Enhancement of next-nearest-neighbouring entanglement in quantum Ising spin chain

Using the method of the Jordan--Wigner transformation for solving different spin--spin correlation functions, we have investigated the generation of next-nearest-neighbouring entanglement in a one-dimensional quantum Ising spin chain with the Gaussian distribution impurities of exchange couplings and external magnetic fields taken into account. The maximal value of entanglement between the next-nearest-neighbouring qubits in the transverse Ising model was analysed in detail by varying the effectively controlled parameters such as interchange coupling, magnetic field and the system impurity. For such systems, where both exchange couplings and external magnetic field disorder appear, we show that it is possible to achieve next-nearest-neighbouring entanglement better than the previously discussed pure Ising spin chain case. We also show that the Gaussian distribution impurity can induce next-nearest-neighbouring entanglement, which can be used as a means to characterize quantum phase transition.     

Entanglement properties in a system of a pairwise entangled state

Based on the quantum information theory, this paper has investigated the entanglement properties of a system which is composed of the two entangled two-level atoms interacting with the two-mode entangled coherent fields. The influences of the strength of light field and the two parameters of entanglement between the two-mode fields on the field entropy and on the negative eigenvalues of partial transposition of density matrix are discussed by using numerical calculations. The result shows that the entanglement properties in a system of a pairwise entangled states can be controlled by appropriately choosing the two parameters of entanglement between the two-mode entangled coherent fields and the strength of two light fields respectively.     

离心泵叶轮内密相液固两相湍流的数值模拟

利用作者建立的描述密相液固两相湍流的 KET模型和推导的基本控制方程组 ,在处理壁面边界条件时考虑了颗粒和叶片的相互碰撞作用 ,对离心泵叶轮内密相液固两相流动进行了数值模拟 ,得到了泵叶轮内两相流动的一些规律 ,为液固两相流泵的设计提供了一定的理论依据。     

K-ε-T model of dense liquid-solid two-phase turbulent flow and its application to the pipe flow

To predict the characteristics of dense liquid-solid two-phase flow, K-ε-T model is established, in which the turbulent flow of fluid phase is described with fluid turbulent kinetic energy K_f and its dissipation rate ε_f, and the particles random motion is described with particle turbulent energy K_p and its dissipation rate ε_p and pseudothermal temperature T_p. The governing equations are also derived. With K-ε-T model, numerical study of dense liquid-solid two-phase turbulent up-flow in a pipe is performed. The calculated results are in good agreement with experimental data of Alajbegovic et al. (1994), and some flow features are captured.     

低铂Pt/SiC制备及对氧还原反应的催化性能表征

采用乙二醇回流法成功制备了理论含铂量为14;的Pt/SiC阴极催化剂.利用X射线衍射(XRD)、扫描电镜(SEM)、透射电镜(TEM)、X射线光电子能谱(XPS)对催化剂晶型结构、表面形貌和表面电子结构进行了表征.应用循环伏安法和旋转圆盘电极进行电化学测试,研究了Pt/SiC催化剂对氧还原反应催化活性.结果表明,在180℃条件下合成的Pt/SiC催化剂的平均粒径为3.4 nm,Pt是面心立方结构.Pt在SiC表面以0价为主,有利于O2在其表面的吸附和解离.Pt/SiC-180催化剂具有与商业Pt/C(20;)催化剂相近的氧还原催化性能.Pt/SiC-180催化剂的起始还原电位为0.95 V,氧还原过程以4-电子路径为主,且稳定性和抗甲醇中毒性能明显优于商业Pt/C催化剂.优良的催化性能和较低的含铂量使其有望成为低铂燃料电池阴极催化潜在材料.     

基于有效性的集值映射最优化的广义共轭对偶理论

讨论在锥控意义下，建立有效性上的集值映射最优化问题的广义共地偶理论，证明了弱，强对偶定理和鞍点定理。     

不易发现的错解

现行高中《平面解析几何》课本中有这样一个命题[1]:“点M与点F(4,0)的距离比它到直线x+5=0的距离小1,求点M的轨迹方程,”对基础较好的学生来说会联想到用抛物线的定义去解非常简单,它等价于命题“点M与点F(4,0)的距离等于它列直线x=-4的距离,求点M的轨迹方程。”很明显答案为y~2=16x,解法很巧妙!     

正n边形的渐开线方程

正ｎ边形的渐开线方程２０２１６３上海市崇明县大公中学顾健家本文研究正ｎ边形的渐开线及其方程．以正ｎ这形的中心Ｏ为原点，过中心且平行于一条水平边的直线为ｘ轴，建立直角坐标系ｘｏｙ（如图）．因为正ｎ边形的渐开线是分别以Ａ１，Ａ２，…，Ａｎ为图心，ＡｋＭ（...     

推拉电子取代基对二茂铁衍生物性质及电子结构的影响

根据前线轨道理论分析３种具有推拉电子取代基的二茂铁衍生物循环伏安曲线、电子吸收光谱及光谱电化学行为，并给出了分子轨道能级图，实验结果表明，ＰⅡ有两对可逆氧化还原峰，Ｅ１、Ｅ２分别为０．３３、０．５９Ｖ，第一氧化态ＰⅡ＋￣（Ｄ—Ｆｃ￣＋—Ｒ）在６１３ｎｍ有强的ＬＭＣＴ（ｌｉｇａｎｄ－ｔｏ－ｍｅｔａｌ－ｃｈａｒｇｅ－ｔｒａｎｓｆｅｒ）带，是一种良好的光学特性氧化还原开关．ＰⅡ在３５４ｎｍ处出现强的ＬＭＣＴ带，ＰⅢ在３５６ｎｍ和３２０ｎｍ处分别出现强的ＬＭＣＴ和π→πＣＴ带，应具有较高的二阶分子极化系数，应当是较好的ＳＨＧ材料．     

直圆管突扩通道内宾汉流体湍流流场的数值研究

本文依据牛顿流体中建立的标准ｋ＿ε湍流模型这一基本思想，考虑宾汉流体的本构方程，建立了适用于求解宾汉流体湍流流动的控制方程·采用压力修正算法，实现了宾汉流体速度场与压力场的关联·在理论研究基础上，对直圆管突扩通道内宾汉流体湍流流动进行了数值研究，并探讨了直圆管突扩通道内宾汉流体湍流流动机理·