A local refinement purely meshless scheme for time fractional nonlinear Schrodinger equation in irregular geometry region

A local refinement hybrid scheme(LRCSPH-FDM)is proposed to solve the two-dimensional(2D)time fractional nonlinear Schrodinger equation(TF-NLSE)in regularly or irregularly shaped domains,and extends the scheme to predict the quantum mechanical properties governed by the time fractional Gross-Pitaevskii equation(TF-GPE)with the rotating Bose-Einstein condensate.It is the first application of the purely meshless method to the TF-NLSE to the author’s knowledge.The proposed LRCSPH-FDM(which is based on a local refinement corrected SPH method combined with FDM)is derived by using the finite difference scheme(FDM)to discretize the Caputo TF term,followed by using a corrected smoothed particle hydrodynamics(CSPH)scheme continuously without using the kernel derivative to approximate the spatial derivatives.Meanwhile,the local refinement technique is adopted to reduce the numerical error.In numerical simulations,the complex irregular geometry is considered to show the flexibility of the purely meshless particle method and its advantages over the grid-based method.The numerical convergence rate and merits of the proposed LRCSPH-FDM are illustrated by solving several 1D/2D(where 1D stands for one-dimensional)analytical TF-NLSEs in a rectangular region(with regular or irregular particle distribution)or in a region with irregular geometry.The proposed method is then used to predict the complex nonlinear dynamic characters of 2D TF-NLSE/TF-GPE in a complex irregular domain,and the results from the posed method are compared with those from the FDM.All the numerical results show that the present method has a good accuracy and flexible application capacity for the TF-NLSE/GPE in regions of a complex shape.     

基于广义阴阳表面活性剂体系对不同黏度区间原油的普适性降黏作用

采用脂肪酸-脂肪胺混合的广义阴阳体系,分别通过水相引入与油相引入两种方式对黏度分布在0.05-155 Pa?s范围内的4种原油进行乳化降黏。针对不同地区原油的组成特点与黏度成因,调整复配体系中脂肪酸-脂肪胺的分子结构,采用不同手段构筑乳状液:对于黏度较低的普通稠油,采用水相引入脂肪酸-脂肪胺复配体系的方法;而对于胶质、沥青质含量极高的超稠油,采用油相引入脂肪酸-脂肪胺复配体系黏的方法。两种方法的降黏率均达到95%-99%,获得较为理想的降黏效果。     

液态In-80wt%Sn合金结构的分形分析

在X射线衍射实验的基础上，把分形理论用于分析In-80wt%Sn在300℃时的液态结构，发现液态结构是一种多度域分形结构，并提出液态结构多度域分形模型.通过分形分析，液态合金的整体结构被清晰地呈现出来.推测多度域两分形之间过渡区的大小和液态合金性质有关，过渡区的变化可能反映了液态合金性质的变化. 关键词： 液态合金结构 分形理论 多度域分形     

功率型GaN基发光二极管芯片表面温度及亮度分布的物理特性研究

基于电流连续方程、欧姆定律及定性三维热流传导模型研究发光二极管(LED)芯片 的电流密度分布、热量、温度之间的相互交叉关系,进而测试分析GaN基蓝光 LED电流扩展效应和亮度分布的关系,认为芯片亮度变化趋势可作为判别电流扩 展性能的有效手段. 由于芯片表面温度、亮度分布和电流密度之间存在紧密的联结 关系,通过测试芯片表面温度或亮度分布就可定性了解器件电流扩展性能, 从而为优化电极结构提供一种判定依据. 在不同电流和热沉温度下,进一步 讨论了电流密度非均匀性和亮度分布的关系, 电流密度拥挤将导致芯片局 部区域热量堆积,非辐射复合作用增强,限制出射光子数目, 因此热 量是影响亮度分布的重要因素之一. 通过载流子传输机理进一步说明 温度影响亮度均匀性的原因,并通过实验说明理论分析的可行性. 通过优化电极结构能改善器件的电流扩展效应以及亮度均匀性, 对提高大功率LED的可靠性具有重要作用.     

离子交换富集-ICP-OES测定沉积物中痕量钼

建立了以717型强碱性阴离子树脂富集-电感耦合等离子体-发射光谱法测定沉积物样品中痕量钼的分析方法,优化了各项仪器条件、化学条件及操作参数。并考察了共存离子的干扰。本法测定钼的检出限为0.09μg/L,回收率在98.2%—105.9%之间,方法应用于沉积物样品中微量钼的测定,获得满意的结果。     

一类奇摄动非线性方程Robin问题激波的位置

利用匹配法构造了一类奇摄动非线性方程Robin问题激波解的渐近表示式.得出了激波在边界附近出现的条件.     

基于六角氮化硼二维薄膜的忆阻器

报道了一种基于多层六角氮化硼(h-BN)二维薄膜的忆阻器件.该器件不需要电预处理过程,且具有自限流的双极性阻变行为;具有较好的抗疲劳性和较长的数据保持时间.该器件在脉冲编程条件下具有模拟转变特性,即在连续的电压脉冲下器件的电阻态能被连续地调控,使得该器件能够模仿神经网络系统中的神经突触权重变化行为.综上所述,基于多层h-BN的忆阻器具有应用在非易失性存储和神经计算中的潜力.     

Approximate Analytic Solution of Solitary Wave for a Class of Nonlinear Disturbed Long-Wave System

In this paper, the approximate expressions of the solitary wave solutions for a class of nonlinear disturbed long-wave system are constructed using the homotopic mapping method.     

Giant and negative bistable shifts for one-dimensional photonic crystal containing a nonlinear metamaterial defect

In this Letter, we investigate giant and negative bistable lateral shifts for a light beam transmitted through a one-dimensional photonic crystal containing a nonlinear metamaterial defect. It is shown that there exists a typical S-shaped curve of the normalized input-output intensity. The hysteresis of lateral shift, resulting from the reshaping effect (constructive and destructive interferences of each plane wave components undergoing different phase shifts) is dependent on the nonlinear defect, the incident intensity and incidence angle. Numerical simulations are also made for the validity of stationary phase approach. All these phenomena lead to potential applications in integrated optics and optical switches.     

惰气熔融-红外光谱法测定7LiF中的氧含量

7LiF是制备熔盐堆冷却剂7LiF-BeF2熔盐的基础原材料,其杂质含量的多少与熔盐纯度及应用性能直接相关。采用惰气熔融-红外吸收法,建立了熔盐堆用7LiF中杂质氧含量测定的新方法。考察了不同助熔剂和加热功率等条件对7LiF中氧含量的影响,找到了较好的 7LiF中氧含量测定方法。在分析功率为2200W,用银舟做助熔剂,称样量为0.1 g的条件下对7LiF试样进行了测定,氧的相对标准偏差为2.9%;加标回收率为103-110%。结果表明,本测定方法易操作,速度快,能满足7LiF生产过程中的质量控制要求,为第四代先进核能反应堆用7LiF规模化制备提供了有力的技术支持。