyperfine magnetic field in amorphous Fe-Hf alloys with different Hf contents at low temperatures. The Hf content was changed from 20 to 40 at% andthe TDPAC measurements were carried out in the temperature range from room temperature down to 18 K. Very strong perturbations were observed for the specimen of low Hf content at low temperatures due to a strong hyperfine magnetic field. The characteristic feature observed by the present study is that the temperature dependence of the perturbation for the Fe-30 at% Hf source is quite different from that for other sources, indicating a maximum around 80 K. Discussions have been given on the explanation of the experimental results in the light of magnetic properties of these alloys.     

用磁探针反演磁岛二维结构的方法及其在HL-2A装置上的应用

介绍了HL-2A装置中利用磁探针数据反演磁岛极向二维结构的新方法,以及在反演基础上建立的撕裂模动态分析方法。在实验中通过磁探针测量确定作为扰动磁场来源的扰动电流。将扰动磁通与由EFIT重建的平衡磁通叠加反演出磁岛的结构,并给出磁岛的宽度。然后,按时间顺序建构二维结构图并依次记录,之后依次展现图像就可以对磁岛进行动态分析。应用此方法进行撕裂模分析,得出了磁岛旋转与电子抗磁漂移方向相同,验证了磁岛宽度与扰动场的关系及ECRH对磁岛的抑制作用。这显示了磁探针反演磁岛结构方法的直观性,对观察并控制MHD不稳定性非常有利。