对乙酰基偶氮氯膦与镧显色反应的研究及应用

研究了对乙酰基偶氮氯膦与镧的显色反应 ,在 0 .2 mol/L 盐酸介质中 ,有乙醇及吐温 - 80存在时 ,生成3∶ 1紫色络合物。 λmax=6 75 nm,ε=7.33× 1 0 4 L· mol- 1· cm- 1。采用双波长法 ,以 5 30 nm为参比波长 ,6 75 nm为测定波长 ,ε=9.2 0× 1 0 4 L· mol- 1· cm- 1 ,镧含量在 0— 37.5 μg/2 5 m L范围内符合比耳定律。本法用于电子工业钛酸镧烧结中游离氧化镧的测定 ,结果令人满意。     

Entanglement control in one-dimensional s= 1/2 random XY spin chain

The entanglement in one-dimensional random XY spin systems where the impurities of exchange couplings and the external magnetic fields are considered as random variables is investigated by solving the different spin-spin correlation functions and the average magnetization per spin. The entanglement dynamics near particular locations of the system is also studied when the exchange couplings （or the external magnetic fields） satisfy three different distributions （the Gaussian distribution, double-Gaussian distribution, and bimodal distribution）. We find that the entanglement can be controlled by varying the strength of external magnetic field and the distributions of impurities. Moreover, the entanglement of some nearest-neighbouring qubits can be increased for certain parameter values of the three different distributions.     

Entanglement in One-Dimensional Random XY Spin Chain with Dzyaloshinskii--Moriya Interaction

The impurities of exchange couplings, external magnetic fields and Dzyaloshinskii-Moriya （DM） interaction considered as Gaussian distribution, and the entanglement in one-dimensional random XY spin systems is investigated by the method of solving the different spin-spin correlation functions and the average magnetization per spin. The entanglement dynamics at central locations of ferromagnetic and antiferromagnetic chains have been studied by varying the three impurities and the strength of DM interaction. （i） For the ferromagnetic spin chain, the weak DM interaction can improve the amount of entanglement to a large value, and the impurities have the opposite effect on the entanglement below and above critical DM interaction. （ii） For the antiferromagnetic spin chain, DM interaction can enhance the entanglement to a steady value. Our results imply that DM interaction strength, the impurity and exchange couplings （or magnetic field） play competing roles in enhancing quantum entanglement.     

A New Type of Terahertz Waveguides

A new type of THz waveguides, which employs a solid polyethylene rod as the core and polyethylene tubes in a periodic array of square lattice as the cladding, is proposed. Optical properties of this new THz waveguide, especially in dispersion, confinement loss and single mode property, are investigated in detail with the plane wave expansion method and the beam propagation method. Numerical results demonstrate that the new THz waveguide can reach not only low dispersion but also low confinement loss at single mode propagation. Therefore, the square lattice structure is a better candidate as THz waveguides than the triangular ones.     

具有周期非均匀扰动的色散管理系统中的孤子传输

在准理想的色散管理系统中建立了非均匀扰动模型,研究了它们对孤子传输和相互作用的影响.这些扰动导致孤子崩塌,加剧了孤子间相互作用.它们影响的大小与周期长度和扰动强度有关,并且存在最坏周期长度和扰动共振现像.最后,引入非线性增益和滤波器来有效控制这些扰动的影响.     

正则长波方程的三次配点法

本文讨论了正则长波方程(RLW方程)的三次配点法,得到半离散格式的最优阶误差估计,同时给出基于向后Euler法的全离散格式,并证明了相应的误差估计.     

粘弹性波动方程的H~1-Galerkin混合有限元方法误差估计(英文)

H1-Galerkin mixed methods are proposed for viscoelasticity wave equation.Depending on the physical quantities of interest,two methods are discussed.The optimal error estimates and the proof of the existence and uniqueness of semidiscrete solutions are derived for problems in one space dimension.And the methods don＇t require the LBB condition.     

粘弹性波动方程的H1-Galerkin时空混合有限元分裂格式

构造一维粘弹性波动方程的H¹-Galerkin时空有限元分裂格式.这种新的分裂格式在时空两个方向同时利用有限元离散,具有H¹-Galerkin混合有限元方法和时空有限元方法的优点,如在不受LBB相容性条件限制的同时能够高精度逼近流体的压力和达西速度,有限元空间可以利用不同次数的多项式空间,能同时得到时间和空间两个变量的形式高阶精度等.通过构造时空投影算子并讨论其相关逼近性质,证明了解的存在唯一性和稳定性,给出混合时空有限元解的误差估计,给出数值算例验证了理论推导结果的合理性和算法的有效性,并和传统H¹-Galerkin方法做比较,得到了更小的误差和超收敛阶.     

Switching and Self-trapping Dynamics of Dark Solitons in a Two-Component Bose-Einstein Condensate

Two coupled dark solitons are considered in a two-component Bose-Einstein condensate, and their dynamics are investigated by the variational approach based the renormalized integrals of motion. The stationary states as physical solutions to the describing equations are obtained, and the dynamic mechanism is demonstrated by performing a coordinate of a classical particle moving in an effective potential field. The switching and selftrapping dynamics of the coupled dark vector solitons are discussed by the evolution of the atom population transferring ratio.     

Cu含量对Ni_(55)Fe_(18)Ga_(27)合金结构和磁性的影响

系统研究了Cu分别替代Fe和Ni对Ni_(55)Fe_(18)Ga_(27)结构和磁性的影响.结果表明:熔炼Ni_(55)Fe_(18-x)Cu_xGa_(27 )(x=1, 2, 3, 4)虽仍为奥氏体相结构,但伴有γ相出现;居里温度随Cu含量增加而降低,这是由于Cu掺杂引起过渡金属近邻原子间相互交换作用减弱所致;交流磁化率随Cu含量增加而降低,原因在于Fe是磁性的主要贡献者,Cu替代Fe会削弱Fe的磁矩,从而导致合金磁性降低.熔炼、退火和甩带Ni_(51)Cu_4Fe_(18)Ga_(27)均存在马氏体相变.熔炼样品马氏体相变温度最高,退火和甩带样品基本相同.这一特点表明热处理方式能够改变原子排列的有序度,因此可以通过改变热处理方式来调控马氏体相变温度.