On Direct Transformation Approach to Asymptotical Analytical Solutions of Perturbed Partial Differential Equation

In this article, we will derive an equality, where the Taylor series expansion around ε = 0for any asymptotical analytical solution of the perturbed partial differential equation (PDE) with perturbing parameter ε must be admitted.By making use of the equality, we may obtain a transformation, which directly map the analytical solutions of a given unperturbed PDE to the asymptotical analytical solutions of the corresponding perturbed one. The notion of Lie-B(a)cklund symmetries is introduced in order to obtain more transformations. Hence, we can directly create more transformations in virtue of known Lie-B(a)cklund symmetries and recursion operators of corresponding unperturbed equation. The perturbed Burgers equation and the perturbed Korteweg-de Vries (KdV) equation are used as examples.     

Self-organized Criticality in an Earthquake Model on Random Network

A simplified Olami-Feder-Christensen model on a random network has been studied. We propose a new toppling rule — when there is an unstable site toppling, the energy of the site is redistributed to its nearest neighbors randomly not averagely. The simulation results indicate that the model displays self-organized criticality when the system is conservative, and the avalanche size probability distribution of the system obeys finite size scaling. When the system is nonconservative, the model does not display scaling behavior. Simulation results of our model with different nearest neighbors q is also compared, which indicates that the spatial topology does not alter the critical behavior of the system.     

Establishment of Configuration with Optimized Current Profile in Pellet Fuelled Discharge on HL-2A

A sawtooth-free period is produced following the pellet injection in the pellet fuelled discharge of qa = 3.4 （where qa is the safety factor at the plasma boundary） in the HL-2A tokamak. Establishment of the current profile such as in the hybrid scenario is studied under the condition of pellet injection in HL-2A. It is shown that a q-profile of weak negative shear is produced immediately after the pellet injection, and it then evolves to a broad flat profile with q0 〉 1 （where qo is the safety factor at the centre）. The measured MHD mode structures evidence consistencies of the evaluated q-profile with locations of the q = 1 surface in the sawtoothing period and of the q = 2 surface in the sawtooth-free period. TRANSP analysis indicates that the energy confinement is enhanced substantially during and after pellet injection, which is resulted from the q-profile optimization and the plasma density peaking.     

Non-perturbative Aspects of QCD and Parameterized Quark Propagator

Based on the Global Color Symmetry Model, the non-perturbative Q, CD vacuum is investigated in the parameterized fully dressed quark propagator. Our theoretical predictions for various quantities characterized the QCD vacuum are in agreement with those predicted by many other phenomenologieal QCD inspired models. The successful predictions clearly indicate the extensive validity of our parameterized quark propagator used here. A detailed discussion on the arbitrariness in determining the integration cut-off parameter ofμ in calculating QCD vacuum condensates and a good method, which avoided the dependence of calculating results on the cut-off parameter is also strongly recommended to readers.     

NaGdF4纳米晶多元醇法的合成、表征与NaGdF4：Eu3+和NaGdF4：Yb3+, Er3+纳米晶的发光

通过多元醇法(polyol method)合成出NaGdF₄:Eu³⁺和NaGdF₄:Yb³⁺,Er³⁺纳米晶,利用X射线衍射(XRD)、场发射扫描电镜(FE-SEM)和傅立叶变换红外吸收光谱(FT-IR)对合成的样品进行了表征。研究了Eu³⁺掺杂样品的下转换发光和Yb³⁺/Er³⁺共掺杂样品的上转换发光。对未经退火和经过退火的样品进行了比较。     

SmCo5矫顽力与相变研究

用正电子湮没技术、1000kV超高压电子显微镜结合磁测量研究了SmCo₅永磁合金在回火中相析出和矫顽力机制。得出:从SmCo₅析出的Sm₂Co₁₇相本身不是反磁化形核中心,析出的Sm₂Co₁₇相中存在的某些多缺陷区域可以具有很低的磁各向异性,从而成为反磁化形核中心,使内禀矫顽力下降。实验中发现:SmCo₅从25℃到900℃回火,750℃出现最大磁不可逆损失。各种近邻Sm³⁺分布的中心Sm³⁺的磁各向异性随温度变化,越接近Sm₂Co₁₇结构,Sm³⁺为负磁各向异性的可能性越大。 关键词：     

高斯-谢尔模型光束通过光阑像散透镜传输轴上光谱变化

从部分相干光的传输理论出发,研究了高斯-谢尔模型(GSM)光束通过光阑像散透镜传输轴上的光谱变化规律.结果表明,与光源光谱相比,高斯-谢尔模型(GSM)光束通过光阑像散透镜传输轴上光谱发生了中心频率的移动,这种现象被称为光谱位移.详细分析了透镜的像散、光束的空间相关性和光阑的截断参量对光谱变化的影响.数值计算表明,这些参量会对光谱移动产生比较大的作用.     

基于CCD的无接触式的物体测量

基于CCD的物体测量平台，首先对物体图像进行预处理，继而利用Canny算子提取物体边缘，再通过本文改进的Hough变换实现对被测物体边界直线检测和重构，最后通过多项式插值算法实现物体像素尺寸到物体实际尺寸的转换．实验证明，此方法能够实现无接触式物体尺寸较高精度的测量．     

In situ observation of NaBi(WO4)2 dendrite growth and the study on microstructure of solidification

The dendrite growth process of transparent NaBi(WO4)2 with small prandtl and high melting point was studied by using the in-situ observation system. According to the dynamic images and detailed information, there are two kinds of restriction effect on the dendrite growth, the competition between arms and branches and the convection in the melt. The dendrite growth rate was time dependent, and the rate of arm growth reached the maximum 5.8 mm/s in the diffusive-advective region and rapidly decreased in the diffusive-convective region. The growth rate of branch had the same change trends as the arm's. Based on the EPMA-EDS data of solidification structure of quenched NaBi(WO4)2 melt, it was found that there were component differences from stoichiometric concentration in the melt near the interface during the growth process.     

C+轰击铍的分子动力学模拟

使用分子动力学模拟方法研究了入射能量对C⁺离子与Be样品表面相互作用的影响。模拟结果表明,随着C⁺离子的入射能量增大,C⁺离子注入深度也增加,Be原子的溅射产额近似线性增加,而滞留在样品中的C原子数量变化不大,在C⁺离子轰击Be样品的初始阶段,样品中Be原子的溅射产额较大,而随着C⁺离子注入剂量的增加,Be原子的溅射产额逐渐减小并趋于稳定。在此作用过程中,在样品表面形成一个富C层,减缓了样品中Be原子的溅射速率,起到了保护Be样品的作用。