利用二阶方向导数证明极值的充分条件

介绍二元函数二阶方向导数的概念与计算方法.利用线性代数中的二次型知识,对二元函数在驻点处是否取得极值的充分性定理给出有几何意义的证明.     

Density Fluctuation Measurements Using FIR Interferometer on HL-2A Tokamak

Density fluctuations were first measured in the core region of HL-2A tokamak plasma using a newly developed multi-channel FIR interferometer system. In divertor ohmic discharges, we measured the radial density fluctuation levels of 5%, which increase to 10-20% during the appearance of MHD activity. Most of the power density in the density fluctuation spectrum is directly associated with m = 2 tearing modes. The fluctuation levels reduce to 1/3 and plasma confinement is improved during off-axis electron-cyclotron-resonance heating （ECRH）.     

Properties of plasma radiation during discharges with improved confinement on HL-2A Tokamak

In the recent experiment on the HL-2A tokamak,two types of improved confinement regimes have been achieved in different configurations.One is the improved confinement regime in limiter configuration during electron cyclotron resonant heating (ECRH),characterized by a sharp decrease in H α emission accompanied by an increase in the total radiation of plasma,the line averaged electron density and the stored energy of plasma.The other is high confinement regime (H-mode) in divertor configuration during a combination of ECRH and Neutral beam injection (NBI) heating,characterized with edge localized modes (ELMs) besides the features mentioned above.The ELMs are found to be localized on the plasma edge (r/a ≥ 0.8),causing average losses of particles and stored energy in the ranges of about 1-3% and 3-5% respectively during a single ELM event.So far,the ELMs observed in the HL-2A are type III ELMs with low amplitude and high repetition frequency in a range from 200 Hz to 350 Hz.An investigation of the radiated power density profiles shows that radiative cooling effect plays a significant role in the transition back to the L-mode and the triggering of ELM events.     

HL-2Aװ�ó���������ע�����Ч�ʵ��о�

利用多道远红外HCN激光干涉仪实时测量了等离子体中的粒子数增量,首次得到了HL-2A等离子体偏滤器位形和孔栏位形下强场侧和弱场侧SMBI的加料效率,结果与法国Tore Supra装置的SMBI加料效率的范围相一致。     

HL-2Aװ�õ�Լ�����ƺͱ߽羻���빦�ʷ���

在HL-2A装置孔栏位形放电的等离子体实验中,电子回旋辅助加热期间观察到了等离子体约束改善的现象,并对等离子体从低约束模式(L模)向约束改善模式转换时的等离子体线平均电子密度、等离子体储能、分界面内辐射功率、能量约束时间、Hα辐射等进行了研究。同时,分析了电子密度和等离子体辐射功率的空间分布随时间的演化。对改善约束的相关功率(辅助加热、欧姆加热功率和损失功率)进行了分析,并研究了等离子体约束改善转换时的边界净输入功率(阈值)与电子线平均密度和环向磁场的关系。     

HL-2M 装置CO2 色散干涉仪的金属角锥反射镜特性研究

针对金属角锥反射镜的加工装配误差对传输光路的影响,研究了金属角锥反射镜二面角误差与反射光束的关系。详细分析了金属角锥反射镜表面面型及形态对反射特性的影响,并对不同角锥反射镜各个区域的反射率进行测量对比,对金属角锥反射镜的偏振特性也进行分析。研究结果表明,应用于HL-2M 装置CO₂ 色散干涉仪中金属角锥反射镜的表面面形加工精度应在0.3μm 之内,二面角的装调误差宜为正公差且控制在30'内,且表面镀膜的膜层牢固不易脱落。     

磁性斯格明子的赛道存储

磁性斯格明子是拓扑稳定的自旋结构,它的尺寸小,驱动电流阈值小,被广泛认为是下一代磁性存储的基本单元.斯格明子的主要优势在于它奇特的动力学性质,特别是它能够与传导电子相互作用,在低电流密度驱动下可以在赛道上稳定地运动.本文结合磁性斯格明子赛道存储的最新研究成果,对斯格明子在赛道上的写入、驱动和读出三个方面进行了较为详细的综述.重点介绍了注入自旋极化电流这一最常见的驱动方法,分析了斯格明子在赛道上的堵塞和湮没现象,探讨了斯格明子霍尔效应及其可能造成信号丢失的危害和相关的解决方法,并在此基础上详细介绍了几种斯格明子塞道存储的优化设计方案.最后总结了磁性斯格明子赛道存储面临的一些挑战.     

ZrO2纳米流体的对流换热系数测定及机理浅析

建立了测量圆管内纳米流体流动与传热性能的实验系统,测量了不同粒子浓度的ZrO2/水纳米流体在雷诺数为3 000～18 000范围内的管内对流换热系数以及不同位置处纳米流体对流换热系数的变化情况.实验结果显示,在液体中添加纳米粒子显著增大了液体的管内对流换热系数,例如,在相同雷诺数时,与纯水相比,如果纳米粒子的质量浓度从1.6%增大到4.1%,则纳米流体的对流换热系数增加的比例从1.09增大到1.2.此外,从颗粒的浓度、粒径两方面分析纳米流体强化传热的机理.     

Wilhelmy吊片法测定磷脂溶液的表面张力等温线

表面活性物质的表面张力等温线测定是大学物理化学实验的重要内容。随着磷脂类表面活性剂的广泛应用，有必要在大学化学中更新经典表面张力等温线测定的实验内容，并使学生掌握先进的测量方法。以二硬脂酰基磷脂酰胆碱(DSPC)和二棕榈酰基磷脂酰胆碱(DPPC)为研究对象，应用界面张力仪测定了两种溶液表面张力等温线，计算了其表面超量和分子横截面积，并设计了拓展性实验内容，对于培养学生分析问题和解决问题的能力具有积极的意义。     

Manipulating Skyrmion Motion on a Nanotrack with Varied Material Parameters and Tilted Spin Currents

Magnetic skyrmions are topological quasiparticles with nanoscale size and high mobility, which have potential applications in information storage and spintronic devices. The manipulation of skyrmion’s dynamics in the track is an important topic due to the skyrmion Hall effect, which can deviate the skyrmions from the preferred direction. We propose a new model based on the ferromagnetic skyrmion, where the skyrmion velocity can be well controlled by adjusting the direction of the current. Using ...