An Analogue-difference Method and Application to Induction Motor Models

The paper established a so-called analogue-difference method (ADM) to compute the numerical solutions for boundary value problems of higher-order differential equations, which can be a fundamental method and performs much better than the finite difference method (FDM), even for second-order boundary value problems. Numerical examples and results illustrate the simplicity, efficiency and applicability of the method, which also show that the proposed method has obvious advantages over the methods presented by recent state-of-the-art work for induction motor models.     

Landau quantization and the thickness limit of topological insulator thin films of Sb2Te3

We report the experimental observation of Landau quantization of molecular beam epitaxy grown Sb{2}Te{3} thin films by a low-temperature scanning tunneling microscope. Different from all the reported systems, the Landau quantization in a Sb{2}Te{3} topological insulator is not sensitive to the intrinsic substitutional defects in the films. As a result, a nearly perfect linear energy dispersion of surface states as a 2D massless Dirac fermion system is achieved. We demonstrate that four quintuple layers are the thickness limit for a Sb{2}Te{3} thin film being a 3D topological insulator. The mechanism of the Landau-level broadening is discussed in terms of enhanced quasiparticle lifetime.     

Picturing quantum phase transitions

We discuss the quantum phase transitions (QPT) in N-spin chains from the point of view of collective observables. We show that the measurement space representation is a convenient tool for the analysis of phase transitions, allowing the determination of an appropriate set of macroscopic order parameters (for a given Hamiltonian). Quantum correlations in the vicinity of the critical points are analyzed both in the ground states and low temperature thermal states.     

类锂离子(Z=11～20)1s~22s-1s~23p的跃迁能和振子强度

用全实加关联方法计算类锂离子 (Z =11～ 2 0 )偶极跃迁 1s2 2s 2 S - 1s2 3p 2 P , 的跃迁能。非相对论能量用Rayleigh -Ritz变分法确定 ,相对论修正和质量极化效应用微扰论计算 ,还估算了来自量子电动力学效应的修正。得到的计算结果与现有的实验数据符合得很好 ,我们关于氯的类锂离子 (Z =17) 1s2 3p态的精细结构劈裂的计算结果揭示 ,相应的实验数据明显偏离等电子序列的物理规律。还算了 1s2 2s -1s2 3p偶极跃迁的振子强度     

Magnetoadsorptive Particles Enabling the Centrifugation‐Free,Preparative‐Scale Separation,and Sorting of Single‐Walled Carbon Nanotubes

A novel magnetic composition of the high surface area particles with amide chemical functionality, Sephacryl S‐200, is reported enabling the preparative‐scale (1 L, ≈5–10 mg) separation of metallic and semiconducting single‐walled carbon nanotubes (SWNT) from completely unpurified and uncentrifuged nanotube stocks. Sephacryl S‐200 has previously been utilized in separating semiconducting SWNT (s‐SWNT) on the laboratory scale. Significantly, use of these magnetic derivative particles in absorptive separation of SWNT allows the unprecedented and industrially scalable purification of both metallic SWNT (m‐SWNT) as well as s‐SWNT directly from uncentrifuged, ultrasonicated surfactant‐based SWNT solutions by simple and scalable magnetic separation. These particles also allowed for the systematic study on the effect of SWNT–polymer interaction time on the resulting SWNT “payloads.” Ultimately, high ‐purity m‐SWNT and s‐SWNT products are independently achieved by controlling the SWNT–polymer interaction time and relative concentrations, as well as SWNT sonication conditions. Furthermore, by controlling these factors, single‐chirality (6,5) s‐SWNT can be isolated with 92% purity directly from unpurified stocks. Thermogravimetric analysis indicates a total process SWNT yield of 1.2% and 1.7% for m‐SWNT and s‐SWNT, respectively. These results demonstrate the potential for a preparative method for separating carbon nanotubes based on electronic properties.     

强场物理中自生磁场的实验研究

为了获得飞秒激光与固体靶相互作用中自生磁场的大小与空间分布情况, 利用光学多道分析（OMA）谱仪（谱分辨0.1nm ）加电荷耦合器件（CCD）相机（11521242）探测设备, 用消色差的相机镜头作为空间分辨,在固体靶前表面测量了激光的高次谐波（n0）光谱, 观测到了n0光谱的精细结构及其频率间隔,由此推出激光与固体靶相互作用中产生的等离子体内的自生磁场达60-70特斯拉（T）量级, 且越接近靶法线方向磁场越强,其一维空间分布为环形。 这一结果为进一步研究强场物理中自生磁场的特性及等离子体的整体行为提供了依据。     

同轴介质阻挡放电发生器介质层等效电容和负载特性研究

大气压介质阻挡放电(DBD)可以在常压下产生非平衡等离子体,已经成为热点研究领域.通过脉冲或交变电源激发放电,研究电源输出特性、电源与放电发生器负载间的匹配和外界条件对放电的影响对于理解放电现象和提高放电效率具有重要意义.本文采用Lissajous图形法,分别研究了驱动电压、气流速率等因素影响同轴DBD发生器介质层等效电容及负载幅频特性的规律.结果表明,气流速率和驱动电压等外界条件影响DBD发生器的负载特性:介质层等效电容随气流速率增大而减小,随驱动电压增大而增大;幅频特性曲线均表现出RLC回路谐振现象,谐振频率随气流速率增大而增大,随驱动电压增大而减小.通过对比发现,介质层等效电容随频率的变化曲线与幅频特性曲线具有一致的特征,介质层等效电容是影响电路谐振频率动态变化的主要因素.提出了一种有关介质层等效电容的形成机制.     

固态vander WaalsC 60膜晶格的Coulomb膨胀

利用扫描隧道显微镜观测到生长在GaAs(0 0 1 ) 2× 4表面上的固态vanderWaals C₆₀ 膜在室温下较之C₆₀ 晶体具有 1 3%的晶格膨胀 .这种膨胀是由从GaAs衬底饱和的As悬挂键上转移到C₆₀分子上的电荷之间的Coulomb作用引起的 .理论计算表明 ,平均约有 1 76个电子转移到每个C₆₀分子上 .有趣的是 ,该固态C₆₀ 膜为 (1 1 0 )取向 ,这明显不同于生长于其他半导体或金属表面上的具有 (1 1 1 )取向的六角密排C₆₀膜 .这种反常取向的薄膜是由GaAs衬底的各向异性产生的一维限制作用导致的 .通过选择不同的衬底 ,可以控制C₆₀薄膜的晶体生长     

硫酸氢酯类药剂浮选铜的量子化学研究

我国矿产资源日益匮乏,对浮选药剂的选择性和安全性提出了更高的要求,设计新型药剂势在必行.运用密度泛函理论,选取B3LYP/6-311+G(d, p)方法基组,对碳原子数在15～21的硫酸氢酯类浮选药剂浮选铜离子进行了计算研究.通过几何参数优化、电荷密度分布及吸附能变化,探讨了碳原子数为15～21的硫酸氢酯类浮选药剂对铜离子浮选性能的改良,综合考虑各种因素, C_(17)(十七烷基硫酸氢酯)浮选效果较好.结论对研究浮选机理及分子模拟设计新型浮选药剂具有指导意义.     

Global asymptotic stability of a generalized SIRS epidemic model with transfer from infectious to susceptible

In this paper, we propose a generalized SIRS epidemic model with varying total population size caused by the death rate due to the disease and transfer from infectious to susceptible, where the incidence rate employed includs a wide range of monotonic and concave incidence rates. Applying the geometric approach developed by Smith, Li and Muldowey, we prove that the endemic equilibrium is globally asymptotically stable provided that the rate of loss of immuity $\delta$ is in a critical interval $[\eta,\bar\delta)$ when the basic reproduction number $R_0$ is greater than unity.